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2 years ago

The angle bisector of ∠ACD in rhombus ABCD makes a 64° angle with the diagonal

Mathematics

1 answer:

True [87]2 years ago

3 0

Answer:

104°

Step-by-step explanation:

Even a crude diagram can be helpful. Half of angle ACD is the complement of the 64° angle made with diagonal BD. Since that complement, 26°, is half the bisected angle, which is half the measure of ∠BAD, the measure of ∠BAD must be 4×26° = 104°.

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Opposite angles of a rhombus are congruent, and each diagonal is a bisector of the angles at its endpoints. The diagonals bisect each other and meet at right angles.

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What is the remainder for 89,736 divided by 40?

tigry1 [53]

Answer: 2,243.4

Step-by-step explanation:

7 0

3 years ago

Melissa used 4 cups of sugar to bake 54 cookies. If she’s only used 1 cup of sugar, what would be an equivalent ratio of cups to

daser333 [38]

Answer:

$\frac{2}{27}$

Step-by-step explanation:

We have given that melissa used 4 cups of sugar to bake 54 cookies.

That means 1 cup of sugar will be used to bake $\frac{54}{4}=\frac{27}{2}$ by unitary method

We have to find the ratio of cups to the cookies

We are using 1 cup of sugar

And cookies will be $\frac{27}{2}$

$\text{equivalent ratio}=\frac{1}{\frac{27}{2}}=\frac{2}{27}$

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2 years ago

the volume of cube A is 216 cubic inches. the length of each edge in cube B is 2 inches longer than the length of each edge in c

Aleonysh [2.5K]

If the side lengths of B are 2x as long as the side lengths of A then the volume of B should be the volume of A^2
216^2=46,656
46,656-216=46,440

This can be more easily displayed with smaller numbers

If cube X were 2*2*2 then the volume would be 8
If cube Y were 4*4*4 then the volume would be 64
8(volume of cube X)^2=64(volume of cube Y)

7 0

3 years ago

had already graded 40 papers and he still needed to grade more. Write an equation for how many papers he is grading if he contin

OLga [1]

Y = 40 + 4m
m = minutes
y = total papers graded

6 0

3 years ago

Points R, S, and T are collinear, and S is between R and T, in addition, RS = 2x-4, ST = 3x+2, and RT = 13. Find the value of RS

Alex17521 [72]

Answer:

RS = 2

Step-by-step explanation:

Points R, S, and T are collinear, and S is between R and T, in addition, RS = 2x-4, ST = 3x+2, and RT = 13. Find the value of RS

Hence:

RS + ST = RT

2x - 4 + 3x + 2 = 13

2x + 3x - 4 + 2 = 13

5x - 2 = 13

5x = 13 + 2

5x = 15

x = 15/5

x = 3

To find the value of RS

RS = 2x-4

RS = 2 × 3 - 4

RS = 6 - 4

RS = 2

5 0

2 years ago