Based on the triangle sum theorem, exterior angle theorem, the true statements are:
m∠5 + m∠6 = 180°
m∠2 + m∠3 = m∠6
m∠2 + m∠3 + m∠5 = 180°
<h3>What is the
Triangle Sum Theorem and the Exterior Angle Theorem?</h3>
According to the triangle sum theorem, m∠2 + m∠3 + m∠5 = 180°.
Also, based on the exterior angle theorem, m∠2 + m∠3 = m∠6.
∠5 and ∠6 are a pair of linear angles, therefore: m∠5 + m∠6 = 180°.
In summary, the true statements about the diagram given are:
- m∠5 + m∠6 = 180°
- m∠2 + m∠3 = m∠6
- m∠2 + m∠3 + m∠5 = 180°
Learn more about the triangle sum theorem on:
brainly.com/question/7696843
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- Step-by-step explanation:
12g +21 and3(4g +7)
12g + 21 and( 3×4g=12g+3×7=21)
12g+21 and 12g+21,,
Answer: 3/2
Step-by-step explanation:
To find the slope, you want to take the two points and plug it into the formula 
. That will find the slope. The points are (-5,-4) and (-1,2).
Now, we know that the slope is 
.
Answer:
Question 2 = 15 drinks
Question 3 = 7/12
Step-by-step explanation:
Question 2:
For every drink, there are three sizes
Ratio = 1:3
There are 5 flavors
Multiply each side by 5
5:15
15 drinks
Question 3:
5 red, 6 yellow, 8 blue, 3 orange, 2 purple
Possible outcomes = 5 + 6 + 8 + 3 + 2 = 24 possible outcomes
Favourable outcomes = 6 + 8 = 14 favourable outcomes
Fraction = 14/24 = 7/12
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Step-by-step explanation:
Complete the proof of the Pythagorean theorem is given below.
Statement Reason
1. ΔABC is a right triangle, with a 1. Given
right angle at ∠C
2. Draw an altitude from point C 2. From a point not on a line, exactly
to AB one perpendicular can be drawn through the point to the line
3. ∠CDB and ∠CDA are right 3. Definition of altitude
angles
4. ∠BCA ≅ ∠BDC 4. All right angles are congruent
5. ∠B ≅ ∠B 5. 
6. ΔCBA ~ ΔDBC 6. AA Similarity Postulate
7. 
7. 
8. 
8. 
9. ∠CDA ≅ ∠BCA 9. 
10. ∠A ≅ ∠A 10.
11. ΔCBA ~ ΔDBA 11. AA Similarity Postulate
12. 
12. 
13. 
13.
14. 
14. 
15. 
15. Distributive Property
16. 
16. 
17. 
18. 
