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True [87]
4 years ago
8

Find the value of x in the given statement. The diagram is not to scale.

Mathematics
1 answer:
Evgen [1.6K]4 years ago
3 0
Step One
Find RST
The two base angles are given as equal and one of the is 28. So is the other one.
SRT = 28
STR = 28
All triangles have interior angles that add up to 180 degrees.

RST + SRT + STR = 180
28 + 28 + RST = 180
56 + RST = 180 Subtract 56 from both sides.
RST = 180 - 56
RST = 124

Step two
Find the exterior angle
The exterior angle = Sum of the two remote interior angles (RST + SRT)
The exterior angle = 28 + 124
The exterior angle = 152

Step Three
Find the value of x
2*x = 152 Divide by 2
x = 152 / 2
x = 76

There is a quicker way of finding the exterior angle. I didn't see it until I had written step two.
The exterior angle + STR = 180 degrees. They are supplementary.
The exterior angle + 28 = 180
The exterior angle = 180 - 28
The exterior angle = 152


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6 people will attend a lunch. 2 cans of juice should be provided per person. Determine the total number of cans of juice require
kirza4 [7]

Answer:

12

Step-by-step explanation:

If 6 people attend lunch and they get 2 cans of juice each then there is 12 cans of juice.

A=2

B=2

C=2

D=2

E=2

F=2

Total cans of juice=12

4 0
3 years ago
What is x if 3x − 1 divided 4 = −5?
Novosadov [1.4K]

Answer:

x=-19/3

Step-by-step explanation:

(3x-1)/4=-5

3x-1=-5*4

3x-1=-20

3x=-20+1

3x=-19

x=-19/3

5 0
4 years ago
Read 2 more answers
Can someone solve these for me please
Grace [21]

Answer:

2. 16

3. 46

4. 59

Step-by-step explanation:

5.The measure of smaller angle is 87 degrees.

Step-by-step explanation:

Consider the provided information.

The provided angles are 3x degree and 2x + 25 degree.

Two angles are said to be Supplementary angles if their sum is 180 degree.

It is given that the provided angle are supplementary angles, thus

3x + 2x + 25 = 180

5x + 25 = 180

5x  = 180 - 25

5x  = 155

x = 31

Now, substitute the value of x in first angle i.e 3x.

3(31) = 93

Substitute the value of x in the second angle i.e 2x + 25

2(31) + 25 = 62 + 25 = 87

Hence, the measure of smaller angle is 87 degrees.

8 0
3 years ago
Me zachary brings 264 ounces of water to basketball practice for the players to drink . Ifmr zachary didvides the water equally
Mila [183]

Answer:

3 ounces.

Step-by-step explanation:

We have been given that Me Zachary brings 264 ounces of water to basketball practice for the players to drink. Mr Zachary divides the water equally among the 9 players. We are asked to find the amount of water that is left over.

To find the amount of water that is left over, we will take out the largest multiple of 9 from 264.

Let us divide 264 by 9.

   9) 264(29

    <u>   18</u>

         84

<u>          81</u>

            3

We can see that remainder in 3, therefore, 3 ounces of water will be left over.

3 0
4 years ago
Plzzzzzzzzzzzz help me
grigory [225]

Answer:

y=-3/2x+6

Step-by-step explanation:

You can find the slope by taking two points on the graph, and making the one that occurs earlier in the graph (from left to right) the first point (x1, y1) and the one that occurs later in the graph the second point (x2, y2). The equation is m (or slope)=(y2-y1)/(x2-x1). I took the first two points in the table for this. m=(12-18)/-4-(-8)

the double negative on the bottom becomes an addition=> (12-18)/(-4+8)

the top simplifies to be -6 and the bottom simplifies to 4=>-6/4

this fraction can be reduced to -3/2, which is the slope of the graph.

Now, use point slope form (y-y1=m(x-x1)) to find the equation of the graph. Plug any coordinate on the graph in for x1 and y1 here. It should be correct as long as it is a point on the graph, but I am using the point (-8, 18) here.

=>y-18=-3/2(x-(-8))

the double negative in the parentheses becomes a positive=> y-18=-3/2(x+8)

distribute the -3/2 to every term in the parentheses=> y-18=-3/2x-12

add 18 to both sides, cancelling out the -18 on the left side of the equation=>y=-3/2x+6 (-12+18=6 to get 6 for b).

Therefore, the equation is y=-3/2x+6

6 0
3 years ago
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