Answer:
Step-by-step explanation:
the line's equation would be
y = 1/3x -6
so just graph a line using this equation
hope this helps <3
Answer:
PG ≅ SG (Given)
PT ≅ ST (Given)
GT = GT (Common)
∴ ∠GPT ≅ ∠GST (SSS Congruency Axiom)
Step-by-step explanation:
<u>Given</u>: PG ≅ SG and PT ≅ ST
<u>To Prove</u>: ∠GPT ≅ ∠GST
<u>Proof</u>: PG ≅ SG (Given)
PT ≅ ST (Given)
GT = GT (Common)
∴ ∠GPT ≅ ∠GST (SSS Congruency Axiom).
<u>SSS Congruency Axiom</u>: If three pairs of sides of two triangles are equal in length, then the triangles are congruent.
<u>Congruence</u>: Two sets of points are called congruent if, and only if, one can be transformed into the other by an isometry, i.e., a combination of rigid motions, namely a translation, a rotation, and a reflection. This means that either object can be repositioned and reflected (but not resized) so as to coincide precisely with the other object. Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.
Answer:
![x=22\frac{1}{2}=22.5](https://tex.z-dn.net/?f=x%3D22%5Cfrac%7B1%7D%7B2%7D%3D22.5)
Step-by-step explanation:
![x-9=\frac{3}{5}x](https://tex.z-dn.net/?f=x-9%3D%5Cfrac%7B3%7D%7B5%7Dx)
- First, lets get rid of the fraction. I did this by multiplying both sides by
.
![5(x-9)=5(\frac{3}{5}x)\\5x-45=\frac{5}{1} *\frac{3}{5}x\\5x-45=\frac{15}{5}x\\5x-45=3x](https://tex.z-dn.net/?f=5%28x-9%29%3D5%28%5Cfrac%7B3%7D%7B5%7Dx%29%5C%5C5x-45%3D%5Cfrac%7B5%7D%7B1%7D%20%2A%5Cfrac%7B3%7D%7B5%7Dx%5C%5C5x-45%3D%5Cfrac%7B15%7D%7B5%7Dx%5C%5C5x-45%3D3x)
- We want to isolate
on one side of this equation. Let's put any values with
on one side of the equation, and normal integers on the other.
![2x=45](https://tex.z-dn.net/?f=2x%3D45)
- Divide both sides by
.
![x=\frac{45}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B45%7D%7B2%7D)
- If your teacher wants you to leave your final answer as an improper fraction, your final answer is this. If they want it to be a mixed number or decimal, your final answer will be:
![x=22\frac{1}{2}=22.5](https://tex.z-dn.net/?f=x%3D22%5Cfrac%7B1%7D%7B2%7D%3D22.5)
Answer:
-41
Step-by-step explanation:
You would replace all x's with -9 and solve.