Answer:
Im going to guess k is the unknown
Step-by-step explanation:
7k-14=42
42+14=7k
56=7k
56/7=k
k=8
Triangle QST is similar to triangle PQR
We are given that measure of angle SRP is 90°
Q is the point of the hypotenuse SP
Segment QR is perpendicular to PS and T is a point outside the triangle on the left of s
We need to find which triangle is similar to triangle PQR
So,
Using Angle - Angle - Angle Criterion We can say that
m∠PQR = m∠SQR (AAA similarity)
m∠SQR=m∠SQT (AAA similarity)
Where m∠Q =90° in ΔQST and PQR
Therefore ΔQST is similar to ΔPQR
Learn more about similarity of triangles here
brainly.com/question/24184322
#SPJ4
Answer:
![y=4x+6](https://tex.z-dn.net/?f=y%3D4x%2B6)
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form:
where m is the slope (also called the gradient) and b is the y-intercept (the value of y when x is 0)
<u>1) Plug the gradient into the equation (b)</u>
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
We're given that the gradient of the line is 4. Plug this into
as m:
![y=4x+b](https://tex.z-dn.net/?f=y%3D4x%2Bb)
<u>2) Determine the y-intercept (b)</u>
![y=4x+b](https://tex.z-dn.net/?f=y%3D4x%2Bb)
Plug in the given point (1,10) as (x,y) and solve for b
![10=4(1)+b\\10=4+b](https://tex.z-dn.net/?f=10%3D4%281%29%2Bb%5C%5C10%3D4%2Bb)
Subtract 4 from both sides to isolate b
![10-4=4+b-4\\6=b](https://tex.z-dn.net/?f=10-4%3D4%2Bb-4%5C%5C6%3Db)
Therefore, the y-intercept of the line is 6. Plug this back into
as b:
![y=4x+6](https://tex.z-dn.net/?f=y%3D4x%2B6)
I hope this helps!
Answer:
Hey there!
a/3=-18
a=-54
Let me know if this helps :)