What are m∠1 and m∠2?
A. ∠1 = 30°, m∠2 = 35°
B. ∠1 = 35°, m∠2 = 30°
C. ∠1 = 65°, m∠2 = 60°
D. ∠1 = 85°, m∠2 = 80°
Answers
The measure of m∠1 = 85 degrees and m∠2 = 15 degrees.
The correct answer is option D: ∠1 = 85°, m∠2 = 15°.
What is the right triangle?
A right-angle triangle is a triangle that has one of its angles 90 degrees. The sum of angles in a right triangle is 180 degrees.
To find the measures of angles 1 and 2, we can use the fact that the sum of the angles in a triangle is 180 degrees.
We know that angles 1, 2, and 3 form a triangle, so we can write:
m∠1 + m∠2 + m∠3 = 180
Substituting the given values, we get:
m∠1 + m∠2 + 80 = 180
Simplifying, we get:
m∠1 + m∠2 = 100
We also know that angles 2, 3, and 4 form a triangle, so we can write:
m∠2 + m∠3 + m∠4 = 180
Substituting the given values, we get:
m∠2 + 80 + 85 = 180
Simplifying, we get:
m∠2 = 15
Substituting this value in the first equation, we get:
m∠1 + 15 = 100
Simplifying, we get:
m∠1 = 85
Therefore, the measure of m∠1 = 85 degrees and m∠2 = 15 degrees.
The correct answer is option D: ∠1 = 85°, m∠2 = 15°.
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Answer:
Step-by-step explanation:
The measure of m∠1 = 85 degrees and m∠2 = 15 degrees.
The correct answer is option D: ∠1 = 85°, m∠2 = 15°.
What is the right triangle?
A right-angle triangle is a triangle that has one of its angles 90 degrees. The sum of angles in a right triangle is 180 degrees.
To find the measures of angles 1 and 2, we can use the fact that the sum of the angles in a triangle is 180 degrees.
We know that angles 1, 2, and 3 form a triangle, so we can write:
m∠1 + m∠2 + m∠3 = 180
Substituting the given values, we get:
m∠1 + m∠2 + 80 = 180
Simplifying, we get:
m∠1 + m∠2 = 100
We also know that angles 2, 3, and 4 form a triangle, so we can write:
m∠2 + m∠3 + m∠4 = 180
Substituting the given values, we get:
m∠2 + 80 + 85 = 180
Simplifying, we get:
m∠2 = 15
Substituting this value in the first equation, we get:
m∠1 + 15 = 100
Simplifying, we get:
m∠1 = 85
Therefore, the measure of m∠1 = 85 degrees and m∠2 = 15 degrees.
The correct answer is option D: ∠1 = 85°, m∠2 = 15°.
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Related Questions
Oceanside Bike Rental Shop charges 18 dollars plus 8 dollars an hour for renting a bike. Mary paid 74 dollars to rent a bike. How many hours did she pay to have the bike checked out ?
Answers
Answer: 7 hours! you do 74-18 to get 56 then you divide 56 by 8 to get 7.
Step-by-step explanation:
hope this helps!!
WILL MARK YOU BRAINLIEST PLEASE HELP ASAP
Answers
Answer:
29.5m because it is rectangular finger and one path is loss .loss Parth is triangle
hey! can y’all help with this?
Answers
Answer:
11
Step-by-step explanation:
Answer:
A) [tex]\sqrt21[/tex]
Step-by-step explanation:
First you have to plug in the numbers into the Pythagreom Theroum:
[tex]a^{2} +b^{2} =c^{2}[/tex]
[tex]\sqrt{5} ^{2} +4^{2} =c^{2}[/tex]
(C represents you hypotnuse)
Then you square the numbers:
5 + 16 = [tex]c^{2}[/tex]
(If your confused why [tex]\sqrt5^{2}[/tex] just came out to be 5, the square and the square root cancel each other out)
Then you add the numbers:
21 = [tex]c^{2}[/tex]
Then you sqaure root both sides to cancel out the [tex]c^{2}[/tex]:
c = [tex]\sqrt21[/tex]
Help
Gcse Foundation.
Answers
Redraw the triangle just 1/2 the size
Answer:
Answer is in the image attached.
Step-by-step explanation:
One of the legs of a right triangle measures 9 cm and the other leg measures 11 cm.
Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Answers
Answer:
[tex]\boxed {\boxed {\sf 14.2 \ cm}}[/tex]
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean Theorem to solve for the sides.
[tex]a^2+b^2=c^2[/tex]
where a and b are the legs and c is the hypotenuse. In this triangle, we know the legs are 9 centimeters and 11 centimeters, or:
a= 9 cm b= 11 cmSubstitute these values into the formula.
[tex](9 \ cm)^{2} +(11 \ cm)^{2} =c^{2}[/tex]
Solve the exponents.
(9 cm)²= 9 cm*9 cm=81 cm²[tex]81 \ cm^{2} +(11 \ cm)^{2} =c^{2}[/tex]
(11 cm)²= 11 cm*11 cm= 121 cm²[tex]81 \ cm^{2} +121 cm^{2} =c^{2}[/tex]
Add the values on the left side.
[tex]202 \ cm^{2} =c^{2}[/tex]
Since we are solving for c, we must isolate the variable. It is being squared and the inverse of a square is the square root. Take the square root of both sides.
[tex]\sqrt {202 \ cm^{2} }=\sqrt{c^{2} }[/tex]
[tex]\sqrt {202 \ cm^{2} }=c[/tex]
[tex]14.2126704036 \ cm =c[/tex]
We are told to round to the nearest tenth.
14.2126704036The 1 in the hundredth place tells us to leave the 2 in the tenth place.
[tex]14.2 \ cm= c[/tex]
The hypotenuse is equal to 14.2 centimeters.
Decide if the following statement is
valid or invalid.
If the base of a triangle is 3 and its
height is 4, then its area is 6. This
triangle has an area of 6, so its
base is 3 and its height is 4.
Answers
Step-by-step explanation:
the area of a triangle is base times height divided by 2.
A = (b × h) / 2
so, when b = 3 and h = 4, then
A = (3 × 4) / 2 = 12 / 2 = 6
correct.
now the other way around
we know the area (6).
=> 6 = (b × h) / 2
=> 12 = b × h
well, b=3, h=4 is one possible solution for this.
but so is e.g. b=2, h=6, or b=12, h=1, or ...
and that is just the natural numbers. then there are rational numbers and so on.
therefore there is an infinite set of possible (b, h) pairs that satisfy the equation 12 = b × h.
therefore the statement that we can conclude out of a given triangle area of 6 that b must be then 3 and h must be 4 is wrong.
simple - it is one equation with 2 variables and has therefore usually not just one solution.
Make up an equation of the form y = kx +b, the graph of which passes through the following points:
P (4, 1) and Q (3, –5)
Answers
Answer:
y=6x-23
Step-by-step explanation:
Step-by-step explanation:
m = (y2 - y1)/(x2-x1)
m = (-5 -1)/(3-4) = -6/-1 = 6
y = 6x + b
then
slope point form
y - y1 = m (x - x1)
y - 1 = 6 (x - 4)
y - 1 = 6x - 24
y = 6x - 23
dividing decimals up to 2 decimal places
1.0.2÷6.11
Answers
Answer:
its 6.11
6.11 ÷ 1 = 6.11
Calculated to 2 decimal places.
6. 1 1
1 6. 1 1
− 6
0 1
− 1
0 1
− 1
0
Two cards are chosen at random from a standard 52-card deck. What is the probability that the first card is a heart and the second card is a 10
Answers
The probability that the first card is a heart and the second card is a 10 is 1/51.
What is the probability?Probability with Replacement is used for questions where the outcomes are returned to the sample space again. This means that once the item is selected, it is replaced in the sample space, so the number of elements of the sample space remains unchanged.
The following combinations are possible:
When we choose first card, total no. of card is 52 and card of heart is 13
so the probability of the first card to be heart is
P(1)= 13/52
= 1/4
When we choose second card, total no. of card is 51 and card of 10 is 4
so the probability of the first card to be 10 is
p(2)= 4/51
So the final probability is
= P(1)* P(2)
= 1/4 * 4/51
= 1/51
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Given the picture below, where would point A’ be located after a dilation of 2 centered at point D (red point)
Answers
After dilation, the co-ordinate of point A will be (-4,4) while B will be (2,4) and of C will be (-2,0).
After dilation, how do you locate points?The distance between the point of dilation and the point you are dilating must be multiplied by three if the point you are dilating is directly above the point of dilation and you are dilating by 3. You inserted your new point there.
How can a point be widened by two?The x-value of each point will be multiplied by 2 to enlarge the image by a factor of two. The x and y values of each point will be multiplied by 2 to enlarge the figure by a factor of 2.
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N(t) = 8950 times (0.7)^2t
Answers
Answer: t = 0
Step-by-step explanation:
Expand 8950×0.7²: 4385.5t
8950(0.7) ²t
8950×0.49t = 4385.5t
N(t) = 4385.5t
N(t) - 4385.5t=0
Factor N(t) - 4385.5t: t (N - 4385.5)
t (N - 4385.5) =0
t=0
HELP!!!
Marta bakes 3 types of cake: chocolate, fruit, and sponge. The recipe for each cake includes flour and sugar and she uses 3.3kg of flour and 3.1kg of sugar in total.
Each chocolate cake uses 225 g of flour and 300g of sugar
Each fruit cake uses 320g of flour and 250g of sugar
Each sponge cake uses 400 g of flour and 325g of sugar
Marta sells chocolate cakes for $12, fruit cakes for $10, and sponge cakes for $8 and makes a total of $114
How many of each cake does she make?
(Answer in the back of the book: 4 chocolate, 5 fruit, 2 sponge cakes)
Answers
The three equations for this problem are:
The total amount of flour used: 3.3kg = (225g/cake) * (number of chocolate cakes) + (320g/cake) * (number of fruit cakes) + (400g/cake) * (number of sponge cakes)The total amount of sugar used: 3.1kg = (300g/cake) * (number of chocolate cakes) + (250g/cake) * (number of fruit cakes) + (325g/cake) * (number of sponge cakes)The total revenue from sales: $114 = ($12/cake) * (number of chocolate cakes) + ($10/cake) * (number of fruit cakes) + ($8/cake) * (number of sponge cakes)Let's call the number of chocolate cakes x, the number of fruit cakes y, and the number of sponge cakes z
so the
first equation can be written as 3.31000 = (225x) + (320y) + (400z)second 3.11000 = (300x) + (250y) + (325z)and third one 114 = (12x) + (10y) + (8*z)let's use the third equation to get the value of x,y and z:
x = (114 - 10y - 8z) / 12y = (114 - 12x - 8z) / 10z = (114 - 12x - 10y) / 8If you get the values and substitute, then the answer would be:
4 chocolate cakes, 5 fruit cakes, 2 sponge cakes
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Please solve it's worth 12 points
Answers
Answer:
65
Step-by-step explanation:
260/4=65
65*4=260
The cafeteria sold 8 more turkey sandwiches than ham sandwiches. They sold 12 sandwiches in all. How many turkey sandwiches did the cafeteria sell?
Answers
Answer:The cafeteria sold 2 Ham sandwiches and 10 Turkey sandwiches
Step-by-step explanation:
Let the number of Ham sandwiches be rep as x
and turkey sandwiches be x+8
such that the equation to solve the question since total amount of sandwiches sold is 12 becomes '
x + x+8=12
2x+8=12
2x=12-8=44
x=4/2=2
Therefore number of ham sandwiches sold is 2
and number of turkey sandwiches sold is x+8=2+8=10
Janine collects sports equipment. 1/2 of her collection are sports balls. Of the sports balls 1/4 of them are softballs. How much of the sport equipment are softballs?
Answers
Answer:
1/8
Step-by-step explanation:
Answer:
1/8
Step-by-step explanation:
convert this to a decimal.
1/2 = 0.50
1/4 = 0.25
0.5 x 0.25 = 0.125
0.125 x 8 = 1
Which strategies can be used to find the product of 1,587 x 1,000? Select two options
Answers
Answer:
Step-by-step explanation:
you can multiple and get 1,587,000]and then you divide to get 8 [tex]\sqrt{1587000[/tex]Please Help! I need you to solve the inequality for the box. This is grade 7 math.
Answers
Answer:
Oki! Mizuki here to help!
The answer you fill in the box is 6!
Step-by-step explanation:
3.5s + 5.75 [tex]\leq[/tex] 26.75
3.5s + 5.75 - 5.75 [tex]\leq[/tex] 26.75 - 5.75
3.5s [tex]\leq[/tex] 21
s [tex]\leq[/tex] 6
Ricardo
1. A block of wood is 5 inches long, 2 inches wide, and 3 inches high. What 2 is the volume of this block of wood?
Answers
Length x width x hight = volume
4x² - 20x = -21????????
Answers
Answer:
x=7/2
x=3/2
Step-by-step explanation:
Answer: ax^2+bx+c=0
(4x^2+20x+20=0)
Step-by-step explanation:
It may not make sense but...
Add -20 to both sides of the equation.
4x-20x=-20
Add -20 to both sides of the equation.
4x^2-20x+20=-20+20
Simplify the expression.
4x^2+20x+20=0
I hope this was what you were looking for. :) If not I'm still glad to help.
Help me plz I’ll give brainliest and this also worth 25 points
Answers
Answer:
there r more students who way 60-69 kilograms and there r less students who way 90-100 kilograms
Step-by-step explanation:
BROO PLS SOMEONE HELP IM SO CONFUSED
The start of an arithmetic sequence is shown below.
Work out the nth term
Work out the 30th term in this sequence.
4 - 13 - 22 - 31
Answers
The 30th term of the arithmetic sequence is 265
What is an arithmetic sequence in math?
Arithmetic sequences are those in which each term is increased by the addition or subtraction of a constant k. In contrast to a geometric sequence, where each term rises by being multiplied by or divided by a constant k,A series of numbers is considered to be an arithmetic progression or sequence if there is a constant difference between the terms. Consider the mathematical progression with a common difference of 2 in the numbers 5, 7, 9, 11, 13, and so on.An is equal to a1 + d(n - 1), where d is the common difference across terms in the series, and a1 is the first term in the sequence.This is an arithmetic sequence since there is a common difference between each term. In this case, adding 9 to the previous term in the sequence gives the next term. In other words, [tex]a_{n}[/tex]= [tex]a_{1}[/tex]+ d ( n - 1 )
Arithmetic Sequence: d = 9
This is the formula of an arithmetic sequence.
[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + d ( n - 1 )
Substitute in the values of [tex]a_{1}[/tex] = 4 and d = 9
[tex]a_{n}[/tex]= 4 + 9 ( n - 1 )
[tex]a_{n}[/tex]= 4 + 9n - 9
[tex]a_{n}[/tex] = 9n - 5
.30th term = [tex]a_{n}[/tex] = [tex]a_{1}[/tex]+ d ( n - 1 )
= [tex]a_{30}[/tex]= 4 + 9 ( 30 -1 )
[tex]a_{30}[/tex]= 4 + 9 x 29
[tex]a_{30}[/tex]= 265
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Classify each transformation by its properties.
Answers
The classification of the transformations based on the properties are presented as follows;
[tex]\begin{array}{|c|c|c|} & \mathbf{Preserves \ length} & \mathbf{Does \ not \ preserve \ lengths} \\\mathbf{Preserves \ angle \ measure} & Reflection\ Rotation &Translation \ followed \ by \ dilation \\&&Dilation \ with \ K > 1\\\mathbf{Does \ not \ preserve \ angle \ meas} & & \\\end{matrix}[/tex]
What are the different transformation effects?The transformations that preserves the lengths of the original figure or pre-image and also preserves the angle measure is a rigid transformation.
Rigid transformations includes; Reflections, rotations, and translations
Transformations that preserves the angle of measure but in which the lengths of the preimage is not preserved are non-rigid transformations
Non rigid transformations includes; Dilation with a scale factor
Transformations that does not preserve the angle measure includes; Shear transformation
A translation and a dilation transformation does not preserve the lengths of the original figure.
The classification of the transformations based on their properties are therefore presented as follows;
[tex]{}[/tex] Preserves lengths Does not preserve lengths
Preserves Reflection [tex]{}[/tex] Translation followed by dilation
angle measure Rotation [tex]{}[/tex] with k > 1
[tex]{}[/tex] Dilation with k > 1
Does not
Preserve angle
measure
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Triangle ABC has a perimeter of 22cm
AB = 8cm
BC = 5cm
By calculation, deduce whether triangle ABC is a right-angled triangle
PLSSS HELPPPP
Answers
ABC is NOT a right triangle because the Pythagorean theorem fails
AC=22 - (8+5) = 22 - 13 = 9
9^2+13^2 = 81 +169=250
22^2 = 484
I need help asap please
Answers
Answer:
1)33.4096
2) 113.1
3) 268.08
4) 904.78
Step-by-step explanation:
Volume = 4/3π*r cubed
So, let's say π = 3.14
1) Radius =2
4/3*3.14 = 4.1762
4.1762*2*2*2
4.1762* 8
=33.51
2) Radius = 3
113.1
3) Radius = 4
268.08
4) Radius = 6
904.78
I hope this helps
Sorry if it's wrong, I am just 4th grade :(
Rewrite the expression (2t+6)+7t in the simplest form show your work.
Answers
Answer:
14t²+42t
Step-by-step explanation:
So you're basically going to use distributive property.
(2t+6)+7t is the same as, (2t)7t + 6(7t).
2t(7t)= 14t² and 6(7t)= 42t.
Combine the two answers and you get 14t²+42t.
14t²+42t is the simplest form you can get to.
Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.
Answers
Answer:
D
Step-by-step explanation:
Answer:
D: because the factor, fraction, decimals wont be multiply hundreadths of it specially when you add 27 so D: is my answer
Step-by-step explanation:
Does this help?
help! how do I do this??
Answers
Answer:
15 ft
Step-by-step explanation:
Using sinus law
sin(A) /a = sin(B) /b = sin(C) /c
Where smale letters indicate the sides
For this question :
(sin(90)*12)/sin(53)=15
Answer:
9.58
Step-by-step explanation:
Sin=opposite/hypotenuse
sin53=12/length of slide
Length of slide=12sin53
=9.58
Find the value of y. Write your answer in decimal form. Round your answer to the nearest whole number.
Answers
Answer:
c
Step-by-step explanation:
heres a trick it says whole number so 10 is th eonly answer that is rounded
Can I add myself on Wikipedia?
Answers
One cannot add themselves directly to Wikipedia as this can cause harm to the platform and community in a later run. As one can start adding content and details on the page based on their personal opinions.
Therefore we can say that the answer is that we cannot edit or create our own Wikipedia page, because that would be a conflict of interest ,more on this later.
But the thing which one can do is to add themselves in the line ,to list themselves on Wikipedia’s repository of articles which are out there looking for creators who can help maintain the site.
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What number must be added to the expression below to complete the square? x²-7x
O A. 7/2
O B. -7/2
O C. -49/4
O D. 49/4
Answers
Answer:
D. 49/4
Step-by-step explanation:
Complete the square by squaring half the coefficent of the x term
(-7/2)² = 49/4