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Mkey [24]
3 years ago
8

The base and the height of a rectangle are represented by the expressions below.

Mathematics
1 answer:
PIT_PIT [208]3 years ago
7 0
The length of the base is 27 and the length of the height is 17.

To find the answer, you need to add up each side twice and set it equal to 88.

x-6+x-6+x+4+x+4=88

That is equal to: 4x - 4 = 88

Add 4 to both sides: 4x = 92

Divide by 4: x = 23

Now plug 23 in for x:

Base: 23 + 4 = 27
Height: 23-6=17
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5 0
2 years ago
Consider a parallelogram in which one side is 3 inches long, another side measures 4 inches, and the measurement of one angle is
Musya8 [376]

9514 1404 393

Answer:

  (a) one parallelogram

  (b) opposite sides are 3 inches and 4 inches. Opposite angles are 45° and 135°

  (c) yes, all side lengths can be determined, see (b)

Step-by-step explanation:

Opposite sides of a parallelogram are the same length, so if one side is 3 inches, so is the opposite side. Similarly, if one side is 4 inches, so is the opposite side. If sides have different lengths, they must be adjacent sides. The given numbers tell us the lengths of all of the sides.

The 4 inch sides are adjacent to the 3 inch sides. Thus the angle between a 4 inch side and a 3 inch side must be 45°. Opposite angles are congruent, and adjacent angles are supplementary, so specifying one angle specifies them all.

Only one parallelogram can be formed with these sides and angles. (The acute angle can be at the left end or the right end of the long side. This gives rise to two possible congruent orientations of the parallelogram. Because these are congruent, we claim only one parallelogram is possible. Each is a reflection of the other.)

8 0
3 years ago
Write a verbal expression for 23f
Darya [45]
Twenty three times a number f
7 0
3 years ago
Read 2 more answers
The value of y when x=5
Molodets [167]
D. 35 is the answer. Since we know that 14=2k based on the knowledge given in the first part of the equation, we can solve for K. We learn that K=7. Then, we can substitute K into the second equation: y=(7)(5) which is 35.
8 0
2 years ago
Equivalent expression for 18x and 9y
alukav5142 [94]
18x+9y
9x+y
x+1/9y
2x+4.5y
x+2.25y
4 0
3 years ago
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