Answer:
Step-by-step explanation:
For x:
8x = 18 - 2y
x = (18 - 2y)/8
For y:
2y = -8x + 18
y = -4x + 9
Hence, -45 is the number which when added to the given fraction will give 2/3
Further explanation:
Given fraction is:
Let x be the number which has to be added to numerator and denominator
Then
Cross-multiplying
Hence, -45 is the number which when added to the given fraction will give 2/3
Keywords: Linear equation in one variable, Cross-multiplication
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Answer:
The length of each side of the square is (2a-5)units
Step-by-step explanation:
4a^2 - 20a +25
= (2a)^2 - 20a + (-5)^2
=(2a - 5)^2
Since the length of a square given a l produces an area l^2 then the length of the side l is the square root of the area l^2
length of side is therefore square root of (2a -5)^2 which is (2a-5)
The area of a rectangle whose one side is x and the other is y is xy, the product of x and y.
(9a^2 - 16b^2)
= (3a)^2 - (4b)^2 this is the difference of two squares, the factors are therefore
= (3a + 4b) * (3a - 4b)
The dimensions of the rectangle are:
one pair of opposite sides are 3a + 4b
and the other pair of opposite side perpendicular to the first pair is 3a - 4b
Answer:
V (volume) = 30
Step-by-step explanation:
V=whl=2·3·5=30
9514 1404 393
Answer:
- SAS
- not
- SSS
- AAS
Step-by-step explanation:
Look at the angles and sides that are marked, and their relationships to each other. Shared sides are congruent to themselves. Vertical angles are congruent. The possible congruence theorems are ...
SSS SAS AAS ASA (and HL for right triangles--not applicable here)
__
1. two marked sides and the vertical angle between are congruent. The triangles are congruent by the SAS theorem.
2. only one side and angle are marked. Insufficient information. Not congruent.
3. two marked sides and the shared side are congruent. The triangles are congruent by the SSS theorem.
4. the vertical angles, the marked angles, and the marked sides are congruent. The triangles are congruent by the AAS theorem.
