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2 years ago

What is the measurement of angle 1 plz help me !

Mathematics

1 answer:

Evgen [1.6K]2 years ago

6 0

Answer:

ANGLE 1 = 40°

Step-by-step explanation:

angle 1 = angle 2 ------(alternate interior angles)

2x + 20 = 3x + 10

20 - 10 = 3x - 2x

x = 10.

Angle 1 = 2x + 20 = 2(10) + 20 = 20 + 20 = 40°.

HOPE IT HELPS!!!

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2 years ago

Line segment NY has endpoints N(-11, 5) and Y(3,-3).

777dan777 [17]

Given:

Line segment NY has endpoints N(-11, 5) and Y(3,-3).

To find:

The equation of the perpendicular bisector of NY.

Solution:

Midpoint point of NY is

$Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

$Midpoint=\left(\dfrac{-11+3}{2},\dfrac{5-3}{2}\right)$

$Midpoint=\left(\dfrac{-8}{2},\dfrac{2}{2}\right)$

$Midpoint=\left(-4,1\right)$

Slope of lines NY is

$m=\dfrac{y_2-y_1}{x_2-x_1}$

$m=\dfrac{-3-5}{3-(-11)}$

$m=\dfrac{-8}{14}$

$m=\dfrac{-4}{7}$

Product of slopes of two perpendicular lines is -1. So,

$m_1\times \dfrac{-4}{7}=-1$

$m_1=\dfrac{7}{4}$

The perpendicular bisector of NY passes through (-4,1) with slope $\dfrac{7}{4}$ . So, the equation of perpendicular bisector of NY is

$y-y_1=m_1(x-x_1)$

$y-1=\dfrac{7}{4}(x-(-4))$

$y-1=\dfrac{7}{4}(x+4)$

$y-1=\dfrac{7}{4}x+7$

Add 1 on both sides.

$y=\dfrac{7}{4}x+8$

Therefore, the equation of perpendicular bisector of NY is $y=\dfrac{7}{4}x+8$ .

6 0

2 years ago

What is the area of the shape?

Tresset [83]

Answer:12 units^2

Step-by-step explanation:

2*2=4

2*2*1/2=2

2*6*1/2=6

4+2+6=12

12 units^2

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2 years ago

Anya is training for a 10k race. The table shows the distance she ran during the first 3 weeks of training. Make a conjecture ab

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3x1.2 = 3.6
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2 years ago

Can someone help me

Deffense [45]

Answer:

w = 10 cm

Step-by-step explanation:

The area (A) of the triangle is calculated as

A = $\frac{1}{2}$ base × height

here base = 6 and height = 8, thus

A = 0.5 × 6 × 8 = 3 × 8 = 24 cm²

The area of the rectangle = 5 × 24 = 120 cm²

area of rectangle = lw ( l is length, w is width )

Here l = 12, thus

120 = 12w ( divide both sides by 12 )

w = 10 cm

8 0

2 years ago