Answer:
<h2><u><em>
17/12</em></u></h2>
Step-by-step explanation:
x - 3/4 = 2/3
x = 2/3 + 3/4
x = 17/12
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check
17/12 - 3/4 = 2/3
the answer is good
Answer: 1333.25
Step-by-step explanation: The area of the rectangle is 23x23 = 529.
Area of the square is 804.25. So add them toget her and you get your answer.
Answer:
(7w + 9x)(7w - 9x)
Step-by-step explanation:
Given expression;
49w² - 81x²
Now to solve the problem;
49w² - 81x² = 7²w² - 9²x²
Using differences of two squares;
x² - y² = (x + y)(x - y)
So;
7²w² - 9²x² = (7w + 9x)(7w - 9x)
Answer:
1) y=18
2)y=-0.18
Step-by-step explanation:
1) y-15=3. Add 15 on both sides.
y=18
2)-2.1+5y=-3. Add 2.1 on both sides
5y=-0.9. Divide 5 on both sides
y=-0.18
Answer: 1.
Given: S is the midpoint of RT
PR=PT
To Prove: PRS=PTS
Step-by-step explanation:
If PR=PT in a triangle PRT, then the triangle is isosceles triangle.
Therefore, ∠PRT=∠PTR (opposite angles of an isosceles triangle are equal)
In ▲PRS and ▲PTS
PR=PT
∠PRT=∠PTR
PS=PS (PS is common)
therefore, ▲PRS≅▲PTS
Therefore, ∠PRS=∠PTS
Hence proved.
Answer: 2.
Given: E is the midpoint of AB and CD.
To Prove: AEC=BED
Step-by-step explanation:
If AB and CD are the diagonals of rectangle, then
diagonals AB=CD, sides AC=BD and AD=BC
In ▲AEC and ▲BED,
∠AEC=∠BED(vertically opposite angles)
AE=BE
AC=BD
therefore, ▲AEC≅▲BED
Therefore, ∠AEC=∠BED
Hence Proved.
