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Ann [662]
3 years ago
9

Triangle ABC is a right triangle. Point D is the midpoint of side AB and point E is the midpoint of side AC. The measure of angl

e ADE is 36°. The proof, with a missing reason, proves that the measure of angle ECB is 54°. Statement Reason m∠ADE = 36° Given m∠DAE = 90° Definition of a right angle m∠AED = 54° Triangle Sum Theorem segment DE joins the midpoints of segment AB and segment AC Given segment DE is parallel to segment BC ? ∠ECB ≅ ∠AED Corresponding angles are congruent m∠ECB = 54° Substitution property Which theorem can be used to fill in the missing reason? Concurrency of Medians Theorem Isosceles Triangle Theorem Midsegment of a Triangle Theorem Triangle Inequality Theorem

Mathematics
1 answer:
butalik [34]3 years ago
7 0

Answer:

Midsegment of a Triangle Theorem

Step-by-step explanation:

Midsegment of a Triangle Theorem - is the right choice

  • <em>The Midsegment Theorem states that the segment connecting the midpoints of two sides of a triangle is parallel to the third side and half as long.</em>

<u></u>

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Which shows how to determine the volume of the pyramid? A square pyramid with a base of 3 meters by 3 meters and a height of 5 m
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Answer:

The first one

Step-by-step explanation:

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12. Angie makes $13 per hour working at a fast food restaurant. She worked 65 hours for this pay period. What was her gross pay?
3241004551 [841]

Answer:

D. $845.00

Step-by-step explanation:

$13 per hour x 65 hrs total = $845 before taxes and deduction.

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A support wire extends from the top of a 225 feet radio tower to the ground and makes an angle of 64° with the ground. How long
aniked [119]

Answer:

250.34 feet

Step-by-step explanation:

Find attached to this answer and appropriate diagram.

From this question, we can see that this is a trigonometric function

The height of the radio tower = 225 feet = Opposite side

θ = Angle 64°

In the question we are told to find the length of the wire needed to reach from the top of the tower to the ground.

From the attached diagram, we can see that that is equivalent to finding the hypotenuse.

Hence, we are using the Trigonometric function of Sine.

sin θ = Opposite side/ Hypotenuse side

sin 64 = 225 feet/ Hypotenuse

Cross multiply

sin 64 × Hypotenuse = 225 feet

Divide both sides by sin 64

Hypotenuse = 225 feet / sin 64

Hypotenuse = 250.33543661 feet

Approximately = 250.34 feet

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7 0
3 years ago
Write The Number 12.1 As A Fraction Is simplest Form
musickatia [10]
12.1=12+0.1=12+\dfrac{1}{10}=\boxed{12\frac{1}{10}}
8 0
4 years ago
I need some help please​
Mama L [17]

Answer:

109

Step-by-step explanation:

Formula

<ZHG + <IHZ = <IHG

Givens

<ZHF = 11x - 1

<IHZ = 24

<IHG = 12x + 13

Solution

11x - 1 + 24 = 12x + 13             Combine terms on the left

11x + 23 = 12x + 13                  Subtract 13 from both sides

<u>      - 13             - 13  </u>

11x + 10 = 12x                           Subtract 11x from both sides

<u>-11x           -11x</u>

        10 =   x

Answer

11x - 1 = 11*10 - 1 = 110 - 1 = 109

7 0
3 years ago
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