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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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Two functions are graphed on the coordinate plane.
rosijanka [135]

Answer:

Option B

Step-by-step explanation:

We can see that, from the picture provided, the graphs intersect at points( 0, 4 ) and ( - 4, 4 ), respective to functions f( x ) and g( x ). These intersection points makes each function equivalent to one another, and hence -

Function f( x ) where x = - 4 / Function g( x ) where x = - 4,

f( - 4 ) = 4,\\g( - 4 ) = 4\\----------\\f ( - 4 ) = g ( - 4 )

Respectively function f( x ) where x = 0 / Function g( x ) where x = 0,

f( 0 ) = 4,\\g( 0 ) = 4\\----------\\f ( 0 ) = g ( 0 )

<u><em>Your solution should be option b, "  f(-4) = g(-4) and f(0) = g(0) "</em></u>

7 0
3 years ago
HELP it's a maths question worth 4 marks
Ksenya-84 [330]

a = 3, b= - 4 and c = - 4

expand the left side using FOIL

(2x + 1)(ax + b) = 2ax² + 2bx + ax + b = 2ax² + x(2b + a) + b

compare the coefficients of expressions on left and right sides.

compare 2ax² + x(2b +a) + b with 6x² - 5x + c

coefficients of x² terms → 2a = 6 ⇒ a = 3

coefficients of x terms → 2b + a = - 5 → 2b + 3 = - 5 → 2b = - 8 ⇒ b = - 4

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4 0
3 years ago
About 150,000 people live in a circular region with a population density of about
morpeh [17]

Area of a circle = pi x r^2

Area of circle = 150,000/ 1578 = 95.06 square miles

95.06 = 3.14 x r ^2

Divide both sides by 3.14

R^2 = 30.27

Find the square root:

R = sqrt(30.27)

R = 5.5

The radius is c) 5.5 miles

8 0
3 years ago
In the first half of a basketball game, a player scored 9 points on free throws and then scored a number of 2-port
Mashcka [7]

Answer: I thin The first one 2r+3r+9

Step-by-step explanation: Because he scored a number of 2 port shots which means he scored more than one but the 9 points is just 9 points from free throws which gives only 1 point each and 3 port shots and much as 2 point shots so 3r also

2r+3r+ just 9

8 0
2 years ago
Calculate the area of this trapezium.<br> 7.9 cm<br> 6.2 cm<br> 10.8 cm
cestrela7 [59]

Answer:

A = 57.97 cm²

Step-by-step explanation:

The area (A) of a trapezium is calculated as

A = \frac{1}{2} h (a + b)

where h is the perpendicular height and a, b the parallel bases

Here h = 6.2, a = 10.8 and b = 7.9, thus

A = \frac{1}{2} × 6.2 × (10.8 + 7.9) = 3.1 × 18.7 = 57.97 cm²

5 0
3 years ago
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