<em>∠PYG = 137°</em>
Step-by-step explanation:
We know that a straight line is equal to 180°, so by looking at the image we can tell that if we added both of these angles together they would be equal to the straight line.
We can make an equation by adding these two angles together and setting them equal to 180.

We can combine like terms.

Subtract 244 from both sides.

Divide.
<em><u>p = -8</u></em>
Now that we have found what p is equal to, we can plug it in to find the measure of ∠PYG.

<em><u>= 137</u></em>
~
If you wanted to double check this answer, we can plug in -8 for p on the other side and make sure both would be equal to 180.
Like this...

= 43
And we know that...
137 + 43 = 180
~
So...
<u><em>∠PYG = 137°</em></u>
<u><em>∠HYG = 43°</em></u>
<h3>
Answer: (-3, 0)</h3>
Explanation:
Point N is at (1,3)
We apply the rule
which will translate the point 4 units to the left and 3 units down.
The old x coordinate x = 1 becomes x-4 = 1-4 = -3
The old y coordinate y = 3 becomes y-3 = 3-3 = 0
The point N(1,3) moves to N ' (-3, 0)
Answer:
y = -1/2x - 1/2
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Step 1: Define
y = -1/2x + 3/7
Point (-1, 0)
Step 2: Find parallel line
<em>Parallel lines have the same slope as the original but different y-intercepts.</em>
<em>m</em> = -1/2
y = -1/2x + b
0 = -1/2(-1) + b
0 = 1/2 + b
b = -1/2
Step 3: Write parallel line
y = -1/2x - 1/2
Answer:
96 km
Step-by-step explanation:
72/3 is 24. When yo add 24 to 72 you get 96km.
Answer:
2.4 miles
Step-by-step explanation:
This is a simple ratio problem.
Jordyn swims 4/5 mile in 1/3rd hour. So how many miles will they go in 1 hour? Let that be x:
That is 12/5 miles or 2 2/5 miles
In decimal, that's 2.4 miles