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Leni [432]
3 years ago
9

What type of angles are ECH and FCG?

Mathematics
2 answers:
Darina [25.2K]3 years ago
5 0

ECH is an acute angle.

FCG is also an acute angle.

Elenna [48]3 years ago
5 0

Answer:

Vertical angles

Step-by-step explanation:

Vertical angles are angles formed by two intersecting lines, which the angles are facing the opposite direction. Also the angles are on the same vertice (point).

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For what value of c does x^2−2x−c=4 have exactly one real solution?<br> PLEASE HELP!!!!!!!
Paul [167]

Answer:

-5

Step-by-step explanation:

Moving all terms of the quadratic to one side, we have

x^2-2x-(c+4)=0.

A quadratic has one real solution when the discriminant is equal to 0. In a quadratic ax^2+bx+d, the discriminant is \sqrt{b^2-4ad}.

(The discriminant is more commonly known as \sqrt{b^2-4ac}, but I changed the variable since we already have a c in the quadratic given.)

In the quadratic above, we have a=1, b=-2, and d=-(c+4). Plugging this into the formula for the discriminant, we have

\sqrt{(-2)^2-4(1)(-(c+4)).

Using the distributive property to expand and simplifying, the expression becomes

\sqrt{4-4(-c-4)}=\sqrt{4+4c+16}\\~~~~~~~~~~~~~~~~~~~~~~=\sqrt{20+4c}\\~~~~~~~~~~~~~~~~~~~~~~=\sqrt{4}\cdot\sqrt{5+c}\\~~~~~~~~~~~~~~~~~~~~~~=2\sqrt{c+5}.

Setting the discriminant equal to 0 gives

2\sqrt{c+5}=0.

We can then solve the equation as usual: first, divide by 2 on both sides:

\sqrt{c+5}=0.

Squaring both sides gives

c+5=0,

and subtracting 5 from both sides, we have

\boxed{c=-5}.

3 0
2 years ago
Find the area of the figure below 8 inches, 5 inches
Daniel [21]

Answer:

ITS 40

Step-by-step explanation:its 8 because 8x5 is 40:5 10 15 20 25 30 35 40

4 0
2 years ago
A packing box is a rectangular prism with volume 2 m3.
Firlakuza [10]

Answer:

The hight of the box is 1.2 m

Step-by-step explanation:

250cm= 2.5m

100cm= 1m

2.5x1=2.5

3/2.5=1.2

2.5 x 1 x 1.2=3m^{3}

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3 years ago
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1075 minutes commuting to work every day.

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What is 5 3/4 hours after 11:32pm
ASHA 777 [7]
5:17 Am

11:32 + 5 is 4. 32 min plus 45 is 77-60 (which is an hour) is 17 minutes.
4 0
3 years ago
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