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balu736 [363]
2 years ago
15

Will give 60 points and brainliest

Mathematics
2 answers:
elixir [45]2 years ago
7 0

In order to find the value of x, we can write the following statements and reasons:

Triangle PQR:

1. Statement: PS = PS

Reason: Reflexive property of equality

2. Statement: angle PSQ is congruent to angle PSR

Reason: Given

3. Statement: SQ is equal to SR

Reason: Given:

4. Statement: Triangle PSQ is congruent to triangle PSR

Reason: Case SAS of congruency

5. Statement: PQ is congruent to PR, so PR = 8

Reason: Corresponding sides of congruent triangles

Quadrilateral VSTU:

1. Statement: VT = VT

Reason: Reflexive property of equality

2. Statement: angle SVT is congruent to angle UVT

Reason: Given

3. Statement: angle VST is congruent to angle VUT

Reason: Given

4. Statement: Triangle VST is congruent to triangle VUT

Reason: Case AAS of congruency

5. Statement: ST = TU

Reason: Corresponding sides of congruent triangles

So we have 5z = 2z + 3. Solving for z, we have z = 1, so ST = 5z = 5

Katen [24]2 years ago
6 0
I am not sure what you mean, but x=4
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3(x+3/4+5-x/4-x/6)=10​
viva [34]

3(x+3-4+5-x-4-x-6)=10

-3x/-3= -28/3

x= -28/3

5 0
3 years ago
Safara wants to rent a bicycle the graph shows the cost for renting a bicycle for different lengths of time. What is the slope o
enot [183]

The slope of the line will be equal to 30.

Slope of a line may be defined as the steepness of a curve. Slope of line can be positive, negative or zero. Slope of a line is used to determine the equation of the line which is given as y = mx + b where m is the slope, b is y intercept and x and y are independent and dependent variables respectively. The slope of a line on points (x₁, y₁) and (x₂, y₂) is given by the formula, m = y₂ - y₁/x₂ - x₁.

According to the question the value of points is (x₁, y₁) = (0, 0) and (x₂, y₂) = (2, 60).

Now, the slope can be calculated as

m = (60 - 0)/(2 - 0)

=> m = 60/2

=> m = 30 which is the required slope.

Learn more about Slope at:

brainly.com/question/6531433

#SPJ1

4 0
1 year ago
Which pair of angles are congruent?<br><br> A. 4 and 5<br> B. 1 and 7<br> C. 2 and 5<br> D. 6 and 8
erik [133]

Answer:

B: 4 and 5

Step-by-step explanation:

I'm not 100% sure but all of the other angles don't look congruent

7 0
2 years ago
Read 2 more answers
A map has a scale of 1 in: 25 mi. Two cities are 175 mi apart. How far apart are they on the map?
myrzilka [38]
Ratio = 1/25
Let, the distance b/w cities on map = x

It would be: 1/25 = x/175
x = 175/25
x = 7

In short, Your Answer would be 7 in

Hope this helps!
4 0
3 years ago
A bus travels at a constant speed of 48 km/h. How long will it take to travel 600 km?
grigory [225]

Answer:

It will take 12 and 30 hours

Step-by-step explanation:

To solve this, you need to divide by <u>distance needed to travel by the speed</u>

600/48 is equal to 12.5 hours.

.5 hours is equal to 30 mins because 60mins times .5 is 30 minutes, therefore <u>the final answer is 12.5 hours</u>

I hope this helps :)

7 0
2 years ago
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