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Anuta_ua [19.1K]
3 years ago
10

Find the values of x in quadrilateral PQRS (Angle P is 80 degrees, angle S is 70 degrees, angle R is 2x degrees, and angle Q is

x degrees.)
Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
7 0

Step-by-step explanation:

80+70+2×+×=180

=150+2×+×=180

=150+3×=×180

180-150=3×

30=3×

/3=/3

×=10

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On Monday Sophie ran 4 5/6 laps of a running track and on Tuesday she ran 5 3/4
MatroZZZ [7]

Answer:

10  7/12

hope this is right

Step-by-step explanation:

4  5/6 = 29/6 as an improper fraction

5  3/4 = 23/4 as an improper fraction

you times the two denominators together = 24

you times 29 by 4 = 116

you times 23 by 6 = 138

you add 116 and 138 = 254

you put this over 24 =  254/24

simplify this = 127/12

you make this a mixed number = 10 7/12

the answer is 10 7/12

3 0
3 years ago
Is 5/6 greater than 1/2
Alinara [238K]
Yes it is. We know this cause 1 is smaller than 5 and 6 is bigger than 2. 

Hope This Helps!





7 0
3 years ago
The quotient of a number and -7 decreased by 2, is 10.
klasskru [66]
Hello!

This expression can be broken down into 3 separate parts:

1. "the quotient of a number and (-7)"
2. "decreased by 2"
3. "is 10"

We'll begin with the first part. The word "quotient" implies the result of a division problem. Therefore, this part can be represented by the following expression (let "x" represent the unknown number):

\frac{x}{(-7)}

Now we'll move on to the second part. If something is decreased by a value of 2, we know that 2 is being subtracted. Therefore, this part can be represented by the following expression:

– 2

Now we'll move on to the third and final part. The phrase "is 10" implies that the operations preceding this part are equal to 10. Therefore, this part can be represented by the following expression:

= 10

Finally, put the three parts together to create the following equation:

\frac{x}{(-7)} – 2 = 10

The equation has now been fully translated. If, however, you are required to find the unknown value (x), begin by adding 2 to both sides of the equation:

\frac{x}{(-7)} = 12

Now multiply both sides by (-7):

x = (-84)

We have now proven that the unknown number is equal to (-84).

I hope this helps!
3 0
3 years ago
Please help me with this 100 points
Serjik [45]

Answer:

2m + 153.5

Step-by-step explanation:

Hey there

2m =  The word times means multiplication. So, multiply 2 and m.

153.5 = The phrase more than means addition. So, add 2m and 153.5.

hope it helped

5 0
3 years ago
Read 2 more answers
At certain time of day , a 30 meter high building cast a shadow that is 31 meters long . what is the angle of the elevation of t
Nimfa-mama [501]

Answer:

Option C. 44 degree

Step-by-step explanation:

Let

A-----> the angle of the elevation of the sun

we know that

The tangent of angle A is equal to divide the opposite side angle A by the adjacent side angle A

In this problem

The opposite side is 30 meters

The adjacent side is 31 meters

tan(A)=\frac{30}{31}

A=arctan(\frac{30}{31})=44\°

6 0
4 years ago
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