If the area of a parallelogram is found by multiplying the base times the height, A=bh.

Mathematics

1 answer:

Ostrovityanka [42]3 years ago

5 0

Answer:

A: 96

Step-by-step explanation:

Multiply 12 by 8.

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What is the inverse of f(x)=4x+5?

cestrela7 [59]

Answer:

Step-by-step explanation:

swap y and x in the function. that is

$x = f(y)$

we get x=4y+5

Solve for y

(x-5)/4=y

$f ^{ - 1}(x) = \frac{1}{4} (x - 5)$

3 0

2 years ago

The isosceles trapezoid is part of an isosceles triangle with a 32° vertex angle. What is the measure of an acute base angle of

nevsk [136]

Answer:

acute base angle = 74° , obtuse base angle = 106°

Step-by-step explanation:

Since the large triangle is isosceles with vertex angle (top angle) is 32, then the bottom 2 angles would be same (let it be x):

We know angles of triangle add up to 180, so we have:

x + x + 32 = 180

2x = 180 - 32

2x = 148

x = 148/2

x = 74

This 74 degree angle is the base acute angle of the isosceles trapezoid (lower portion). We also know opposite angles of isosceles trapezoid are supplementary (add up to 180), thus

obtuse angle + 74 = 180

obtuse angle (base) = 180 - 74 = 106

Thus, acute base angle = 74° , obtuse base angle = 106°

6 0

3 years ago

b. Sixty-five pounds of candy was divided into four different boxes. The second box contained twice the amount of the first box.

Ainat [17]

First box = 14 pounds

Second box = 2x = 28 pounds

Third Box = x+2= 16 pounds

Fourth box = x/2 = 7 pounds

Step-by-step explanation:

Here we have , Sixty-five pounds of candy was divided into four different boxes. The second box contained twice the amount of the first box. The third box contained two more pounds than the first box. The last box contained one-fourth the amount in the second box. We need to find How much candy was in each box. Let's find out:

We have a total of 65 pounds of candy ! Let in first box we have x pounds so , second box contained twice the amount of the first box i.e.

⇒ $2x$