Answer:
m<PQS = 82°
m<RQS = 59°
Step-by-step explanation:
m<PQS = (13x + 4)°
m<RQS = (10x - 1)°
m<PQR = 141°
To find each angle measure, find the value of x.
First, get an equation that defines the relationship between the angle measures as follows:
m<PQS + m<RQS = m<PQR (angle addition postulate)
(13x + 4)° + (10x - 1)° = 141°
Use the equation to solve for x
13x + 4 + 10x - 1 = 141
Combine like terms
13x + 10x + 4 - 1 = 141
23x + 3 = 141
Subtract 3 from each side of the equation
23x + 3 - 3 = 141 - 3
23x = 138
Divide each side by 23
23x/23 = 138/23
x = 6
m<PQS = (13x + 4)°
Plug in the value of x
m<PQS = 13(6) + 4 = 78 + 4
m<PQS = 82°
m<RQS = (10x - 1)°
Plug in the value of x
m<RQS = 10(6) - 1 = 60 - 1
m<RQS = 59°
Answer:
Step-by-step explanation:
That is the area of a trapezoid
A=h(b1+b2)/2
We are given everything but the height so
h=(2A)/(b1+b2), now using the values given to us we have
h=(2(15))/(2+3)
h=30/5
h=6
Answer: 20 minutes
Step-by-step explanation:
30000= 900x+12000
18000=900x
20=x
Answer:
Step-by-step explanation:
AREA FORMULA: LENGTH * WIDTH
L*W=30
L=W+4 thus
(W+4)W=30
W^2+4W=30
W^2+4W-30=0
USING THE QUADRATIC EQUATION WE GET
X=(-B+-SQRT[B^2-4QC])/2A
X=(-4+-SQRT16-4*1*-30])/2*1
X=(-4+-SQRT16+120])/2
X=(-4+-SQRT136)/2
X=(-4+-11.66)/2
X=(-4+11.66)/2
X=7.66/2
X=3.83M IS THE WIDTH.
THUS THE LENGTH IS
L*3.83=30
L=30/3.83
L=7.83M IS THE LENGTH
Answer:
6.7 degrees
Step-by-step explanation:
180-173.3 = 6.7 degrees
