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3 years ago

The ratio of 1.5 to 33 is the same as the ratio of 4.5 to

Mathematics

1 answer:

Mandarinka [93]3 years ago

7 0

Answer:

132

Step-by-step explanation:

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You know the measure of the exterior angle which forms a linear pair with the vertex angle. Describe two ways you can find measu

aev [14]

Answer:

Step-by-step explanation:

A linear pair are two given angles whose sum is equal to $180^{o}$ .

Let the exterior angle be represented by $x^{o}$ , and the three interior angles of the triangle be represented by $a^{o}$ , $b^{o}$ and $c^{o}$ .

Assume that the vertex angle $c^{o}$ is the linear pair to the exterior angle $x^{o}$ .

i.e $x^{o}$ + $c^{o}$ = $180^{o}$ (sum of angles on a straight line)

Thus,

i. $a^{o}$ + $b^{o}$ = $x^{o}$ (sum of two opposite interior angles is equal to an exterior angle)

⇒ $a^{o}$ = $x^{o}$ - $b^{o}$

Also,

$b^{o}$ = $x^{o}$ - $a^{o}$

But,

$a^{o}$ + $b^{o}$ + $c^{o}$ = $180^{o}$ (sum of angles in a triangle)

⇒ $c^{o}$ = $180^{o}$ - ( $a^{o}$ + $b^{o}$ )

and

$a^{o}$ + $b^{o}$ = $180^{o}$ - $c^{o}$

ii. $a^{o}$ + $b^{o}$ + $c^{o}$ = $180^{o}$ (sum of angles in a triangle)

$a^{o}$ = $180^{o}$ - ( $b^{o}$ + $c^{o}$ )

Also,

$a^{o}$ + $b^{o}$ = $x^{o}$

⇒ $b^{o}$ = $x^{o}$ - $a^{o}$

$c^{o}$ = $180^{o}$ - $x^{o}$

8 0

3 years ago

Teddy is writing a proof about the figure shown on the coordinate plane below. He wants to show that quadrilateral WXYZ is a par

faltersainse [42]

B is the answer show that segments WX AND YZ have equal lengths

6 0

3 years ago

Read 2 more answers

four percent of newspaper readers wrote a letter to the editor last week. if there were 50 letters received by the editor last w

Alina [70]

Answer:

there are 1250 readers

Step-by-step explanation:

r = readers

4 percent of readers sent letter = 50 recieved letters

r * 4 percent = 50

r * .04 =50

divide by .04 on each side

r = 50/.04

r =1250

5 0

3 years ago

Read 2 more answers

Please help and provide work for help!!

Stella [2.4K]

Answer:

Step-by-step explanation:

Tri. prism:

B = base = 1/2 a c

base = 1/2 * 6 * 6 = 18

volume = Bh

v = 18*4

v = 72

Rec. prism

volume = 4*6*6

v = 144

total volume = 144+72

vt = 212

top rec. = 2*3*5=30

bot rec. = 4*5*6=120

vt = 30 + 120

vt = 150

7 0

3 years ago

Find the image of (2,-7) after a reflection over the x-axis

asambeis [7]

Answer: (2, 7)

Step-by-step explanation:

To reflect something over the x-axis, simply invert the y value. Simply turn -7 into 7.

Hope it helps <3 :)

3 0

3 years ago