Practice: Find the value of the variable(s) in each figure explain your reasoning.
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Answer:
I'm assuming you know how to solve first degree equations, in particular how to move terms from one side to the other.
Top figure. The two angles measuring 3x and 5x-20 are congruent (they are alternate angles related to the two parallels and the transversal closing the triangle.. Now, if 3x = 5x-20 a simple solution is x=10. Now into the triangle, the sum of the internal angles has to be 180, and we already know how much x measures. 2y+4y+30 =180. Solve for y =25
Middle figure. From the bottom right corner, you can already tell that 2y+106= 180, or y=37. But 2y and x are congruent (corresponding angles), so x= 74. Pick the method you prefer to say that either 4z+6=106 (both angles are congruent to the one in the bottom corner since they're corresponding, thus they have to be equal to each other) OR 4z+6+x = 180 (they're conjugate angles to x, so their sum is 180). To get z=25
Bottom row in both cases, the two angles sum up to 90°
Left one: 4x-20+2x-16 = 90 so x = 21
Right one: 2x-30 +x+15= 90 so x = 35
Related Questions
Please 10 points for one question
Please don’t answer if you don’t know
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Answer:
answer is 60° hope it will help you
How do I factor . X2 { squared } -9x+28?
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What is the square of the sum of five and a number diminished by 6?
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Step-by-step explanation:
A number diminished by 6:
n - 6Sum of 5 and a number diminished by 6:
5 + n - 6 = n - 1The square of the sum of five and a number diminished by 6:
(n - 1)² =n² - 2n + 1Does the table below represent a direct variation? Explain how you can tell.
x y
-2 -10
-1 -8
0 -6
1 -4
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A particular variety of bamboo grows for
4
months out of the year at a rate of
3
inches per day. The rest of the year, the bamboo is dormant and does not grow.
A graph of the growth for a
12
-month period is shown.
What is the domain of the function that models this phenomenon?
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Using function concepts, it is found that the domain of the function that model this phenomenon is [0, 12].
The domain of a function is the set that contains all possible input values.
In this problem, the function is the height of the bamboo according to the month of the year, hence, the input is the month of the year, which has values between 0 and 12, and thus, the domain of the function that model this phenomenon is [0, 12].
A similar problem is given at https://brainly.com/question/10891721
what is 4x(1+8x) Distributed
Answers
Answer:
4x + 32x²
Step-by-step explanation:
4x(1 + 8x) ← multiply each term in the parenthesis by 4x
= 4x + 32x²
How do you evaluate (x+3)2 ?
Answers
Step-by-step explanation:
[tex]x = 1[/tex]
[tex] [/tex]
HOPE It Helps it;D
Answer:
2 • (x + 3)
Step-by-step explanation:
Drake bought a $110,000 life insurance policy at $12.95 for a 20 year term.
What will he pay over 20 years for the premium?
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Drake will pay $28,490 over 20 years for the premium.
Data and Calculations:
Life insurance policy = $110,000
Insurance term = 20 years
Premium rate = $12.95 per $1,000
Total premium per year = $1,424.50 ($12.95 x $110,000/$1,000)
Total premium for 20 years = $28,490 ($12.95 x $110,000/$1,000 x 20)
Thus, Drake will pay a total premium of $28,490 for 20 years.
Learn more: https://brainly.com/question/3164505
Which statements must be true regarding the two triangles? Check all that apply.
∠M ≅ ∠M''
△LMN ~ △L''M''N''
△LMN ≅ △L''M''N''
The coordinates of vertex L'' are (-3, 1.5).
The coordinates of vertex N'' are (3, -1.5).
The coordinates of vertex M'' are (1.5, -1.5).
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Answer: 1, 2, & 5.
Step-by-step explanation:
1) ∠M ≅ ∠M''
2)△LMN ~ △L''M''N''
5)The coordinates of vertex N'' are (3, -1.5).
Please help this is my last points
Answer with explanation please
Please I need it now
Answers
Answer:
im going to guess cause i barely see 120
Step-by-step explanation:
Answer:
Three sets of supplementary angles
1 & 4 = 180º
2 & 5 = 180º
3 & 6 = 180º
Total = 540º
Sum of angles in triangle = 180º
Therefor sum of exteriort angles
540 - 180 = 360º
Tim earns spending money by doing odd jobs for his neighbors. The table shows how much he is paid
for each job. Tim gets $12 for mowing lawns, $9 for washing cars, and $7 for walking dogs. Mr. Jeffries has not paid his bill in 3 weeks. If Tim performed each job for Mr. Jeffries
once, how much does Mr. Jeffries owe Tim? Write an addition equation using integers to represent the
situation. Represent Mr. Jeffries' balance as an integer.
Select the correct choice below and fill in the answer boxes to complete your choice.
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Answer:
D ($28)
Step-by-step explanation:
-12 + -9 + -7 = -28
dont know the answer pls help :(
Answers
Answer:
x=3
Step-by-step explanation:
7x-3=18
7x=18+3
7x=21
x=3
Given that I = PTR/ 100 , make T the subject of the formula.
Answers
Step-by-step explanation:
I=PTR/100
cross multiply to get 100I= PTR
Put 100I/PR and PTR/PR
HENCE u get 100I/PR=T
THIS is because the PR cancelled from PRT to remain with T
A recipe calls for 1/2 cup sugar and 1 cup flour. How much flour will you need if you use 3/4 cup of sugar?
Answers
Answer:
1 1/2 cups
Step-by-step explanation:
3/4 is 1 1/2 of 1/2, and 1 1/2 is 1/2 of 1
Answer:
1.5 cups of sugar
Step-by-step explanation:
3/4 divided by 1/2 is 1.5
i will mark brainliest!!!!!!
Answers
Answer:
k=10x+6
Step-by-step explanation:
64 is equal to 2^6, so we just have 2^6*4^5k
4^5x is equal to 2^10x and we have 2^6*2^10x=2^k
Apply exponent multiplication rule : a^m*a^n=a^m+n
We get 2^10x+6, so 10x+6 is our answer
what is the answer???????
Answers
Answer:
1) 1(1/32)
2) 1.8
Step-by-step explanation:
2(3/4)=11/4
2(2/3)= 8/3
(11/4)/(8/3)=33/32
33/32= 1(1/32)
1(4/5)=9/5
9/5=1.8
Whats the value of 6 in 1.267
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Answer:
hundredths place
Step-by-step explanation:
(A) Find the dimensions of the rectangle with area 324 square inches that has minimum perimeter, and then find the minimum perimeter.
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A = L*w
324 = L*w
324/w = L
P = 2*( L + w)
= 2 * ( 324/w + w)
= 648/w + 2w
= (648 + 2w^2)/w
Given a 45-45-90 triangle with the hypotenuse measuring 5√7 feet. Which is the exact measure of each leg?
Answers
Answer:
Step-by-step explanation:
First, we know a 45-45-90 triangle has two legs that are the same because two angles are the same, so we can say that:
[tex]$a^2+b^2=c^2=a^2+a^2=c^2$[/tex]
Remember that [tex]a^2[/tex] and [tex]a^2[/tex] are the legs, which are the same length, so we can do this. Now, we solve the equation.
[tex]a^2+a^2=c^2\\2a^2=5\sqrt{7}\\2a=(5\sqrt{7})^2\\2a=5\\a=\frac{5}{2}[/tex]
HOPE THIS HELPS :D
The Pythagoras is the sum of the square of two sides equal to the square of the longest side. Then the exact measure of each leg is 9.4 ft.
What is a right-angle triangle?It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.
A right-angle 45-45-90 triangle with the hypotenuse measuring 5√7 feet.
We know that if two angles of any triangle are the same then their opposite sides are also the same.
Let each side length of x ft. Then by the Pythagoras theorem. we have
[tex]\begin{aligned} x^2 + x^2 &= (5\sqrt7)^2\\\\2x^2 &= 25 \times 7\\\\x^2 &= \dfrac{175}{2}\\\\x^2 &= 87.5\\\\x &= 9.354 \approx 9.4 \ \rm ft \end{aligned}[/tex]
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
Helppppppppppppppppppppp I need this ASAP
Answers
216+5( 8+1/5) Please i need it asap ty!
Answers
216+41
257
Please brainlyest
Answer:
257
Step-by-step explanation:
216 + (5 x(8 + 1/5)
The marked price of a woolen sweater is Rs 1750
. If the shopkeeper allows 20 %
discount and makes a profit of Rs 150, at what price did he purchase the sweater?
Answers
The marked price of a woolen sweater is Rs 1,750. If the shopkeeper allows 20 %
discount and makes a profit of Rs 150, at what price did he purchase the sweater?
The marked price of a calculator is Rs 1,800. The shopkeeper allows 10 %
b)
17
The school is 3.65 miles from Tonya house and 1.28 miles from Jamals house. How can you use a quick picture to solve this problem.
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Answer:
more info so i can help
Step-by-step explanation:
please
Sketch the graph of each line by identifying the x-and y-intercepts.
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And goes all the way from -inf to +inf of the x-axis and doesn’t intersect with x-axis
Frank practised for 4 hours and 35 minutes. If he stopped practising at 9:17 p.m, what time did he start practising?
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4:42 p.m
You start with 9:17 and you subtract 4 hours. That gives you 5:17. Now you have to subtract the remaining 35 minutes. To make things easy we can make 5:17, five o-clock. We can do this by subtracting 17 then you'll get five o-clock. Now you have another 28 minutes to subtract. 5:00 - 28 = 4:42. Then you add the p.m.
A town’s population of children increased from 376 to 421 during the past year.
Which equation shows how to find the percent increase?
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Answer:
percentage change divided by real value, *100.
421-376 = 45
45/421 = approx. 0.10688361
*100 = 10.6%
Step-by-step explanation:
WILL GIVE BRAINLEST!!! A rational expression has been simplified below
(x-2)(x+6) X-2
7(x+6)
*=2
For what values of xare the two expressions equal?
Answers
Answer:
You're answer is B. All answers except -6
Step-by-step explanation:
did the test
. A man bought a car for $60 800. After one year, it was worth $51 680. What is its depreciation as a percentage of the selling price?
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Answer:
c 3
Step-by-step explanation:
= -50880/800 = -318/5 x 20/20
= -6360/100
= -6360%
BOWLING A bowling alley charges a flat fee to rent shoes. There is an additional fee for each game played. The function y=2.5x+3
represents the cost y of bowling x games. Interpret the parameters of the function.
Answers
x-2y > -8
x + y >1
A. (-5,3)
B. (0,5)
C. (3,-5)
D. (4,0)
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Answer:
A. (-5,3)
Honestly, that is pretty much it and uh.Yeah
