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melisa1 [442]
3 years ago
13

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 ang

le ADE is 36°. Triangle ABC with segment DE. Angle ADE measures 36 degrees. The following flowchart with missing statements and reasons proves that the measure of angle ECB is 54°: Statement, Measure of angle ADE is 36 degrees, Reason, Given, and Statement, Measure of angle DAE is 90 degrees, Reason, Definition of right angle, leading to Statement 1 and Reason 2, which further leads to Statement, Measure of angle ECB is 54 degrees, Reason, Substitution Property. Statement, Segment DE joins the midpoints of segment AB and AC, Reason, Given, leading to Statement, Segment DE is parallel to segment BC, Reason, Midsegment theorem, which leads to Angle ECB is congruent to angle AED, Reason 3, which further leads to Statement, Measure of angle ECB is 54 degrees, Reason, Substitution Property. Which statement and reason can be used to fill in the numbered blank spaces?
Mathematics
1 answer:
Ugo [173]3 years ago
3 0

Answer:

1.Measure of angle AED is 54 degrees

2.Triangle Sum Theorem

3. Corresponding Angles Theorem.

Step-by-step explanation:

I got it right on my test. Good Luck!

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sleet_krkn [62]

Hello!

√7 - y = 6 <=>

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Good luck! :)

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3 years ago
b+4=2b-5, could someone help me with this question please, step by step because I have a quiz in math on friday, thank you!
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<span>"Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 4 + b + -2b = -5 + 2b + -2b Combine like terms: b + -2b = -1b 4 + -1b = -5 + 2b + -2b Combine like terms: 2b + -2b = 0 4 + -1b = -5 + 0 4 + -1b = -5 Add '-4' to each side of the equation. 4 + -4 + -1b = -5 + -4 Combine like terms: 4 + -4 = 0 0 + -1b = -5 + -4 -1b = -5 + -4 Combine like terms: -5 + -4 = -9 -1b = -9 Divide each side by '-1'. b = 9 Simplifying b = 9"- geteasysolution.com</span>
8 0
3 years ago
If angle DCA measures 50 degrees, what does angle ACB measure?
vitfil [10]

Answer:

Part 1:

Angle DCB is a right angle.

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Angle ACB = 90 - angle DCA = 90-50=40

Answer is option C. 40

===========================

Part 2:

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6 0
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HACTEHA [7]

Answer:

2.5 or 5/2

Step-by-step explanation:

The formula for the area of a triangle is \dfrac{bh}{2}, where b represents the length of the base and h represents the length of the height. With this in mind, you can set up the following equation:

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Hope this helps!

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3 years ago
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Tip:

Use this app to help you more and faster ( Socratic) it has a picture of the owl but it helps u with any math problem s.

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