Write two equivalent expressions to represent the sum of the angles of this triangle.
please help I can't remember how find the sums of a triangles angles
100 points
Answers
Answer:
Step-by-step explanation:
The 3 angles add up to 180 degrees
2y + 2y + 5y = 180
9y = 180
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
As we know, Sum of all three Angles of Triangle is equal to 180° [ by Angle sum property of triangle ]
So, the required expression is :
[tex]\qquad \tt \dashrightarrow \:5y + 2y + 2y = 180[/tex]
or
[tex]\qquad \tt \dashrightarrow \:9y = 180[/tex]
if you solve for y, you will get y = 20°
And the angles as 100°, 40° and 40°
Related Questions
If r= 3 cm, p = 2.4 cm, q = 1.8 cm, and m= 4.35 cm, what is the measure of n?
Answers
Answer:
C
Step-by-step explanation:
given the triangles are similar then the ratios of corresponding sides are in proportion, that is
[tex]\frac{LM}{PR}[/tex] = [tex]\frac{LN}{PQ}[/tex] ( substitute values )
[tex]\frac{n}{1.8}[/tex] = [tex]\frac{4.35}{3}[/tex] ( cross- m ultiply )
3n = 7.83 ( divide both sides by 3 )
n = 2.61 cm
Which expression is equivalent to the expression (1/2) to the power of 3
A 3x1/2
B 1/2+1/2+1/2
C 1/2x1/2x1/2
D3+1/2
Answers
1/2^3 is equal to 1/2 x 1/2 x 1/2
helpppppppppppp meeeeeeeeeee
Answers
Answer:
3 gallons per 4 minutes
Step-by-step explanation:
two point are given
(4 minutes, 3 gallons) and
(8 minutes, 6 gallons)
The question asks about gallons (there is an increase of 3 gallons)
per minute (there is an increase of 4 minutes)
or .75 gallons per one minute
A bicycle manufacturer is studying the reliability of one of its models. the study finds that the probability of a brake defect is 4 percent and the probability of both a brake defect and a chain defect is 1 percent. if the probability of a defect with the brakes or the chain is 6 percent, what is the probability of a chain defect? 1.5 percent 2 percent 2.5 percent 3 percent
Answers
Using Venn probabilities, it is found that there is a 0.03 = 3% probability of a chain defect.
What is a Venn probability?In a Venn probability, two non-independent events are related to each other, as are their probabilities.
The "or probability" is given by:
[tex]\rm P(A \cup B ) = P(A)+P(B)-P(A\cap B)[/tex]
In this problem, the events are:
Event A: Brake defect.
Event B: Chain defect.
For the probabilities, we have that:
The study finds that the probability of a brake defect is 4 percent, P(A) = 0.04.The probability of both a brake defect and a chain defect is 1 percent, P(A∩B) = 0.01.The probability of a defect with the brakes or the chain is 6 percent, P(A∪B) = 0.06.Substitute all the values in the formula
[tex]\rm P(A \cup B ) = P(A)+P(B)-P(A\cap B)\\\\0.06=0.04+P(B)-0.01\\\\P(B)=0.06-0.04+0.01\\\\ P(B)=0.03[/tex]
0.03 = 3% probability of a chain defect.
Hence, there is a 0.03 = 3% probability of a chain defect.
You can learn more about Venn probabilities at brainly.com/question/25698611
Answer:
D
Step-by-step explanation:
(NO LINKS PLEASE)
Wanda spun a spinner 30 times, and the results were recorded in the following tally chart.
A tally chart. Striped has 12 tally marks, solid has 9 tally marks, and dotted has 9 tally marks.
Based on the experiment, what is the probability of landing on the solid section of the spinner?
Enter your answer as a fraction, like this: 42/53
Answers
Answer:
3/10
Step-by-step explanation:
12+9+9=30
9 of those are solid
9 out of 30
simplified is 3/10
Answer: 3/10
Step-by-step explanation:
Write an equation of a line that passes through the point (4.2) and is perpendicular to the line y=1/5x -3.
Answers
Answer:
y=-5x+22
Step-by-step explanation:
write an equation for the cubic polynomial function whose graphs has zeros at 2, 3, and 5
Answers
Step-by-step explanation:
this is essentially
(x-2)(x-3)(x-5) = 0
now to find the cubic function we just expand.
the answer:
x^3 - 10x^2 +31x - 30
I want help to solve question
Answers
Answer:
Step-by-step explanation:
When we add the area of semicircle I and III of same radius, we get a cirlce.
diameter = 48 cm
r = 48/2 = 24 cm
Area of I and III = area of circle
= πr²
= 3.14 * 24 *24
= 1808.6 cm²
Figure II:
length = diameter of the bigger semicircle = 48 cm
width = diameter of the smaller circle = 14 cm
Area of rectangle (figure II) = length *width
= 48 * 14
= 672 cm²
Smaller semicircle A & B
diameter = 14 cm
r = 14/2 = 7 cm
Area of Semicircle A & B = Area of a circle
[tex]\sf = \dfrac{22}{7}*7*7\\\\ = 22*7\\\\= 154 \ cm^{2}[/tex]
Area of shaded region = area of rectangle II + area of figure I & III - area of A &B
= 672 + 1808.6 - 154
= 2326.6cm²
Calculate the perimeter of the shape below
Answers
Answer: The answer is C ≈ 18.85 meters.
Step-by-step explanation: The formula that you need is...
2 × π (pi or approximately 3.14) × r (which is the radius)
In this case, your radius is 3, so you solve by 2 × π (pi or approximately 3.14) × 3 which equals 18.8495559215 but you round to your nearest hundredth which gets you to have 18.85 meters as your answer! I hope this helps!
radius= 3 m
to find:the perimeter of the circle.
solution:[tex]perimeter = 2\pi \: r[/tex]
[tex]p = 2 \times \pi \times 3[/tex]
[tex]p = 18.84956[/tex]
[tex]p = 18.95[/tex]
A girl is 27 years younger than her mother. Her mother is m years old. The product of their ages is 324. How old is each person?
Answers
Your monthly income is $5000. After paying bills, you have spent 70% of this months income. How much did you spend on the bills? 1. $4070 2. $4200 3. $2800 4. $3500
Answers
Answer:
4. $3500
Step-by-step explanation:
Because 70% of 5000 = 3500
Hope This Helps
Diameter = 5 yards find the area of the circle in square feet
Answers
Answer:
6.25π or 19.625
Step-by-step explanation:
Diameter=2r
Area=πr^2
We need to find the radius (5/2=2.5)
Plug in 2.5 for the area forumla= π2.5^2
Solve = 6.25π
I need help with this question, please.
Answers
Wheel Diameter = Wheel 3 x Radius
10 cm / 3 = 3.3 = 3 cm
for one rotation of a wheel the distance travelled = circumfrence of the wheel
URGENT!! Please help!! I will mark brainliest!
Answers
Step-by-step explanation:
I think they are all in order already
The median rainfall during a spring storm in the lowlands is about 4 mm less than a spring storm in the highlands. The mean rainfall for the lowlands is about 3 mm less than for the highlands. Why is there a difference in the central measures for each data set?
Answers
Answer:
There is a difference because in the spring, there may be more days of rain, therefore that would increase the mean for the spring compared to the other days.
Step-by-step explanation:
Answer:
There is a difference since there could be more rainy days in the spring than on other days. As a result, the mean for the spring would be higher than on other days.
Step-by-step explanation:
Hope this helps!
Have a great day!
Which of the following has the greatest sum?
A. 1.57 + 0.23
B. 1.09 + 0.76
C. 0.98 + 0.89
D. 1.18 + 0.68
Answers
Answer:
C
Step-by-step explanation:
A - 1.57 + 0.23 = 1.80
B- 1.09 + 0.76 = 1.85
C- 0.98 + 0.89 = 1.87
D - 1.18 + 0.68 = 1.86
C has the greater sum
The record low temp in Fargo, ND is -37*F. The record high is 109*F. What is the difference in the record high and the record low temperatures?
Answers
Answer:
109 - -37 = 146
Step-by-step explanation:
since you are subtracting a negative, the negative number and the sign cancel each other out. So all you have to do is add.
Find the slope of the line that passes through (3, 6) and (10, 9).
Answers
Answer:
The slope is 3/7.Step-by-step explanation:
Use the slope formula.
Slope formula:
[tex]\Longrightarrow: \sf{\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{RISE}{RUN} }[/tex]
[tex]\sf{y_2=9}\\\\\sf{y_1=6}\\\\\sf{x_2=10}\\\\\sf{x_1=3}[/tex]
Solution: Rewrite it down.
[tex]\sf{\dfrac{9-6}{10-3}=\boxed{\sf{\dfrac{3}{7}}}[/tex]
Therefore, the slope is 3/7, which is the correct answer.I hope this helps! Let me know if you have any questions.
can anyone help me with this I don't know the answer?
Answers
Explanation: 5 x 2 = 10 x 2 = 20
9-5= 4 x 7 = 28 +20 =48
Bob, an employee at Kohl’s, gets a 30% discount on anything at the store. If he buys a pair of pants that are originally $45.87, how much will they cost with his discount?
Answers
This rounds to $32.11
PLEASE HELP ME OUT 39 POINTS
Answers
Answer:
Option A for part (a) and Option B for part (b)
Step-by-step explanation:
Step 1: Determine the ratios in part a
First Batch --> 8 minutes / 2 customers = 4 minutes per customer
Second Batch --> 18 minutes / 6 customers = 3 minutes per customer
Third Batch --> 21 minutes / 7 customers = 3 minutes per customer
In part (a) we would choose option a which is that it does not always take the same amount of time to serve each customer.
Step 2: Determine the ratios in part b
First Batch --> 27 points / 3 dollars = 9 points per dollar
Second Batch --> 45 points / 5 dollars = 9 points per dollar
Third Batch --> 63 points / 7 dollars = 9 points per dollar
In part(b) would choose option b which is that each dollar spent appears to earn the same number of points which would give us 8 dollars for 72 points.
Answer: Option A for part (a) and Option B for part (b)
Find the lowest common denominator for these fractions and then subtract and simplify.
4/9 and 1/3
1/9
2/9
3/9
Answers
Answer:
1/9
Step-by-step explanation:
SOMEONE HELPPPP!
What is the volume of this oblique cone?
o 288TT cm
o 324T1 cm
o 14417 cm
o 432TT cm
Answers
Answer:
432 pi cm^3
Step-by-step explanation:
volume = 1/3 pi * r^2 h
= 1/3 pi (81)(16) = 432 pi cm^3
1. Find the slope
(1 point)
2
-1/2
-2
1/2
Answers
Answer:
-2
Step-by-step explanation:
you look at the y axis and that is where you start it goes 2 down and 1 to the right
Answer:
C. -2
Step-by-step explanation:
Using the two points on the graph, apply the slope formula.
(y₂ - y₁)/(x₂ - x₁)
The points given are (-3, 3) and (1, -5).
(-5 - 3)/(1 - (-3))
Simplify.
-8/4
Divide.
-2.
2. Barry has a cell phone plan that charges him a monthly fee for unlimited minutes for talking, but charges a small
fee for each text message he sends. The graph shows the monthly cost for the phone based on how many text
messages he sends.
42.5
40
37.5
Cost per Month ($)
35
32.5
30
SI
ASE
27.5
40
50
60
70
80
90
100
za babu asd ng boto to
0 10 20 30
Text Messages Sent
What does the y-intercept of this graph represent?
02.0
A. The cost for the cell phone plan with 100 text messages sent.
B. The monthly fee for the cell phone plan.
C. The cost for each text message.
D. The total cost each month.
That is the value for the v-intercent2
Answers
The y-intercept of this graph considering the cell phone plan of Barry represent D. The total cost each month.
What is the y-intercept?It should be noted that a y-intercept simply means where the line intersects the y axis.
The y-intercept of this graph considering the cell phone plan of Barry represent the total cost each month. This can be illustrated by y = mx + b.
Learn more about intercept on:
https://brainly.com/question/15558882
Calculate the volume of each of the following prisms.
1)
length = 35
width = 14
height = 24
2)
length = 27
width = 14
height = 21
3)
length = 21
width = 21
Height = 21
Answers
Answer:
1) 11760
2) 7938
3) 9261
Step-by-step explanation:
hope this helps
What is the perimeter of a 5 by 12 triangale
Answers
Answer:
30 units
Step-by-step explanation:
IF it is a right triangle AND these are the LEGS then the hypotenuse = 13
5+12 + 13 = 30
Calculate the circumstances of the shape below
Answers
Answer:
[tex]c = 2\pi r \ \\ 2 \times \pi \times 3 \\ = 6\pi[/tex]
20 cm
16 cm
10 cm
12 cm
V=
help quick please
Answers
Answer:
960 cm^3
Step-by-step explanation:
The volume of any object is found by multiplying the area of the base times the height. I'll use the triangular sides as the base in this case. The area of the triangle is (bh)/2, so this calculation is:
(16x12)/2 = 96
The height is 10, so Volume is 96 x 10 = 960 cm^3
How many terms are in the expression below:
3x - 6 + 4b + 5 + 7 - 2x
Answers
Step-by-step explanation:
Given: 3x - 6 + 4b+ 5 + 7 -2x
x - 6 + 4b + 12
x +6 + 4b