All categories

2 years ago

Please help me!!! Bsbebabnababwbabs

Mathematics

1 answer:

Alona [7]2 years ago

3 0

Step-by-step explanation:

since the other angles are equal to each other, both triangles, TQR and TSR, are identical. they are just oriented differently.

but that also means that both angles, Q and S, are identical too.

so,

2x² = 3x² - 64

64 = x²

x = 8

and therefore, both angles are 128°.

You might be interested in

15x + 2x can be written as _____.<br> x(15 + 2x)<br> (15 + 2)x<br> (15x + 2x)x

Triss [41]

2x+15x you can just switch the two.

6 0

3 years ago

Read 2 more answers

The population of a small town in central Florida has shown a linear decline in the years 2001-2012. In 2001 the population was

earnstyle [38]

Answer:

Step-by-step explanation:

First of all, to keep our numbers manageable, we are going to let year 2001 = 0 so year 2012 = 11. The coordinates that result from these years/population numbers are (0, 22200) and (11, 13950). Since this linear, we can plug those 2 coordinate pairs into the slope equation to find the rate at which the population is decreasing in people per year:

$m=\frac{13950-22200}{11-0}=\frac{-8250}{11}=-750\frac{people}{year}$ That means that the town is losing people at the rate of 750 per year. We can use that slop along with one of the coordinate points to write the linear equation representing this situation:

$y-22200=-750(x-0)$ and

y = -750x + 22200. That answers part A.

Now for B we need to find y when x = 13 (remember we let year 2001 = 0, so year 2014 = 13):

y = -750(13) + 22200 so

y = 12450 people in the year 2014

6 0

2 years ago

XYZ is a dilation of triangle ABC by a scale factor of 5. Which of the following proportions verified that triangle ABC and XYZ

Dima020 [189]

Answer:

C. AB/XY = AC/XZ

Step-by-step explanation:

Dilation:

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. The original figure either stretches or shrinks by a certain factor.

In the problem, the dilation is by a factor of 5 and we can see that ABC shrinks to form XYZ.

So, ABC and XYZ are similar triangles which means that the ratio of their corresponding sides will be equal:

AB/XY = AC/XZ = BC/YZ = 5

5 0

3 years ago

Read 2 more answers

Multiply 3 1/2 x 3 1/2 what is it ???

Andrej [43]

Answer:

12 1/4

Step-by-step explanation:

convert fractionj into decimals then cvert product into fraction

6 0

3 years ago

Read 2 more answers

A cylindrical canister contains three tennis balls. Assume the tennis balls touch the sides of the canister and the top and bott

sweet-ann [11.9K]

Ok, so we know that teh diameters of the 3 tennis balls added up equals the height of the canister

also, since the tennis balls touch the sides, the diameter of the tennis ball=diameter of the base

so what we do is
canister volume-3tennisballvolume=wasted space

normally alot of the equations are using radius so
2.7=diameter
diameter=2r
d/2=r
2.7/2=r
1.35=r

since we are to aprox volume to hundreth. use 3.14=pi

volume of cylinder=hpir^2
volume of sphere (tennis ball)=volume of spere= $\frac{4}{3}pir^{3}$

first find volume of cylinder

h=3 times diameter of 1 tennis ball=3 times 2.7=8.1
r=1.35
vofcylinder=8.1 times 3.14 times 1.35^2
v=25.434 times1.8225
v=46.353465 (keep as many digits a possible for accuracy)

volume of tennis balls=volume of shpere times 3
v= $\frac{4}{3}pir^{3}$ times 3
and we can see that the 4/3 and the 3 cancel to get 4
v= $4pir^{3}$
v= $4pi1.35^{3}$
v=4(3.14)(2.460375)
v=30.90231

so we have
volume of canister=46.353465 in^3
volume of tennis balls=30.90231 in^3
subtract
wasted space=46.353465-30.90231
wasted space=15.451155
round to hundreth
15.45

wasted space=15.45 in^3

8 0

3 years ago