Answer:
8. x = 16
9. x = 10
14.
m ∠RSU = 130°
m ∠UST = 50°
15.
m ∠RSU = 124°
m ∠UST = 56°
Step-by-step explanation:
8.
Given ∠DEF is bisected by EG. That is , ∠DEG = ∠GEF
That is , (x + 15)° = 31°
x = 31 - 15 = 16
9.
Given ∠DEF is bisected by EG. That is , ∠DEG = ∠GEF
That is ,
(6x - 4)° = 56°
6x = 56 + 4
6x = 60
x = 10
14.
13x + 5x = 180° [straight line angles ]
18x = 180
x = 10
m ∠RSU = 130°
m ∠UST = 50°
15.
4x + 12 + 2x = 180° [ straight line angles]
6x = 180 - 12
6x = 168
x = 28
m ∠RSU = 4(28) + 12 = 112 + 12 = 124°
m ∠UST = 2(28) = 56°
Histograms are used to represent data, where the length of each bar represents the frequency of the data element
The histogram is not given; So, I will give a general explanation.
Assume that the number of commuters that travel more than 45 minutes is 450, while the total number of commuters surveyed is 500.
The percentage of commuters that travel more than 45 minutes is the quotient of the commuters that travel more than 45 minutes and the total number of surveyed commuters.
So, we have:
Divide 450 by 500
Express as percentage
Hence, the percentage of commuters that travel more than 45 minutes is 90%
Read more about histograms at:
brainly.com/question/2776232
Answer:
h = 4x ^ 3 + 18
Step-by-step explanation:
The first thing you should know for this case is that the area of a triangle is given by:
A = (1/2) * (b) * (h)
Where,
b: base.
h: height.
Clearing the height we have:
h = ((2) * (A)) / (b)
Substituting the values
h = ((2) * (14x ^ 5 + 63x ^ 2)) / (7x ^ 2)
Simplifying the expression:
h = ((2) * (2x ^ 3 + 9))
h = 4x ^ 3 + 18
answer
an expression to represent its height is
h = 4x ^ 3 + 18
Hi there! I can help you.
Rate: To find the rate, let’s divide interest earned by the principal. When you do, you get 0.15. Multiply by 100 to get 15 and divide by 3 to get 5. The simple interest rate is 5%.
New balance: All you have to do is add the principal and he new balance. When you do, you get 517.5. The new balance is $517.50.
Answer:
Step-by-step explanation:
I will upload a picture with my work.
