Answer: 44 degrees
Step-by-step explanation:
<u>Statement </u> <u>Reason</u>
1. AB = x + 16 1. Given
BC = 4x + 11
AC = 77
2. AB + BC = AC 2. Segment Addition Postulate
3. x + 16 + 4x + 11 = 77 3. Substitution Property
4. 5x + 27 = 77 4. Simplification <em>(added like terms)</em>
5. 5x = 50 5. Subtraction Property of Equality
6. x = 10 6. Division Property of Equality
7. AB = 10 + 16 7. Substitution Property
8. AB = 26 8. Simplification <em>(added like terms)</em>
Answer:
7. ∠CBD = 100°
8. ∠CBD = ∠BCE = 100°; ∠CED = ∠BDE = 80°
Step-by-step explanation:
7. We presume the angles at A are congruent, so that each is 180°/9 = 20°.
Then the congruent base angles of isosceles triangle ABC will be ...
∠B = ∠C = (180° -20°)/2 = 80°
The angle of interest, ∠CBD is the supplement of ∠ABC, so is ...
∠CBD = 180° -80°
∠CBD = 100°
__
8. In the isosceles trapezoid, base angles are congruent, and angles on the same end are supplementary:
∠CBD = ∠BCE = 100°
∠CED = ∠BDE = 80°
Answer:
i hope this helps
Step-by-step explanation:
2
-16=0
+16 +16
2 =16
÷2 ÷2
= 8
= 
x=
-5 +9=0
-9 -9
-5=-9
÷-5 ÷-5
=1.8
= 
x=
6 -15=27
+15 +15
6 =42
÷6 ÷6
=7
= 
x=
Answer:
70%
Step-by-step explanation:
The number of students with an April birthday and candles is in the upper left, 14. That’s the “part” Percentage is part/whole x 100.
To figure out the “whole”, you need to add up all the students in the first row of the table, because those are the April birthdays. 14 + 6 = 20
14/20 = 0.7 x 100 = 70%
