Answer:
99°
Step-by-step explanation:
- m∠VUT = 10x + 9
- m∠BUT = 7x - 1
- m∠VUB = 37°
- m∠VUT = ?
<u>We see that</u>
- m∠VUT = m∠BUT + m∠VUT
- 10x + 9 = 7x - 1 + 37
- 10x - 7x = 36 - 9
- 3x = 27
- x = 9
<u>Angle VUT measures:</u>
Answer:
G. Heather rented a hotel for $110 a night plus $18 a night for valet parking
Step-by-step explanation:
A proportional relationship is one that has a constant ratio between two variables
y/x = Constant
From the given options, the one with a proportional relationship is option G.
The amount at which Heather rented a hotel = $110
The amount he pays for valet parking = $18
The total amount Heather pays a night = $110 + $18 = $128
The amount she pays for 2 nights = 2 × $128 = $256
Therefore, we have;

From which we get;
y/x = 128/1 = 256/2 = 128 = Constant.
Refer to the diagram shown below.
m∠A = 120°
b = 13 cm
c = 15 cm
From the Law of Sines, the area of the triangle is
Area = (1/2)*b*c*sin(A)
= 0.5*13*15*sin(120°)
= 84.4375 cm²
Answer: 84.4 cm² (nearest tenth)
Let x be the weeks worked on building the road
13=(1/2)x
13*2=x
26 days=x
In the duration of 26 weeks, the road should be built.
Hope I helped :)