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2 years ago

11

Which angle refers to the same angle as ∠ D E F

1 answer:

Aleks04 [339]2 years ago

5 0

Answer:

It is angle FED which is equal to angle DEF

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Need help with inscribed angles If M

Bogdan [553]

Given:

In the given circle O, BC is diameter, OA is radius, DC is a chord parallel to chord BA and $m\angle BCD=30^\circ$ .

To find:

The $m\angle AOB$ .

Solution:

If a transversal line intersect two parallel lines, then the alternate interior angles are congruent.

We have, DC is parallel to BA and BC is the transversal line.

$\angle OBA\cong \angle BCD$ [Alternate interior angles]

$m\angle OBA=m\angle BCD$

$m\angle OBA=30^\circ$

In triangle AOB, OA and OB are radii of the circle O. It means OA=OB and triangle AOB is an isosceles triangle.

We know that base angles of an isosceles triangle are congruent.

$\angle OAB\cong \angle OBA$ [Base angles of an isosceles triangle]

$m\angle OAB=m\angle OBA$

$m\angle OAB=30^\circ$

In triangle AOB,

$m\angle OAB+m\angle OBA+m\angle AOB=180^\circ$

$30^\circ+30^\circ+m\angle AOB=180^\circ$

$60^\circ+m\angle AOB=180^\circ$

$m\angle AOB=180^\circ-60^\circ$

$m\angle AOB=120^\circ$

Therefore, the measure of angle AOB is 120 degrees.

6 0

2 years ago

Solve the following quadratic equations by any method. The solutions are:

Nataly_w [17]

Answer:

Option C .

Step-by-step explanation:

We would like to solve the below <u>quadratic </u><u>equation</u><u> </u>,

$\longrightarrow f(x) = x^2-12x +32$

Step 1 : <u>E</u><u>q</u><u>u</u><u>a</u><u>t</u><u>e</u><u> </u><u>f</u><u>(</u><u>x</u><u>)</u><u> </u><u>w</u><u>i</u><u>t</u><u>h</u><u> </u><u>0</u><u> </u><u>:</u><u>-</u>

$\longrightarrow f(x) = 0\\$

$\longrightarrow x^2-12x + 32=0$

Step 2 : <u>F</u><u>a</u><u>c</u><u>t</u><u>o</u><u>r</u><u>i</u><u>s</u><u>e</u><u> </u><u>t</u><u>h</u><u>e</u><u> </u><u>R</u><u>H</u><u>S</u><u> </u><u>:</u><u>-</u>

$\longrightarrow x^2-8x - 4x +32=0\\$

$\longrightarrow x(x-8)-4(x-8)=0\\$

$\longrightarrow (x-8)(x-4)=0\\$

Step 3 : <u>E</u><u>q</u><u>u</u><u>a</u><u>t</u><u>e</u><u> </u><u>e</u><u>a</u><u>c</u><u>h</u><u> </u><u>f</u><u>a</u><u>c</u><u>t</u><u>o</u><u>r</u><u> </u><u>w</u><u>i</u><u>t</u><u>h</u><u> </u><u>0</u><u> </u><u>:</u><u>-</u>

$\longrightarrow x - 8 = 0\\ \qquad x -4=0$

$\longrightarrow x = 8 \qquad x = 4$

$\longrightarrow \underline{\underline{\boldsymbol{ x = 8,4}}}$

<u>H</u><u>e</u><u>n</u><u>c</u><u>e</u><u> </u><u>o</u><u>p</u><u>t</u><u>i</u><u>o</u><u>n</u><u> </u><u>C</u><u> </u><u>i</u><u>s</u><u> </u><u>c</u><u>o</u><u>r</u><u>r</u><u>e</u><u>c</u><u>t</u><u> </u><u>.</u>

8 0

2 years ago

Alonzo needs 5/6 of a yard of fabric to cover a chair. He plans to cover 8 chairs. What is the least amount of fabric he will ne

stepan [7]

You have to do 5/6 of 8
first 8÷6=1.3 (or remainder 3)
1.3×5=6.5
So that means Alonzo will need 6.5m at least amount of fabric.
Hope this helped! :)

6 0

3 years ago

Whats the square root of 45

Nady [450]

Answer:

6.71

Step-by-step explanation:

6.7082039325

Round it.

6.71

6 0

2 years ago

Elza [17]

Answer:

1. b and g 2.a end e 3. d and f 4. g and h

Step-by-step explanation:

4 0

2 years ago