The sum of the measures of the angles of a triangle is 180 degrees.
Angles STU and STR are supplementary angles.
Angles R and STR are congruent.
m<STU + m<STR = 180
8x + m<STR = 180
m<STR = 180 - 8x
m<R = m<STR = 180 - 8x
m<RST + m<R + m<STR = 180
7x - 54 + 180 - 8x + 180 - 8x = 180
-9x + 360 = 180
-9x = -126
x = 14
Answer:
Q1) x = 17.3
y = 8.7
Q2) d = 19
Step-by-step explanation:
Question 1
Angle = 60°
Hypotenuse = x
Adjacent = y
Opposite = 15
<u>Step 1: Find x</u>
Sin (angle) = opposite/hypotenuse
Sin (60°) = 15/x
x = 10√3 = 17.3
<u>Step 2: Find y</u>
Tan (angle) = opposite/adjacent
Tan (60°) = 15/y
y = 5√3 = 8.7
Question 2
<u>Step 1: Find the diagonal of the base</u>
c² = a²+b²
c² = 6² + 10²
c = 2√34 = 11.7
<u>Step 2: Find diagonal d</u>
c² = a² + b²
d² = 11.7² + 15²
d = 19
!!
Answer:
8 bathroom jobs and 9 kitchen jobs
Step-by-step explanation:
B=60
K=20
8*60=480
9*20=180
that would give harry 660 dollars in a week. HOWEVER- we have to make sure that its equal to or less than 15 hours of work.
8*1h= 8 hours in bathroom
9*45m=6.75hr in kitchen
8 hours+6.75 hours=14.75hr 14.75 hr<15hr so it works.
Answer:
Exponential
Step-by-step explanation:
The y values are going up by a factor of 2 as x increases.
