Answer:
x = 20
y = 10
m∡8 = 110°
Step-by-step explanation:
m∡1 + m∡2 = 180
5x + y + 3x + y = 180
8x + 2y = 180
m∡1 = m∡8 (they are alternate-exterior angles and are congruent)
5x + y = 3x + 5y
2x = 4y
x = 2y
Substitute '2y' for 'x' in 8x + 2y = 180
8(2y) + 2y = 180
18y = 180
y = 10
x = 2(10)
x = 20
m∡8 = 3(20) + 5(10) = 110°
Step-by-step explanation:
8/3 cups of sugar is needed to make 16 cookies.
For 90 cookies, we will need 8/3 * 90/16 = 15 cups of sugar.
Angles and sides
meaning the length of the sides of the triangle and all the angles <span />
Answer:
Step-by-step explanation:
First, find the <em>rate of</em><em> </em><em>change</em><em> </em>[<em>slope</em>]:


Now input the slope into the Point-Slope Formula. In this formula, all negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT signs:
![y + 3 = -1\frac{3}{5}[x - 2]\:or\:y - 5 = -1\frac{3}{5}[x + 3]](https://tex.z-dn.net/?f=y%20%2B%203%20%3D%20-1%5Cfrac%7B3%7D%7B5%7D%5Bx%20-%202%5D%5C%3Aor%5C%3Ay%20-%205%20%3D%20-1%5Cfrac%7B3%7D%7B5%7D%5Bx%20%2B%203%5D)
I am joyous to assist you anytime.
The college student took 13 courses of 3 credit hours.
Step-by-step explanation:
Given,
Total credits = 59
Total courses = 18
Let,
Number of 3 credit hour courses = x
Number of 4 credit hour courses = y
According to given statement;
x+y=18 Eqn 1
3x+4y=59 Eqn 2
We will eliminate y to find the number of 3 credit hour courses, therefore,
Multiplying Eqn 1 by 4

Subtracting Eqn 2 from Eqn 3

The college student took 13 courses of 3 credit hours.
Keywords: linear equation, subtraction
Learn more about linear equations at:
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