Answer:
36
Step-by-step explanation:
All angles are right angles here. You know one is 54 so the other unknown side in that quadrant has to be 90 - 54.
As angle B is going to be the same as the angle that you just located in that quadrant, the answer is 36
Answer:
-1m-6
Step-by-step explanation:
1. Multiply -3*m = -3m
2. Multiply -3* 2 = -6
3. Combine like terms : 4m + -3m = -1m
4. -1m - 6
The values of x and y are ⇒ x = 4 and y = 9
Step-by-step explanation:
In a parallelogram
1. Each two opposite sides are equal and parallel
2. Each two opposite angles are equal
3. Its two diagonals bisect each other
In parallelogram ABCD
∵ Its diagonal AC and BD intersect each other at point E
∵ AC and DE bisect each other at E
∴ E is the mid-point of AC
∴ AE = EC
∴ E is the mid-point of BD
∴ DE = EB
∵ AE = x + 5
∵ EC = y
∵ AE = EC
∴ x + 5 = y ⇒ (1)
∵ DE = 2x + 3
∵ EB = y + 2
∵ DE = EB
∴ 2x + 3 = y + 2
- Subtract 2 from both sides
∴ 2x + 1 = y ⇒ (2)
Substitute y in equation (2) by equation (1)
∵ 2x + 1 = x + 5
- Subtract x from both sides
∴ x + 1 = 5
- Subtract 1 from both sides
∴ x = 4
Substitute the value of x in equation (1) to find y
∵ x + 5 = y
∵ x = 4
∴ 4 + 5 = y
∴ y = 9
The values of x and y are ⇒ x = 4 and y = 9
Learn more:
You can learn more about parallelograms in brainly.com/question/6779145
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<h3>Answer: 8x+3y = 16</h3>
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Work Shown:
x = number of hours spent running
8x = distance he runs (since he runs at 8 mph)
y = number of hours spent walking
3y = distance he walks (he walks at a speed of 3 mph)
8x+3y = total distance = 16 miles
8x+3y = 16
This equation is in standard form Ax+By = C
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Extra Info
Solving for y will get
8x+3y = 16
3y = -8x+16
y = (-8x+16)/3
y = (-8x)/3+16/3
y = (-8/3)x+16/3
This is in slope intercept form y = mx+b
m = -8/3 is the slope
b = 16/3 is the y intercept
Answer:
-10
Step-by-step explanation:
If the equation is 2 x 3+4 x 2-3 x 2- 6(x)= . Than the equation would turn into 2 x 3+4 x 2-3 x 2- 6(3) which equals -10.
