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3 years ago

URGENT! Are these congruent? If so by which theorem

Mathematics

1 answer:

timurjin [86]3 years ago

8 0

Answer:

They are congruent by the AAS theorem!

Step-by-step explanation:

Sides EF and HJ are congruent, angles E and J are congruent and angles EGF and HGJ are congruent because they are vertical angles. Therefore, the triangles are congruent by the AAS theorem!

Hope this helps you :)

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Which graph represents a function with a domain of all real numbers greater than or equal to -7 and less than 2?

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Step-by-step explanation:

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3 years ago

Write the equation for a line that is perpendicular to the line 8x-4y=12 and passes through the orgin

Delicious77 [7]

Answer:

y = - $\frac{1}{2}$ x

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 8x - 4y = 12 into this form

Subtract 4x from both sides

- 4y = - 8x + 12 ( divide all terms by - 4 )

y = 2x - 3 ← in slope- intercept form

with slope m = 2

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{2}$

Since the line passes through the origin then c = 0

y = - $\frac{1}{2}$ x ← equation of perpendicular line

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3 years ago

The square of a number consists of digits 0, 2, 3, 5. Find the number.

ladessa [460]

Answer: 55

Square: 3025

55^2 = 3025

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3 years ago

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Kiera and Trina joined a gym. The gym offers two different payment plans. Kiera chose Plan 1 and pays $25 a month and no fee to

Lady_Fox [76]

Answer:

t1 = $25m

t2 = $(10m + 100)

Step-by-step explanation:

Here we want to write equations

Kiera chose plan 1

$25 monthly and no joining fee

So the amount after m months will be 25 * m

t1 = $25m

Trina chose plan 2

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after m months , total payment will be

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Thus t1 = $25m and t2 = $(10m + 100)

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3 years ago

Find the vertices and foci of the hyperbola with equation quantity x plus 5 squared divided by 36 minus the quantity of y plus 1

Sphinxa [80]

Answer:

Vertices: (1,-1), (-11, -1); Foci: (-15, -1), (5, -1)

Step-by-step explanation:

Center at (-5,-1) because of the plus 5 added to the x and the plus 1 added to the y.

a(squared)=36 which means a=6 and a=distance from center to vertices so add and subtract 6 from the x coordinate since this is a horizontal hyperbola, which is (1,-1), (-11,-1). From there you dont need to find the focus since there is only one option for this;

Vertices: (1,-1), (-11, -1); Foci: (-15, -1), (5, -1)

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3 years ago

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