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3 years ago

Please help asap 40 pts

Mathematics

2 answers:

lakkis [162]3 years ago

7 0

Answer: D

Step-by-step explanation:

It seems there is two ways to solve this, remember that this is just one of them.

The triangle to the left is an isosceles triangle by definition. It is given that two of its sides are equal.

The angles opposite the equal sides in an isosceles triangle are congruent. It is given that one of these angles is 70 degrees, so the other one must be 70 degrees as well.

This angle is opposite to Angle Y. Vertical angles are congruent, so Angle Y must be 70 degrees.

D is the answer.

ale4655 [162]3 years ago

3 0

Answer:

Step-by-step explanation:

The base angles of the isosceles triangle at the top are both 70 degrees.

That means the angle vertically from angle y is 70 degrees. We know that vertical angles are equal so y must be 70 degrees

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Find the length of QP given Q is the midpoint of XF, PQ =2X+1, XF=7X-4, PF=X

nadezda [96]

Answer:

Therefore the length of QP = 3.4 units

Step-by-step explanation:

Given:

PQ = 2x + 1

XF = 7x - 4

PF = x

Q is the mid poimt of XF

∴ XQ = QF

QF = PQ - PF ..........( Q - F - P )

= 2x + 1 - x

∴ QF = x + 1

∴ XQ = QF = x + 1

TO Find:

QP = ?

Solution:

By Addition Property we have

$XP = XQ + QF+PF ..........(X-Q-F-P)\\\\$

$XF + PF =XQ + QF+PF ..........(X-Q-F-P)\\$

Substituting the given values in above equation we get

(7x - 4) + x = (x +1) + (x +1) + x

8x -4 = 3x +2

8x - 3x + 4 + 2

5x = 6

∴ $x = \frac{6}{5}$

Now we require

QP = (2x + 1)

∴ $QP = 2\times \frac{6}{5} +1\\\\QP = \frac{12+5}{5} \\\\QP =\frac{17}{5} \\\\\therefore QP = 3.4\ unit$

Therefore the length of QP = 3.4 units

3 0

3 years ago

3 is what percentage of 12?

marin [14]

Answer:

25%

Step-by-step explanation:

First you have the fraction of 3/12 and need to turn it into a decimal. So to do that you divide 3 by 12 = 0.25. So your percent is 25%

6 0

3 years ago

At a pizza competition, Davonne at two more than twice as many slices as the runner-up. If davonne at 11 slices, then how many s

alexira [117]

The runner up ate 4.5 slices

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3 years ago

An empty cylindrical vase with a radius of 8 cm and a height of 9 cm is filled with 6 cm^3 of sand every 15 seconds. At the same

Andru [333]

General Idea:

The volume of cylinder is given by $\pi r^{2} h$ , where r is the radius and h is the height of the cylinder.

Applying the concept:

Step 1: We need to find the volume of full cylinder with the given dimensions using the formula.

Volume of full cylinder $=\pi r^{2} h=\pi* 8^{2} *9=576\pi cm^{3}$

Volume of half cylinder $=\frac{576\pi }{2} =288\pi cm^{3}$

Step 2: Let x be the number of minutes of filling the sand.

$6 cm^{3}$ of sand filled every 15 seconds, there are four 15 seconds in a minute.

So volume of sand filled in 1 minute $= 6*4 cm^{3} = 24 cm^{3}$ .

$8 cm^{3}$ of sand taken out of cylindrical vase every minute.

Net volume of sand filled in 1 minute = Volume of sand filled in the vase in one minute - Volume of sand taken out in 1 minute

Net volume of sand filled in 1 minute $=24 cm^{3} - 8cm^{3}=16cm^{3}$

Volume of sand filled in x minutes $= 16x$ .

We need to set up an equation to find the number of minutes need to fill half the volume in cylindrical vase.

$16x = 288\pi \\ \\ x=\frac{288\pi}{16} \\ \\ x=18\pi \\ \\ x=57 minutes$

Conclusion:

The number of minutes required for the base be half filled with sand is 57

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3 years ago

Solve for m<br>practice test

svlad2 [7]

Answer:M= 1.24

Step-by-step explanation:2m + 1.24 = 3.6

M = 1.24

7 0

3 years ago