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2 years ago

Lines EC and HF are parallel CDG is congruent to dgh what is the measure of CDG

Mathematics

1 answer:

Verizon [17]2 years ago

5 0

Angle ADC and EDG are congruent(vertical angles)
Same side interior angles are =180
2x+4x-30=180
6x-30=180
6x=210
x=35
CDG is congruent to DGH(alternate interior)
4x-30
4(35)-30
140-30
=110

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IF Triangle DEF JKL, find KL.

s344n2d4d5 [400]

Answer:

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

$\frac{KL}{EF}$ = $\frac{JK}{DE}$ , substitute values

$\frac{6x+3}{x+11}$ = $\frac{25}{10}$ ( cross- multiply )

10(6x + 3) = 25(x + 11) ← distribute parenthesis on both sides

60x + 30 = 25x + 275 ( subtract 25x from both sides )

35x + 30 = 275 ( subtract 30 from both sides )

35x = 245 ( divide both sides by 35 )

x = 7

Then

KL = 6x + 3 = 6(7) + 3 = 42 + 3 = 45 → b

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2 years ago

Yalll n-4 = 3n + 6 do me a favah

Otrada [13]

<h2>Answer:</h2><h2>n=-5</h2>

n-4=3n+6

n−4=3n+6

Solve

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to both sides of the equation

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n-4=3n+6

n−4=3n+6

−

n-4+{\color{#c92786}{4}}=3n+6+{\color{#c92786}{4}}

n−4+4=3n+6+4

Simplify

Subtract

from both sides of the equation

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Divide both sides of the equation by the same term

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5 0

3 years ago

Read 2 more answers

The center of a circle lies on the line y = 4x + 1 and is tangent to the x-axis at (−3,0) . What is the equation of the circle i

Hunter-Best [27]

Answer:

$(x+3)^2+(y+11)^2=121$

Step-by-step explanation:

Consider a sketch of the problem as shown in the picture, where:

Blue line is given by y = 4x + 1.
Point B is the center of the circle.
Point A is (-3, 0).

Since the center of the circle lies on the line y = 4x +1 and is tangent to the x-axis at point A, then its radius BA is perpendicular to the x-axis. To find the coordinates of point B, we must replace x = -3 into the blue line equation: y = 4x(-3) + 1 = -11.

So, we know that the center of the circle is at B=(-3, -11). And furthermore, the radius BA is of length r=11.

Since the <em>general equation of the circle</em> of radius lenght r centered at (h, k) is given by

$(x-h)^2+(y-k)^2=r^2$

then with h = -3, k = -11 and r= 11, the equation of our circle is

$(x+3)^2+(y+11)^2=121$

5 0

2 years ago

The lifespan of a guinea pig is 8 years shorter than the lifespan of a puma. Write a subtraction equation that you could use to

KiRa [710]

Answer: p-8

Step-by-step explanation:first thins problem is impossible without knowing the lifespan of a puma. But if you knew it oh let’s say it was 20 you would subtract the puma by 8.

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2 years ago

Find the LCM of the numbers 12, 17 using the prime factorization

Makovka662 [10]

LCM of 12 and 17 = 204

Hope this helps!

3 0

3 years ago