Answer:
P = 57°
Step-by-step explanation:
Given the following :
PQ = 17
QR = 15
PR = 14
Using the cosine formula since the length of the three sides are given:
a2 = b2 + c2 – 2bccos(A)
To find P:
QR^2 = PQ^2 + PR^2 – 2(PQ)(PR)cos(P)
15^2 = 17^2 + 14^2 – 2(17)(14)cos(P)
225 = 289 + 196 - 476 cosP
476*CosP = 485 - 225
476*CosP = 260
CosP = 260/476
CosP = 0.5462184
P = Cos^-1(0.5462184)
P = 56.892029
P = 57°
I believe one
is named congruent triangle
not sure for the other one
Answer:
y = - 2x + 12
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 2, thus
y = - 2x + c ← is the partial equation
To find c substitute (5, 2) into the partial equation
2 = - 10 + c ⇒ c = 2 + 10 = 12
y = - 2x + 12 ← equation of line
3. A
2. C
Idk if you should repost this with a better pic though
Answer:
x = 2
Step-by-step explanation:
<u>Step 1: Convert words into an expression</u>
What is the value of x in the equation 13 x minus 2 (8 + 5 x) = 12 minus 11 x?
13x - 2(8 + 5x) = 12 - 11x
<u>Step 2: Distribute</u>
13x - 2(8 + 5x) = 12 - 11x
13x - 16 - 10x = 12 - 11x
<u>Step 3: Solve for x</u>
13x - 16 - 10x + 11x + 16 = 12 - 11x + 11x + 16
14x / 14 = 28 / 14
x = 2
Answer: x = 2
