An animal pen is in the shape of a triangle. One of the interior angles of the triangle is 60°. The measures of the other interior angles are in the ratio 1 ∶ 7. What are the measures of the other interior angles?
Answers
Answer:
The measures of the other interior angles are 15° and 105°
Step-by-step explanation:
The given parameter of the measures of the interior angles of the triangle are;
The measure of one of the interior angle of the triangle = 60°
The ratio of the measure of the other interior angles = 1 : 7
Let the x represent one of the other interior angles and y represent the third interior angle, we have;
x + y = 180 - 60 = 120
x : y = 1 : 7
x = 1 part of 8 parts of 120°
y = 7 parts of 8 parts of 120°
Therefore;
x = 1/(1 + 7) × 120 = 1/8 × 120° = 15°
x = 15°
y = 7/(1 + 7) = 7/8 × 120° = 105°
y = 105°
The measures of the other interior angles are 15° and 105°.
Related Questions
Mai bought a television for $325. The tax rate is 8%. Which proportion can be used to find the amount of tax Mai will pay? A.8/325=x/100 B.8/325=100/x C.8/100=325/3 D.8/100=x/325
Zakary ate 34 hot dogs. jerald ate 30 times as much as zakary did. how many hot dogs did jerald eat?
How do I solve this?
Pls helppppp 25 pt and brainiest for whoever answers it right. Find the longest side of a parallelogram with a perimeter of 66ft., If the sides measure 3x + 1 and 2x - 3.
Answers
The required set of ordered pairs are (0, 1), (1, 3), (2, 9), (3, 27). The correct option is (D).
What is an exponential function?
An exponential function can be represented as y = aˣ. When x = 0, y = a⁰ = 1. The range of an exponential function is from zero to infinity for a > 0.
It is clear from the given options that, only options (B) and (D) satisfies the general expression y = aˣ at x = 0.
Now, both these options can be examined one by one as follows,
Option (B),
The ordered pairs are given as (0, 1), (1, 2), (2, 5), (3, 10).
Substitute the values in the general expression y = aˣ, first two pair are satisfied for a = 2 but the remaining two are not.
Option (D),
The ordered pairs are given as (0, 1), (1, 3), (2, 9), (3, 27).
Substitute the values in the general expression y = aˣ, all the pairs are satisfied for a = 3.
Thus, the correct option is found.
Hence, the set of ordered pairs which could be generated by an exponential function are (0, 1), (1, 3), (2, 9), (3, 27).
To know more about exponential function click on,
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Answer:
C is the answer
Step-by-step explanation:
If you graph them on a line the outcome will be a straight line making it functional and a proportion
10 students(correct answer)?
12 students
16 students
Answers
Working
5/11 * 22 =10
Answer: 10 students
Step-by-step explanation:
half 22 is 11 - 1 = 10
Answers
so you know 30 % is the same so then do
0.1 and that is 1/10 and that is also 10/100
also there is 1/100 is out of 100 %
so that means that 0.1 is 10 %
and 1/5 is the same as 2/10 and the same as 20/100 also the same as 20%
so the oder is 0.1 , 1/5 , 30%
I hope this helps. If doesn't please tell me :)
Answers
a(b+c)=ab+ac
reverse
ab+ac=a(b+c)
find a which is GCF
factor them and group
80x=2*2*2*2*5*x
30=2*3*5
GCF=2*5=10
a=10
80x+30=10(8x)+10(3)=10(8x+3)
80+30=110*
110(x)
30-110-80(x)
80-30=50-110=(x)+110+30+50/(x)
X has no solution
Answers
then we make a proportion and solve 99.99 multiply by 100 and divide by 35,
then we get the original price $285,7
maybe I have a mistake)
Answers
The formula becomes w = (200P - 20)/3.
What is Equivalent Equation?
- The mathematical equations which give the same value when solved.
- These equations can be interchanged into one another.
- They are very useful in solving mathematical problems.
Given: Formula
P = (3w + 20)/200
Now, we will convert this in the form of P.
⇒ P = (3w + 20)/200
multiply both sides by 200, we get:
⇒ 200 P = 3w + 20
⇒ 200P - 20 = 3w
⇒ w = (200P - 20)/3
Therefore, the formula after making w as the subject becomes:
w = (200P - 20)/3
Learn more about the Equivalent Equations here: brainly.com/question/4348710
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Answer:
Step-by-step explanation:
I assume the correct formula is
P = (3w + 20)/200
Solve for w.
200P = 3w + 20
200P - 20 = 3w
(200P - 20)/3 = w