Answer:
x = 4
Step-by-step explanation:
since it is a square:
8x+13 = 12x-3
reduce:
4x = 16
x = 4
Answer:
7
Step-by-step explanation:
1/2(x)=7/2
divide both sides by 1/2
x=
÷
x=
·
x=14/2=7
Answer:
y = 1/2x - 4
Step-by-step explanation:
y - (-2) = 1/2(x - 4)
y + 2 = 1/2x - 2
y = 1/2x - 4
Answer:
1
Step-by-step explanation:
LCD = 1
Equivalent Fractions with the LCD
9 = 9/1
8 = 8/1
6 = 6/1
5 = 5/1
Solution:
Rewriting input as fractions if necessary:
9/1, 8/1, 6/1, 5/1
For the denominators (1, 1, 1, 1) the least common multiple (LCM) is 1.
LCM(1, 1, 1, 1)
Therefore, the least common denominator (LCD) is 1.
Calculations to rewrite the original inputs as equivalent fractions with the LCD:
9 = 9/1 × 1/1 = 9/1
8 = 8/1 × 1/1 = 8/1
6 = 6/1 × 1/1 = 6/1
5 = 5/1 × 1/1 = 5/1
Triangle ABC is similar to triangle CEF.
<u>Explanation:</u>
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Diagram is inserted for the reference.
ABCD is a rectangle.
ABC is a right angled triangle because all the angles of the rectangle are 90◦ - (a)
CEF is a right angled triangle because FE is perpendicular to DC – (b)
In triangles ABC and CEF,
1. Angle ABC = Angle CEF = 90◦ (Both are right angles from a and b)
2. Angle BCA = Angle EFC (Alternate angles on parallel lines are equal on intersection)
Hence using Similarity property of AA (Angle, Angle), Triangle ABC and CEF are similar.
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