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Paraphin [41]
3 years ago
7

What is the value of x? What is the length of MP? Show your work.

Mathematics
1 answer:
Sati [7]3 years ago
8 0

Answer:

These two triangles are similar by AA rule

Step-by-step explanation:

Therefore jl÷mp=jk÷mn

20÷4x-4=25÷30

Now I hope u understand what to do.

I hope u will follow me and make this the brainliest.

With best wishes,

Mesa

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Which inequality represents the value of x that ensures triangle abc exists?
olasank [31]

Answer:

Option A.

Step-by-step explanation:

According to triangle inequality theorem, a triangle exists if the sum of two sides is greater that third side.

Apply this theorem on each combination.

Case I: (2x+4)+6x>18

8x+4>18

8x>14

x>\dfrac{14}{8}

x>\dfrac{7}{4}      ...(1)

Case II: (2x+4)+18>6x

2x+22>6x

22>4x

\dfrac{22}{4}>x

\dfrac{11}{2}>x     ...(2)

Case III: 6x+18>2x+4

6x-2x>4-18

4x>-14

x>-\dfrac{14}{4}

x>-\dfrac{7}{2}     ...(3)

On combining (1), (2) and (3), we get

\dfrac{7}{4}

Therefore, the correct option is A.

3 0
3 years ago
Nadia has £5 to buy pencils and rulers. Pencils are 8p each. Rulers are 30p each. She says “I will buy 15 pencils. Then I will b
guapka [62]

Answer:

Total pencils: 17

Total rulers: 15

Step-by-step explanation:

"I will buy 15 pencils."

15 * 8p = £1.20

15 pencils

"Then I will buy as many rulers as possible."

£5 - £1.20 = £3.80

£3.80/30p = 12 remainder 20p

12 rulers

"With my change, I will buy more pencils.”

20p/8p = 2 remainder 4 p

2 pencils

Total pencils: 17

Total rulers: 15

3 0
3 years ago
270 peaches are placed into three groups: small peaches,
Ghella [55]

Answer:

$0.45

Step-by-step explanation:

ratio is 2:4:3

total is 9

270 ÷ 9 = 30

smoll

60 × 0.25 = $15

med

120 × 0.30 = $36

Big

91.50 - 15 - 36 = 40.5

40.5 ÷ 90 = $0.45

4 0
3 years ago
Rita started the day with r apps. then she deleted 5 apps and still had twice as many apps as Cora has. write an equation that r
lianna [129]

Answer:

Rita had r apps as the start of the day

After she deleted 5 apps,

equation for apps of cora = (r-5)

Equation for apps of Rita = 2 (r-5)

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
If g(x)=2x−8
Trava [24]

Answer:

D

Step-by-step explanation:

Since it said UP which is the positive direction, then you add 4 with -8, which equals to -4

g(x)=2x-4

6 0
3 years ago
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