Answer:
y<7
Step-by-step explanation:
3y-10 < 11 add 10 to both sides of the equation
3y < 21 divide by 3
y < 7
PLEASE ANSWER! WILL GIVE BRAINLIEST!
The horizontal lines (l and m) are parallel. They are crossed by two transversals (lines a and b).
Transversals a and b intersect to make a triangle. The m∠1 = 75°, and the m∠4 = 50°.
1. What is the m∠5? Explain how you know. (2 points)
2. What is the measure of the sum of the angles in a triangle? (2 points)
3. ∠3 is in a triangle with ∠4 and ∠5. Write and solve an equation to find the m∠3. (2 points)
4. What is the measure of a straight angle? (2 points)
5. ∠2 is in a straight line with ∠1 and ∠3. Write and solve an equation to find the m∠2. (2 points)
1. m∠5 = 75° (corresponding angles theorem)
2. Sum of angles in a triangle = 180°
3. m∠3 = 55°
4. Straight line angle = 180°
5. m∠2 = 50°
What is the Corresponding Angles Theorem?If two corresponding angles are formed when a transversal intersect parallel lines, they are both congruent based on the corresponding angles theorem.
1. m∠5 = m∠1 (corresponding angles theorem)
m∠5 = 75°
2. Sum of angles in a triangle = 180°
3. m∠3 + m∠4 + m∠5 = 180° (sum of triangle)
Substitute
m∠3 = 180 - 50 - 75 = 55°
4. Straight line angle = 180°
5. m∠2 = 180 - m∠3 + m∠1 (straight line angle)
m∠2 = 180 - 55 - 75
m∠2 = 50°
Learn more about corresponding angles theorem on:
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Find the Volume.
9- in
in
2 in
1
3 in
Step-by-step explanation:
Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height.
[tex]3 \frac{1}{2} \times 2 \times 9 \frac{1}{3} \\ = 45.5556[/tex]
mark it Brainiest please
Please help me with this! 30 POINTS!
Answer:
B) -2⅛
Step-by-step explanation:
All other options are irrational
Which expression is equivalent to the following complex fraction?
Answer:
[tex]\frac{2y-1}{3y+1}[/tex]
Step-by-step explanation:
[tex]\frac{2-\frac{1}{y} }{3+\frac{1}{y} }[/tex] ( multiply numerator and denominator by y to clear the fractions )
[tex]\frac{2-\frac{1}{y} }{3+\frac{1}{y} }[/tex] × [tex]\frac{y}{y}[/tex]
= [tex]\frac{2y-1}{3y+1}[/tex]
Jody is buying a scrapbook and sheets of designer paper. She has
$40 and needs at least $18.25 to buy the scrapbook. Each sheet of
paper costs $0.34.
How many sheets of paper can she buy?
Answer:
Step-by-step explanation:
$40 - $18.25 = $21.75
she has $21.75 to buy the paper with
21.75 divided by 0.34 is 63.971...
this means she only has enough money to buy 63 sheets of paper
leaving her with only 33 cents
Combine the like terms to create an equivalent expression
Answer:
y is the same as 1y. so 9y + 1y = 10y
Answer:
Step-by-step explanation:
Like terms have same variable with same power.
If so, just combine the coefficient of the variables.
9y + y = (9 + 1)y
= 10y
Financial algebra -
Charles is 45 years old, and makes $40,000 per year. If he were to die, how
much would the beneficiaries of his life insurance policy receive if they can
get by on 60% of his income?
Answer: The Beneficiaries will get 24,000 dollars in total
Step-by-step explanation:
1.) Step one is you would have to divide 40,000 by 60 because that will be how much they would get
2,) Step two is box you answer
NEED HELP ASAP WILL MARK BRAINLEST!!
Does it tell you to make up your own problem situation or to choose from, if it asks you to choose from the provided then you didnt send the screenshot properly send it again and I will help you answer it but in case it asked you to make upyour own problem situation heres the answer:
Step-by-step explanation:
John has built houses on 59.48 acres of land, his dad had given him 300 acres of land before passing, john plans on building a lot more houses this year. X is the amount of acres of land he will use to build the house in addition to the 59.48 acres of land already used to build houses previously, combined they can equal a maximum of 300 acres because thats all he has.
PLEASE HELP ME!!! 20 points!
Answer: C
Step-by-step explanation:
hope this helps
the final price of a book is $27 dollars. An 8% sales tax was added to the original price, then you used a coupon for 50% off. What was the original price of the book?
Answer:
14.58
Step-by-step explanation:
x\27 = 54/100 cross multiply then divide by 100% x=Original price
so then you'll get 14.58
A train travels 71 km in 28 minutes. what is its speed in kilometers per hour? 
Spinner has 7 pieces, 1 black, 2 gray, 4 white, what is the probability that I would land on a gray piece?
Answer:
2/7
Step-by-step explanation:
there are 2 gray prices out of 7
The dimensions of Mr.Tai's living room are 10 feet x 18 feet x 8 feet, and the dimensions of his family room are 14 feet x 20 feet x 8 feet. What is the total volume, in cubic feet, of the 2 rooms?
{I might not need help but i want to see ur answers :)}
Answer:
3,680 cubic feet
Step-by-step explanation:
whats the lcm for 5678
Answer:
28390
Step-by-step explanation:
If you take 10*5678=28390
Answer:
840.
Step-by-step explanation:
LCM of 5 6 7 and 8,
Write out the prime factors of each number.
5 = 5
6 = 2*3
7 = 7
b = 2*2*2
So the LCM = 2*2*2*3*5*7
= 840.
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP when u answwer dont come bck tho
Answer:
i belive it is c. -5.4
Step-by-step explanation:
because as the temperature increases in the negative zone you are also decreasing the momentary value of that number so -3.4 is greater than -5.4 (facts)
please help me find DE
You can split up the length of AE into the lengths of the line segments connecting adjacent points:
AE = AB + BC + CD + DE
Plug in everything you know and solve for DE :
9 = (2 1/2) + (4 1/3) + (1 2/3) + DE
Rewrite the mixed numbers as improper fractions with a common denominator.
2 1/2 = 4/2 + 1/2 = 5/2 = 15/6
4 1/3 = 12/3 + 1/3 = 13/3 = 26/6
1 2/3 = 3/3 + 2/3 = 5/3 = 10/6
9 = 54/6
So we have
54/6 = 15/6 + 26/6 + 10/6 + DE
⇒ DE = (54 - 15 - 26 - 10)/6 = 3/6 = 1/2
(It looks as though you will need to enter 1 in the top box and 2 in the bottom one)
Help help help help math math
Answer: -4
Step-by-step explanation:
[tex]\frac{a}{4} +3=2[/tex]
Start by subtracting 3 from both sides
[tex]\frac{a}{4} +3=2\\\frac{a}{4} +3-3=2-3\\\frac{a}{4} =-1[/tex]
Now multiply each side by 4
[tex]\frac{a}{4} =-1\\\frac{a}{4}(4) =-1(4)\\a =-4\\[/tex]
If the point (-1.9, -2) is reflected across the x-axis, which quadrant will it be in?
Answer: im pretty sure it would be in the 2nd quadrant. cause its -1.9, -2 so that i think is in 3rd quadrant so reflected woud be in 2nd quadrant
hope this makes sense
Answer:
Quadrant 1
The since both of the coordinates are negative, they'll take place in Quadrant 3, so if it was the opposite (mirrored), they would both be positive making them be in Quadrant 1.
A recipe for potato salad calls for 3/4 cup of Mayo for 5 servings. How many cups of Mayo are neeed for 30 servings of potato salad?
Answer:
[tex]\frac{9}{2}[/tex]
Step-by-step explanation:
cup of mayo used for 5 servings = [tex]\frac{3}{4}[/tex]
cup of mayo used for 1 servings = [tex]\frac{3}{4}*\frac{1}{5}=\frac{3}{20}[/tex]
cup of mayo needed for 30 servings= [tex]\frac{3}{20}*30=\frac{9}{2}[/tex]
Use a ruler and a protractor to determine
whether or not it is possible to draw a
triangle with a 75° angle, a 115° angle, and a
side of 4 inches between the two angles. If
so, draw the triangle. If not, explain why.
Answer:
It is not possible.
Step-by-step explanation:
The triangle is impossible to create because of the Triangle Angle Sum Therom, which states that all 3 angles in a triangle must = 180 degrees. As they haven given us 75 degrees, and 115 degrees 75+115=190 Which is more then 180, Hence it is not possible.
In centimeters, what is the unknown length in this right triangle?
A right triangle with side length 60 centimeters, x, and hypotenuse of 61 centimeters.
Answer:
Given:-Side length ( perpendicular = 60 cm)
Hypotenuse = 61 cm
To find :-Base length
Solution:By Pythagoras theorem ,
Hypotenuse² = Perpendicular² + Base²
61² = 60² + base²
3721-3600 = Base²
√121 = base
11cm = base
Answer:
Base = x = 11 cmStep-by-step explanation:
In the question we are given ,
Side length ( Perpendicular ) = 60 cm Hypotenuse = 61 cmAnd we have asked to find the length of base that is denoted by x .
Solution : -
According to Pythagoras Theorem ,
[tex] \longrightarrow \purple{\boxed{H {}^{2} = P {}^{2} + B {}^{2} }} \longleftarrow[/tex]
Where ,
H = HypotenuseP = PerpendicularB = BaseNow , substituting value of hypotenuse, perpendicular and base :
[tex] \hookrightarrow \: 61 {}^{2} = 60 {}^{2} + x {}^{2} [/tex]
Now by squaring 61 and 60 , we get :
[tex] \hookrightarrow \:3721 = 3600 + x {}^{2} [/tex]
Now transposing 3600 to left hand side :
[tex] \hookrightarrow \:3721 - 3600 = x {}^{2} [/tex]
Now subtracting 3600 from 3721 :
[tex] \hookrightarrow \:121 = x {}^{2} [/tex]
[tex] \hookrightarrow \: \sqrt{121} = x[/tex]
We know that 11 × 11 is equal to 121 that means square root of 121 is 11 . So :
[tex] \hookrightarrow \: \red{ \boxed{11 \: cm = x}}[/tex]
x = baseHenceforth, length of base of right triangle is 11 cm .#Keep LearningSolve 4\left| {x + 5} \right| + 8 = 244∣x+5∣+8=24.
Isolate the absolute value term:
4 |x + 5| + 8 = 24
4 |x + 5| = 16
|x + 5| = 4
By definition of absolute value,
• if x + 5 ≥ 0, then |x + 5| = x + 5, and so
x + 5 = 4
x = -1
• otherwise, if x + 5 < 0, then |x + 5| = -(x + 5), and so
-x - 5 = 4
-x = 9
x = -9
sin(α)=725 sin ( α ) = 7 25 and α is in quadrant II and cos(β)=8/7
Answer:
sin (α )= 72 5sin (α) = 725
Step-by-step explanation:
Fifty is a composite number. Use
a factor tree to find the prime
factorization of 50.
Answer:
2*5*5
Step-by-step explanation:
50 ---> 25 * 2
25 = 5*5
50 = 2*5*5
Hope this helps :)
Have a nice day!
5x+2y=-3
-3x-y=2
Use determinant method and Gauss Jordan Elimination method to solve the systems of linear equation.
please with working out
In circle XX, m\angle YXZ=100^\circ∠YXZ=100
∘
and the length of \overset{\LARGE\frown}{YZ} = 5\pi
YZ
⌢
=5π. Find the length of \overline{XY}
XY
delta math
The length XY of the circle X is the radius of the circle
The length of XY is 9 units
How to determine the length of XY?The parameters are given as:
Length of arc, YZ = 5πCentral angle, YXZ = 100°The length of arc is calculated using:
L = Ф/360 * 2πr
Where:
L = YZ = 5πФ = YXZ = 100°Radius, r = XYSo, we have:
5π = 100/360 * 2πr
Evaluate the quotient
5π = 5/9 * πr
Divide both sides by 5π
1 = 1/9 * r
Multiply both sides by 9
r = 9
This means that
XY = r = 9
Hence, the length of XY is 9 units
Read more about arc lengths at:
https://brainly.com/question/23865630
Giving brainliest to who can help!
Answer:
BELOW
Step-by-step explanation:
OK so AC is 18, since both of those sections are 9, and 9+9=18.
But for AG im kind of stuck. At first I thought it was 11 but then just by looking at it you can see that they aren't the same length(I mean AG and GC) so I don't know about that one.
heres what I THINK it could be
GF and GD COULD BE the same length, considering that this is a 3d shape.
So, since AGF is a right triangle, we can use pythagorem. theorem.
7^2+9^2=x^2
49+81=x^2
130=x^2
x==11.40
MAYBE AG=11.40.
i tried my best sorry
find the least perfect square that is exactly divisible by each of the numbers 5 , 18 , 25 and 27 .
In other words , the LCM of 5 , 18 , 25 and 27 can be made a perfect square if it is multiplied by 2 × 3 .
The least perfect square greater that the LCM ,
☞︎︎︎ 2 × 3³ × 5² × 2 × 3
☞︎︎︎ 2² × 3⁴ × 5²
☞︎︎︎ 4 × 81 × 85
☞︎︎︎ 100 × 81
☞︎︎︎ 8100
8100 is the least perfect square which is exactly divisible by each of the numbers 5 , 18 , 25 , 27 .
Find the measures of the angles in each triangle.
Answer:
55°
Step-by-step explanation:
so,area of a triangle is equal to 180°which means:(x-2)° + x° + 72° =180°take 72° to the other side and it will be negative(x-2)°+x°=180°-72°=108x-2+x=108x+x=1102x=110x=55I hope that helps
How many pounds is 3/12 and 1/12?
Answer:
Step-by-step explanation:
Remark
This is just a matter of adding 2 fractions and reducing the result
Givens
f1 = 3/12
f2 = 1/12
Equation
Answer = f1 + f2
Solution
answer = 3/12 + 1/12
The denominators are the same. The answer will have the same denominator
Answer = (3 + 1)/12
Answer = 4 / 12
The answer has a common factor in both the top and bottom of the fraction (4 is the common factor).
Therefore divide the top and bottom by 4
Answer = 4/4 // 12/4
Answer = 1 / 3