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alexira [117]
3 years ago
13

If BE−→− bisects ∠ABD and m∠EBD = 32°, find m∠ABD.

Mathematics
2 answers:
Eva8 [605]3 years ago
8 0

Check the picture below.

zvonat [6]3 years ago
4 0

Answer:

m\angle ABD=64^{\circ}

Step-by-step explanation:

We have been given that segment BE bisects \angle ABD and m\angle EBD=32^{\circ}. We are asked to find the measure of angle ABD.

Since BE is angle bisector of angle ABD, so measure of angle EBD will be equal to measure of angle ABE.

The measure of angle ABD will be 2 times the measure of angle EBD.

m\angle ABD=2\times m\angle EBD

m\angle ABD=2\times 32^{\circ}

m\angle ABD=64^{\circ}

Therefore, the measure of angle ABD is 64 degrees.

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bulgar [2K]

Answer:

-.32

Step-by-step explanation:

3 0
3 years ago
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A bag contains 1 blue, 2 green, and 3 red marbles, as shown. What is the probability of drawing a green marble out of the bag wi
Doss [256]

ANSWER

P(G)=  \frac{1}{3}

EXPLANATION

The number of green marbles in the bag is

n(G) = 2

The total number of marbles in the bag is

n(S)=1+2+3 = 6

The probability of selecting a green marble from the bag without looking is

P(G)=  \frac{n(G)}{n(S)}

Substitute the values to get,

P(G)=  \frac{2}{6}

P(G)=  \frac{1}{3}

8 0
3 years ago
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In the rhombus, m angle 1 = 18x, m angle 2 = x+y and m angle 3 = 30z. Find the value of x+y+z. The diagram is not drawn to scale
Ratling [72]

The value of x+y+z = 93

<u>Explanation:</u>

<u></u>

angle 1 = 18x

angle 2 = x+y

angle 3 = 30z

In rhombus, the diagonals intersect at 90°

Therefore,

angle 1 : 18x = 90

                  x = 90/18 = 5

angle 2: x+y = 90

              5+y = 90

                  y = 85

angle 3: 30z = 90

                   z = 90/30 = 3

Value of x+y+z = 5+85+3 = 93

Thus, the value of x+y+z = 93

             

5 0
3 years ago
What’s this answer?
ANTONII [103]

Answer:

x=2, y=1

Step-by-step explanation:

The left and right sides are equal

7x-2 = 5x+2

Subtract 5x from each side

7x -5x-2 = 5x-5x+2

2x-2 = 2

Add 2 to each side

2x -2+2 = 2+2

2x = 4

Divide by 2

2x/2 = 4/2

x =2

The top and the bottom are the same length

6x+y = 7x-1

6(2) +y = 7(2)-1

12 +y = 14-1

Subtract 12 from each side

12 +y-12 = 13-12

y = 1

4 0
3 years ago
Select all expressions that represent the area of the given triangle
Mice21 [21]

Answer:

A=1/2(12x16)

Step-by-step explanation:

because it's the area of the square divided by two

3 0
3 years ago
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