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lakkis [162]
3 years ago
11

The measure of AngleRST can be represented by the expression (6x + 12)°. Three lines extend from point S. The space between line

s S R and S U is 78 degrees. The space between lines S U and S T is 3 x minus 12. What is mAngleRST in degrees?
Mathematics
1 answer:
DochEvi [55]3 years ago
8 0

Answer:The measure of angle RST is 120\°

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

m<RST=(6x+12)\° -----> equation A

m<RST=78\°+(3x-12)\° -----> equation B

equate equation A and equation B

(6x+12)\°=78\°+(3x-12)\°

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The following frequency table summarizes the number of children that dads in Dads Club have.
attashe74 [19]

Answer:

C

Step-by-step explanation:

Now there are 6+4+8+1+1=20 dads in the Dads Club.

Fewer than 3 children have

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So, 6+4=10 dads have fewer than 3 children.

The probability that the dad of Dads Club has fewer than 3 children is

Pr=\dfrac{10}{20}=0.5 \text{ or } 50\%.

The probability that the next dad to join Dads Club has fewer than 3 children is reasonable to be 50%.

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3 years ago
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Question 8 (2 points)<br> 15 is 25% of<br> Brank 1:<br> HELPPP MEEE
Ilya [14]

Answer:

15 is 25% of 60

Step-by-step explanation:

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Simplify the expression i⁸²
Elza [17]

Answer:

We can use a trick here. Let's look at the first few exponents of i to realize this:

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i^5 = i

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Step-by-step explanation:

6 0
3 years ago
How many times does 0.75 fit into 9 wholly<br>I need help
nexus9112 [7]

Answer:

12. 9÷0.75.

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3 0
1 year ago
dale is driving to Miami. suppose that the distance (in miles) is a linear function of his total driving time (in minutes). dale
nexus9112 [7]
Considering there is a function (relationship) and that it is linear, the distance will change proportionally to time constantly. In other words, we are taking the speed to be constant throughout the journey.
If we let:
t = time (min's) driving
d = distance (miles) from destination
Then we can represent the above information as:
t = 40: d = 59
t = 52: d = 50
If we think of this as a graph, we can think of the x-axis representing time and the y-axis representing the distance to the destination. Being linear, the function will be a line, i.e. it will have a constant gradient. If you were plot the two points inferred from the information and connect the two dots, you will get a declining line (one with a negative gradient) representing the inversely proportional relationship or equally, the negative correlation between the time driving and the distance to the destination. The equation of this line will be the linear function that relates time and the distance to the destination. To find this linear function, we do as follows:

Find the gradient (m) of the line:
m = Δy/Δx
In this case, the x-values are t-values and our y-values are d-values, so:
Δy = Δd
= 50 - 59
= -9
Δx = Δt
= 52 - 40
= 12
m = -9/12 = -3/4
Note: m is equivalent to speed with units: d/t

Use formula to find function and rearrange to give it in the desired format:
y - y₁ = m(x - x₁)
d - 50 = -3/4(t - 52)
4d - 200 = -3t + 156
4d + 3t - 356 = 0

Let t = 70 to find d at the time:
4d + 3(70) - 356 = 0
4d + 210 - 356 = 0
4d - 146 = 0
4d = 146
d = 73/2 = 36.5 miles

So after 70 min's of driving, Dale will be 36.5 miles from his destination.
3 0
3 years ago
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