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LiRa [457]
2 years ago
15

Solve for x. that is all thats provided for the question

Mathematics
1 answer:
marta [7]2 years ago
6 0

Answer:

The, value x for the give problem is 20 units.

Step-by-step explanation:

Consider triangle ABC,

Now, from the attached figure

Given that

PQ || AB

CP = 8units

PA = 6 units

CQ = x = ? units.

QB = 15 units

We know that

By Basic Proportionality Theorem,

CP / PA = CQ / QB

On substituting these values in the above formula

⇛ (8) / (6) = (x) / (15)

On applying cross multiplication then

⇛ 8(15) = x(6)

⇛ 120 = 6x

⇛ x = 120÷6

⇛ x = 120/6

Therefore, x = 20 units.

<u>Answer</u>: Hence, value of x is 20 units.

<u>Additional comment:</u>

Basic Proportionality Theorem

" A line drawn parallel to the one side of a triangle intersecting other two sides at two different points, then the line divides the other two sides in the same ratio"

Please let me know if you have other questions.

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For the past 25 days, jonathon has read for n minutes each day. His total number of minutes read is 875. Write an equation to ex
liubo4ka [24]

Answer:

Required equation is: 25n = 875

Step-by-step explanation:

Let n be the number of minutes Jonathon read per day

Now

He read for 25 days and total 875 minutes

The equation will be:

25n = 875

We can solve this equation to find the number of minutes each day

Using Division property of Equality

\frac{25n}{25} = \frac{875}{25}\\n = 35

Hence,

Required equation is: 25n = 875

6 0
2 years ago
What is the circumcenter of the points (2,6), (8,6), (8,10)
mario62 [17]

See https://web2.0calc.com/questions/need-help-now_10.

8 0
3 years ago
∆ABC is an isosceles triangle. The length of CB is 12 feet 4 inches and the congruent sides are
son4ous [18]

Answer:

Answer for 2nd is option c, for 3rd is option d, for 4th is option e

Step-by-step explanation:

As we know 1 ft.=12 in.

  1. In ΔABC

   ∴ The congruent sides are AB and AC respectively

  • CB =12 ft. 4 in.=148 in.
  • AB=\frac{3}{4}CB =111 in. =9 ft. 3 in.
  • AC=\frac{3}{4}CB =111 in. =9 ft. 3 in.

    ∵  <em>Perimeter of ΔABC</em> =AB+AC+CB

                                        =9 ft. 3 in. + 9 ft. 3 in. +12 ft. 4 in.

                                        =30 ft. 10 in.

    2. In ΔDEF

    ∴ The congruent sides are DE and DF respectively

  • DE =  6 ft. 3 in. =75 in.
  • DF =  6 ft. 3 in. =75 in.
  • Let the length of FE is equal to x
  • 0.75FE =DE =DF
  • 0.75x = 6 ft. 3 in. =75 in.
  • x =100 in. =8 ft. 4 in.

   ∵ <em>Perimeter of ΔDEF</em> =DE+DF+FE

                                        = 6 ft. 3 in. +6 ft. 3 in. +8 ft. 4 in.

                                        = 20 ft. 10 in.

    3. In ΔJKL

    ∴ The congruent sides are JL and KL respectively

  • JK = x+3
  • KL =4x-17
  • JL  =6x-45
  • JL≅KL
  • 4x-17 =6x-45  . . . . . . . . . . . . . . . . . . . . . . . (1)
  • Subracting 4x from both sides from eq 1
  • -17 =2x-45
  • Adding 45 on both the sides
  • 28 =2x
  • Dividing by 2 on both sides
  • 14 =x
  • JK = 14+3 =17
  • KL = 4×14-17 =39
  • JL = 6×14-45 =39

   ∵ <em>The dimensions of the ΔJKL are 39,39 and 17.</em>

6 0
3 years ago
Labor Picture
oksian1 [2.3K]

Answer:

  9.9

Step-by-step explanation:

The table tells you numbers who "want" a job. The question asks you for numbers "looking for a job". Those may be different things. The question cannot be answered from the table, unless you make the assumption that those wanting a job are actually looking for a job.

  total looking = (working and looking) + (not working and looking)

  = 5.2 million + 4.7 million

  = 9.9 million . . . . looking for a job

7 0
3 years ago
Convert 9 over 4 into mixed numbers
Maslowich
9/4
well, 4 times 2 is 8, there would be a quarter left over
answer: 2 1/4

so it would be 2 and a quarter.

Hope this helped :)


6 0
3 years ago
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