Because of the Vertical Angles theorem, we know that the two expressions are equal.
6x - 35 = 4x + 11
Add 35 to both sides: 6x = 4x + 46
Subtract 4x from both sides: 2x = 46
Divide by 2 on both sides: x = 23
Now, insert x into one of the equations: 6(23) - 35
138 + 35
103
103 + K = 180
Subtract 103 from both sides: K = 77
K = 77
Answer:
He missed 42 times
Step-by-step explanation:
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Well, we could put in x to make it 8x:7x
8x=48
x=6
7x=42
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Please please please give me brainliest, it would be greatly appreciated, I only need one more before I advance, thanks!
Answer: 48 books
Step-by-step explanation: Start by converting 60% to a decimal/fraction (60/100). From there, you can multiply it by the total (80) to get the answer.
Answer:
ASA
Step-by-step explanation:
Given:
Two triangles ABC and EDC such that:
AB ⊥ BD and BD ⊥ DE
C is the midpoint of BD.
The two triangles are drawn below.
Since, AB ⊥ BD and BD ⊥ DE
Therefore, the two triangles are right angled triangle. The triangle ABC is right angled at vertex B. The triangle EDC is right angled at vertex D.
Since, point C is the midpoint of the line segment BD.
Therefore, C divides the line segment BD into two equal parts.
So, segment BC ≅ segment CD (Midpoint theorem)
Now, consider the triangles ABC and EDC.
Statements Reason
1. ∠ABC ≅ ∠CDE Right angles are congruent to each other
2. BC ≅ CD Midpoint theorem. C is midpoint of BD
3. ∠ACB ≅ ∠ECD Vertically opposite angles are congruent
Therefore, the two triangles are congruent by ASA postulate.
So, the second option is correct.
Answer:
31 is the answer.
Step-by-step explanation:
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