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°
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8. In the isosceles trapezoid, base angles are congruent, and angles on the same end are supplementary:
∠CBD = ∠BCE = 100°
∠CED = ∠BDE = 80°
Can you take a better pic i cant see the whole problem
Answer:
1) 10
2) 16
Step-by-step explanation:
1) 2x+15=37-2
2x+15=35
2x=35-15
2x=20
2 2
x=10
2)10x-8=9x+8
10x-9x=8+8
x=16
Hope this helps ❤
Answer:
y = √{(a - x)/2b}
Step-by-step explanation:
x=a-2by²
2by² = a - x
divide through by 2b
y² = (a - x)/2b
y = √{(a - x)/2b}
Blank 1: Given
Blank 2 : AD is parallel to BC
Blank 3: <3≅<2
Blank 4: Transitive property of convergence
Blank 5: Definition of Bisect
Step-by-step explanation:
We need to fill in the blanks from the given options.
Blank 1:
ABCD is a parallelogram
This is given
So, blank 1: Given
Blank 2:
A parallelogram have parallel sides i.e in the given parallelogram AD is parallel to BC and AB is parallel to DC
So, Blank 2 : AD is parallel to BC
Blank 3:
We are given <3≅<2
So, Blank 3: <3≅<2
Blank 4:
We know, <1≅<3 and <3≅<2 using transitive property (A≅B and B≅C then A≅C)
So, <1 ≅ <2 is due to transitive property of convergence
Blank 4: Transitive property of convergence
Blank 5:
DC bisects <ADE
A bisect is an line or angle that divides into exactly two parts.
So, Blank 5: Definition of Bisect
Keywords: parallelogram, bisection
Learn more about parallelogram at:
#learnwithBrainly
