Answer:
If I know what diagram you're referring to, which I believe I do, the answer is: ∠1=(1/2)[106°-36°]=35°
Answer:
D) 40 miles
Step-by-step explanation:
First we must find the distance between the mall and the house. The figure formed is a right triangle. The length of the side from the mall to the house forms the hypotenuse of the triangle. We can use the Pythagorean theorem to find the length:
a² + b² = c²
The two legs of the triangle, a and b, are 15 and 8:
15² + 8² = c²
225 + 64 = c²
289 = c²
Take the square root of each side:
√289 = √(c²)
17 = c
This makes the total distance
15+8+17= 40 miles
Answer:
<h2><em><u>28</u></em></h2>
Step-by-step explanation:
<em><u>First</u></em><em><u>,</u></em>
7 times 8 = 7 × 8 = 56
<em><u>Then</u></em><em><u>,</u></em>
The product divided by 2 = 56 ÷ 2 = 28
<em><u>Hence</u></em><em><u>,</u></em>
<em><u>The</u></em><em><u> </u></em><em><u>required</u></em><em><u> </u></em><em><u>answer</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>28</u></em>
Given :
Challenge given is to volunteer for about 1 1/2 hours per week .
Autum did at a rate of 6 3/4 hours per week .
To Find :
The comparison ( ratio ) her volunteers rate with the challenge rate .
Solution :
Simplifying challenge rate in in normal fraction , .
Also , simplifying her rate , .
Now , ratio of his work by challenge is :
Therefore , the ratio is 9/2 or 4 1/2 .
Hence , this is the required solution .
I will go about solving this using the elimination method.
First, convert the equations.
10x + y = -20
4x + y = -12
Second, find the easiest variable to get rid of and get rid of it! (In this case, y) We will subtract to get rid of y.
6x = -8
Third, you want to solve the equation.
6x = -8 (divide by 6)
x =
Fourth, solve for y by inserting the answer for x into one of the equations.
10(
) + y = -20
+ y = -20 (subtract
)
y =
The solution for this system of equations is (
,
).