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3 years ago

If BE bisects _ABD and mŁABE = 28°, find m_ABD.

Mathematics

1 answer:

slamgirl [31]3 years ago

8 0

Answer:

m<ABD = 56 degrees

Step-by-step explanation:

If a segment/ray/line bisects an angle, it divides it into 2 equal parts

Since BE bisects ABD, it will divide it into 2 equal parts, one of which is 28 degrees (given)

Now we can find the measure of ABD by doing 28*2=56

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Wilson frees home security system he has an 11% commission on every system he sells wislson sale for this month totaled $4264.00

Finger [1]

Wilson's commission is $469.04

Step-by-step explanation:

Given,

Commission = 11%

Total sales worth = $4264.00

Amount of commission = 11% of total sales worth

$Amount\ of\ commission=\frac{11}{100}*4264\\\\Amount\ of\ commission=\frac{46904}{100}\\\\Amount\ of\ commission=\$469.04$

Wilson's commission is $469.04

Keywords: commission, division

Learn more about division at:

#LearnwithBrainly

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3 years ago

What is the approximate area of a sector given O= 56 degrees with a diameter of 12m?

jeyben [28]

Area of sector is 17.584 meters

Solution:

Given that we have to find the approximate area of a sector given O= 56 degrees with a diameter of 12m

Diameter = 12 m

Radius = Diameter / 2 = 6 m

An angle of 56 degrees is the fraction $\frac{56}{360}$ of the whole rotation

A sector of a circle with a sector angle of 56 degrees is therefore also the fraction $\frac{56}{360}$ of the circle

The area of the sector will therefore also be $\frac{56}{360}$ of the area

$\text{ sector area } = \frac{56}{360} \times \pi r^2\\\\\text{ sector area } = \frac{56}{360} \times 3.14 \times 6^2\\\\\text{ sector area } = 17.584$

Thus area of sector is 17.584 meters

3 0

3 years ago

A 4-foot tall person standing with her back to the sun casts an 6-foot long shadow.

e-lub [12.9K]

Answer: $\alpha=34\°$

Step-by-step explanation:

1. Based on the information given in the problem, you can draw the right triangle shown in the figure attached.

2. Keeping the informationn given in the problem, you can calculate the angle that the sum makes with the ground ( $\alpha$ )as you can see below:

$arctan\alpha=\frac{opposite}{adjacent}$

Where:

$opposite=4\\adjacent=6$

3. Then:

$arctan\alpha=\frac{4}{6}$

$\alpha=34\°$

7 0

3 years ago

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Algebraic fractions x² + 5x+4 / x²+ 4x + 3

Tresset [83]

Answer:

$\frac{x+4}{x+3}$

Step-by-step explanation:

Given

$\frac{x^2+5x + 4}{x^2+4x+3}$ ← factor numerator and denominator

= $\frac{(x+1)(x+4)}{(x+1)(x+3)}$ ← cancel common factor (x + 1) on numerator/ denominator

= $\frac{x+4}{x+3}$

8 0

3 years ago

8x10to the 3rd power

asambeis [7]

Answer:

512000

Step-by-step explanation:

8*10

80*80*80

7 0

3 years ago

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