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krek1111 [17]
2 years ago
7

△RQP≅△ONM. Find the value of x. ( I WILL GIVE BRAINLIEST! PLS HELP!) refer to attachment

Mathematics
2 answers:
zmey [24]2 years ago
5 0

the answer is

x= 5/3

BTW thx for brainliest

Lerok [7]2 years ago
3 0

Answer:

  • x = 25

Step-by-step explanation:

According to picture, PQ and MN are corresponding sides of congruent triangles.

  • PQ = MN
  • 70 = 3x - 5
  • 3x = 70 + 5
  • 3x = 75
  • x = 25
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james' daily wage was $5 more than Davis's. Although James worked 3 days less than David, they earned $180 each. Find the number
zalisa [80]

Answer: 9 days

Step-by-step explanation:

Let x represent James' daily wage

James' daily wage was $5 more than Davis's. It means that Davis's daily wage will be $(x-5)

Let y represent number of days that James worked. James worked 3 days less than David. It means that the number of days that Davis worked would be (y + 3) days

they earned $180 each. Total amount of money earned by either of of them is the product of wage and the number of days worked.

Since James earned $180, then

180 = xy - - - - - - - - 1

Since Davis also earned $180, then

180 = (x - 5)(y + 3)

xy +3x -5y -15 = 180 - - - - - - - - 2

Substituting xy = 180 into equation 2

It becomes

180 + 3x - 5y -15 = 180

3x - 5y = 180 - 180 + 15

3x - 5y = 15 - - - - - - -3

From equation 1, x = 180/y

Substituting x = 180/y into equation 3, it becomes

3 × 180/y - 5y = 15

540 - 5y^2 = 15y

5y^2 + 15y -540 = 0

Dividing through by 5

y^2 + 3y -108 = 0

y^2 + 12y - 9y -108 = 0

y(y + 12) - 9(y + 12) = 0

y + 12 = 0 or y - 9 = 0

y = -12 or y = 9

Since the number of days cannot be negative, then,

Number of days that James worked will be 9 days

8 0
3 years ago
Which expression represents the distance between point (0, a) and point (a, 0) on a coordinate grid?
o-na [289]

Answer:

\sqrt{2} a

Step-by-step explanation:

The distance between point (x1,y1) and (x2,y2) on a coordinate plane is given by expression \sqrt{(x1-x2)^2+(y1-y2)^2}

In the problem given coordinate points are

(0, a) and (a, 0).

Thus, distance between these points are given by

distance = \sqrt{(x1-x2)^2+(y1-y2)^2}\\=>distance = \sqrt{(0-a)^2+(a-0)^2}\\=>distance = \sqrt{(a)^2+(a)^2}\\\\=>distance = \sqrt{2a^2}\\=>distance = \sqrt{2} a

Thus , expression \sqrt{2} a gives the distance between point (0, a) and point (a, 0) on a coordinate grid.

5 0
3 years ago
Read 2 more answers
Please dont answer with anything bad :((( extremely need help
svetoff [14.1K]

Answer:

120°

Step-by-step explanation:

A line must add up to 180°.

The sum of angles in a triangle also adds up to 180°.

Step 1: Find measures interior angles.

3x = 180

x = 60°

Step 2: Find measures of exterior angels.

x + 60 = 180

x = 120°

5 0
3 years ago
Read 2 more answers
Eight more than the product of four and a number is twice the sum of the number and six. Write an equation that can be used to s
masha68 [24]
4n+8=2(n+6)
Now isolate the n on one side of the equation:
4n+8=2n+12(distribution of the 2)
4n=2n+4(combine like terms)
2n=4(combine like variables)
N=2(isolate the n)

The answer is 2
Good luck!
3 0
3 years ago
Evaluate the expression. 34⋅23
Alex17521 [72]

Answer:

784

Step-by-step explanation:

(30+4)(23+3)

7 0
3 years ago
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