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skad [1K]
2 years ago
13

in the figure below, point B is on line segment DC. If AB = BC, what is the measure of angle ABE? FREE BRAINlIEST FOR THE FIRST

PERSON TO ANSWER! Very desperate!

Mathematics
2 answers:
ASHA 777 [7]2 years ago
7 0

Answer:

  (A)  20°

Step-by-step explanation:

The relations between angles in a triangle and along a line can be used to find the measure of angle ABE.

<h3>Triangle angles</h3>

The congruence AB = BC tells you that ΔABC is isosceles, and that ∠C = ∠A = 30°. The sum of angles in a triangle is 180°, so the measure of angle ABC is ...

  ∠ABC = 180° -30° -30° = 120°

<h3>Angles on a line</h3>

The sum of angles along a line is 180°, so we have ...

  ∠DBE +∠EBA +∠ABC = 180°

  4x +2x +120° = 180°

  6x = 60° . . . . . . . . . . subtract 120°, collect terms

  2x = 20° . . . . . . . divide by 3

The measure of angle ABE is 20°.

__

The figure is drawn to scale in the attachment.

Tresset [83]2 years ago
4 0

just a quick addition to the superb posting by sqdancefan

Check the picture below.

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What is 11 feet and 8 inches plus 2 feet and 9 inches
Agata [3.3K]

Answer:

14 feet and 5 inches

Step-by-step explanation:

11 feet + 2 feet= 13 feet

9 inches + 8 inches = 17 inches

17 inches = 1 foot and 5 inches

13 + 1 = 14 feet

5 inches + 0 inches = 5 inches

7 0
3 years ago
Figure A is a scale image of Figure B, as shown.
Inessa [10]

9514 1404 393

Answer:

  x = 2

Step-by-step explanation:

Using the scale factor, we have ...

  x/8 = 0.25/1

  x = 8(0.25) . . . . multiply by 8

  x = 2

_____

<em>Additional comment</em>

I like to write proportions with the variable in the numerator. That way they are easily solved by a single multiplication. The trick is to get corresponding parts in the same positions. Here, the fractions are written ...

  B/A = smaller part / larger part = x/8 = 0.25/1

5 0
3 years ago
How many hundred of purple crayons in 148305
sdas [7]
1,483 hundreds   because 148305 divided by 100 is 1483!                                                                                                                                                                                                                                                           

4 0
3 years ago
An equilateral ∆ has sides of length 16 cm. Find the length of an altitude.
inn [45]

The length of the altitude is 8\sqrt{3}

Explanation:

Let ABC be an equilateral triangle.

It has sides of length 16 cm

Let AD be the altitude of the triangle.

We need to determine the length of an altitude.

Let AC = 16 cm and CD = 8 cm

Let us consider the right angled triangle ADC

Using the Pythagorean theorem, we have,

AC^2=AD^2+DC^2

Substituting the values, we get,

 16^2=AD^2+8^2

 256=AD^2+64

 192=AD^2

8\sqrt{3}=AD

The length of the altitude is 8\sqrt{3}

5 0
3 years ago
In a particularly sunny month, Solaire's solar panels generated 110 percent as much power as expected.What fraction of the expec
vfiekz [6]

we are given

In a particularly sunny month, Solaire's solar panels generated 110 percent as much power as expected.

so, we need to change percent into fraction to get our value

we can write

110%=\frac{110}{100}

now, we can simplify it

and we get

110%=\frac{11}{10}

so,

Solaire's solar panels generate \frac{11}{10} of the expected amount of power.............Answer

8 0
3 years ago
Read 2 more answers
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