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kifflom [539]
3 years ago
6

I need help Please. the question in photo

Mathematics
1 answer:
Crank3 years ago
5 0

Answer:

C

Step-by-step explanation:

Since Δ ABC is isosceles , then AB = AC and the base angles are congruent.

∠ ACB = \frac{180-50}{2} = \frac{130}{2} = 65°

∠ ACB and ∠ BCE are adjacent angles and are supplementary, thus

∠ BCE = 180° - 65° = 115° → C

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The base of 40-foot ladder is 8 feet from the wall. How high is the ladder on the wall (round to the nearest foot)
Nina [5.8K]

Given:

The base of 40-foot ladder is 8 feet from the wall.

To find:

How high is the ladder on the wall (round to the nearest foot).

Solution:

Ladder makes a right angle triangle with wall and ground.

We have,

Length of ladder (hypotenuse)= 40 foot

Base = 8 foot

We need to find the perpendicular to get the height of the ladder on the wall.

Let h be the height of the ladder on the wall.

According to the Pythagoras theorem,

Hypotenuse^2=Base^2+Perpendicular^2

(40)^2=(8)^2+(h)^2

1600=64+h^2

1600-64=h^2

1536=h^2

Taking square root on both sides.

\pm \sqrt{1536}=h

\pm 39.1918358=h

Height cannot be negative. Round to the nearest foot.

h\approx 39

Therefore, the height of the ladder on the wall is 39 foot.

5 0
3 years ago
One-third the sum of 6 and 3
irina [24]

Step-by-step explanation:

1/3(6+3)

= 1/3(9)

= 3

......

8 0
3 years ago
Read 2 more answers
What is the quotient of 5 7 ÷ 5 14 ?
KatRina [158]

Answer:

<h2><u>=</u> <u>   57 / 514  </u>    <u>(Decimal: 0.110895)</u></h2>

Step-by-step explanation:

57 / 514

<u>=   57 / 514 </u>

<u>(Decimal: 0.110895)</u>

<u></u>

<u></u>

<u></u>

<u></u>

<u></u>

<u></u>

<u></u>

<u></u>

<u></u>

<h2><u>And if that is not what you are looking for here: </u></h2><h2><u></u></h2>

Rewrite the equation as  

x /14 =  5/ 7 .  x/ 14 =  5/ 7

Multiply both sides of the equation by  

14.14  ⋅  x /14 =  14 ⋅ 5 /7

Simplify both sides of the equation.

Tap for fewer steps...

Cancel the common factor of  14 .  

Cancel the common factor.

14 ⋅  x /14 =  14 ⋅ 5 /7

Rewrite the expression.

x = 14 ⋅ 5 /7

Simplify  14 ⋅  5/ 7 .

Cancel the common factor of  7 .

Factor  7  out of  14 .

x = 7 ( 2 ) ⋅ 5/ 7

Cancel the common factor.

x = 7 ⋅  2 ⋅  5/ 7

Rewrite the expression.

x  = 2 ⋅ 5

Multiply  2  by  5 .

<u>x = 10</u>

3 0
2 years ago
Austin burns 120 calories per 30 minutes of weight training. How many calories does he burn in 90 minutes?
nadezda [96]

Answer:

360 calories

Step-by-step explanation:

360

6 0
3 years ago
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-4(50x-20)=10x+15+23
dlinn [17]

Answer:

0.2 or 1/5

Step-by-step explanation:

-4(50x - 20) = 10x + 15 + 23

-200x + 80 = 10x + 38

80 = 210x + 38

42 = 210x

0.2 = x

Hope this helps! Pls give brainliest!

3 0
3 years ago
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