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vredina [299]
3 years ago
8

What are the values of a and b

Mathematics
1 answer:
dimulka [17.4K]3 years ago
6 0
Answer:
A= 73 degrees
B= 34 degrees

Explanation:
Through the diagram, it is given that QP is a straight line. By supplementary angles(meaning in straight lines of 180 degrees, the angles must add to 180), angle a plus 107 degrees must equal 180 degrees. So:
a+107=180
a= 73
Next, angles RQP and RPQ are congruent because of the sides are congruent, the angles must be congruent. All angles of a triangle must equal 180 degrees. Given the previous, 2a+b=180. Plug a in and solve for b:
2(73)+b=180
146+b=180
b= 34
In conclusion, A= 73 degrees and B=34

** please check my math as I do not have a calculator with me lol
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STEP-BY-STEP EXPLANATION:

(1,-3) and (3,3)

X1=1           X2=3

Y1= - 3       Y2=3

1) Find the slope of the line.

To find the slope of the line passing through these two points we need to use the slope  formula:

m = \frac{Y2-Y1}{X2-X1}

m= \frac{3-(-3)}{3-1}   m=\frac{6}{2} = 3

2)Use the slope to find the y-intercept.

Now that we know the slope of the line is 3 we can plug the slope into the equation and  we get:

y= 3x+b

Next choose one of the two point to plug in for the values of x and y. It does not matter  which one of the two points you choose because you should get the same answer in either  case. I generally just choose the first point listed so I don’t have to worry about which  one I should choose.

y= 3x+b       point (1,-3)

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6 0
3 years ago
Can someone help me please
Neporo4naja [7]

If Deliah does jumping jacks at a constant rate, this means that she does them at the same pace or you could say that she does the same amount of jumping jacks in a specified amount of time, ie. if you counted how many jumping jacks she did in one minute, it would be same as how many she would complete in the next minute, and the next, and so on.

Now given that she does 184 jumping jacks in four minutes, and she has kept a constant pace throughout, to find out how many she does each minute, we simply need to divide the number of jumping jacks she does in 4 minutes by 4. Thus:

Jumping jacks in 1 minute = Jumping jacks in 4 minutes / 4

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Thus, Deliah can do 46 jumping jacks per minute.

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3 years ago
¿Cuál de los siguientes números es
Olegator [25]

Answer:

B

Step-by-step explanation:

6 0
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