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Ymorist [56]
3 years ago
12

Find the measure of NP on the triangle

Mathematics
2 answers:
Anettt [7]3 years ago
7 0

Answer:

NP = 1.25

Step-by-step explanation:

Since the triangles are similar, we can use ratios to solve

5                      8

------------ = ----------------

5+NP            8+2

5                      8

------------ = ----------------

5+NP            10

Using cross products

5*10 = 8(5+NP)

Distribute

50 = 40+8NP

Subtract 40 from each side

50-40 = 8NP

10 = 8NP

Divide by 8

10/8 = NP

1.25 = MP

taurus [48]3 years ago
3 0

Answer:

B

Step-by-step explanation:

Let NP be x

MR/MQ = MP/MN

(8+2)/8 = (5+x)/5

10/8 × 5 = 5 + x

5 + x = 6.25

x = 1.25

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5y + (86 - y) = 86 + 4y
Viefleur [7K]

Answer:

All real values, (-∞, ∞)

Step-by-step explanation:

<u>Step 1:  Distribute</u>

5y + (86 - y) = 86 + 4y

5y + 86 - y = 86 + 4y

<u>Step 2:  Combine like terms</u>

5y + 86 - y = 86 + 4y

4y + 86 = 86 + 4y

<u>Step 3:  Subtract 4y from both sides</u>

4y + 86 - 4y = 86 + 4y - 4y

86 = 86

<u>Step 4:  Subtract 86 from both sides</u>

0 = 0

Answer:  All real values, (-∞, ∞)

8 0
3 years ago
Read 2 more answers
Determine if y varies directly with x. Give the constant of variation, when appropriate. (picture below)
maxonik [38]

Based on the given variation, y does not vary directly with x and the constant of variation are 8, 3.2 and 1.25 respectively.

<h3>Variation</h3>

y = k × x

where,

k = constant of proportionality

y = -40

x = -5

y = k × x

-40 = k × -5

-40 = -5k

k = -40/-5

k = 8

when,

y = 8 and x = 2.5

y = k × x

8 = k × 2.5

8 = 2.5k

k = 8/2.5

k = 3.2

when,

y = 5 and x = 4

y = k × x

5 = k × 4

5 = 4k

k = 5/4

k = 1.25

Learn more about variation:

brainly.com/question/6499629

#SPJ1

5 0
1 year ago
The price of tickets for the dance was 1 ticket for $6 or 2 tickets for $8 she looked inside the cash box and found $200 and tic
Aleks04 [339]

We can say that exchanging one couple's ticket for an individual's ticket would increase the money in the cash box from 200 to 202 and it would result in an even number of couples tickets sold.

<u>Step-by-step explanation:</u>

Let the number of tickets sold to the individuals = s

Let the number of tickets sold to the couples = c

According to the question,

s + c = 46   (  Equation 1)

Since each individual's ticket is $6, the total amount of money made by selling tickets to individuals is 6s.

Similarly, since each ticket sold to couples is $8, the total amount of money made by selling tickets to couples is 8c.

So,

6 s + 8 c = 200        ( Equation 2)

On solving both the equations, we get

c = 38 and s = 8

Therefore, 8 tickets were sold to individuals and 38 tickets were sold to the couples.

5 0
2 years ago
Use the euclidean algorithm to find integers $x$ and $y$ such that $164x + 37y = 1,$ with the smallest possible positive value o
Advocard [28]

Well, let's use the Euclidean algorithm:

164 = 4×37 + 16

37 = 2×16 + 5

16 = 3×5 + 1

Then working backwards,

1 = 16 - 3×5

1 = 16 - 3×(37 - 2×16) = 7×16 - 3×37

1 = 7×(164 - 4×37) - 3×37 = 7×164 - 31×37

so that x = 7 and y = -31.

8 0
1 year ago
What is p+1 +8 = 8p+16
padilas [110]

Answer:

Step-by-step explanation:

p+1 +8 = 8p+16

p+9 = 8p+16

9-16 = 8p-p

-7=7p

-7/7 =p

-1=p

5 0
2 years ago
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