2x+2x-26=114 blank -26=114

Which statements could you use to conclude that JKLM is a parallelogram?

telo118 [61]

Angle JML Angle LKJ & Angle MJK = MLK

Why it's correct:

In a parallelogram the opposite angles are congruent (as well as the opposite sides

7 0

3 years ago

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IM BEGGING SOMEONE PLEASE HELP!!!!

PtichkaEL [24]

Answer:

Option C. y ≤ x-2

y ≤ 50/9-(1/6)x-(1/18)x^2

Step-by-step explanation:

Please, see the attached files.

Thanks.

6 0

3 years ago

3. A balancing balloon toy is in the shape of a hemisphere (half-sphere) attached to the base of a cone. If the toy is 4ft tall

Katen [24]

Answer:

The volume of the toy is $V=5.23\ ft^3$

Step-by-step explanation:

step 1

Find the volume of the hemisphere

The volume of the hemisphere is given by the formula

$V=\frac{2}{3}\pi r^{3}$

In this problem, the wide of the toy is equal to the diameter of the hemisphere

so

$D=2\ ft$

$r=2/2=1\ ft$ ----> the radius is half the diameter

substitute

$V=\frac{2}{3} \pi (1)^{3}=\frac{2}{3} \pi\ ft^3$

step 2

Find the volume of the cone

The volume of the cone is given by

$V=\frac{1}{3}\pi r^{2}h$

we know that

The radius of the cone is the same that the radius of the hemisphere

so

$r=1\ ft$

The height of the cone is equal to subtract the radius of the hemisphere from the height of the toy

$h=4-1=3\ ft$

substitute the given values

$V=\frac{1}{3}\pi (1)^{2}(3)=\pi\ ft^3$

step 3

Find the volume of the toy

we know that

The volume of the toy, is equal to the volume of the cone plus the volume of the hemisphere.

so

$V=(\frac{2}{3} \pi+\pi)\ ft^3$

$V=(\frac{5}{3}\pi)\ ft^3$

assume

$\pi=3.14$

$V=\frac{5}{3}(3.14)=5.23\ ft^3$

5 0

3 years ago

Two liters of soda cost $2.10. How much soda do you get per dollar? Round your answer to the nearest hundredth, if necessary.

ahrayia [7]

0.95 liters per dollar

6 0

2 years ago

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"In a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides."

Harlamova29_29 [7]

Answer:

C

Step-by-step explanation:

It is provable about 180 ways, some of them quite elegant. There was a book published in the 1940s listing what they then knew. Others have been added since and it shows up in the oddest places which you can search out.

That is interesting but it does not answer your question.

A: Nothing is defined. This statement is a truth, but unproved. A is not the answer.

B: No term requires defining unless you don't know what a hypotenuse is, but that is a separate problem.

D: a postulate is a statement that is true that cannot be proven nor does it need to be. There aren't that many around in math. Euclid said "All right angles are congruent." True and not needing proof.

C: It is a theorem. This is a statement that may not be obvious and does require proof.

6 0

3 years ago