What is the volume of the right rectangular prism below?

Given:

QRST is an isosceles trapezoid with RS||QT.

To find:

The value of x, angle R and angle T.

Solution:

If a transversal line intersect two parallel lines then the sum of same sides interior angles is 180 degrees.

[tex]m\angle Q+m\angle R=180[/tex]

[tex](6x-22)+(8x+34)=180[/tex]

[tex]14x+12=180[/tex]

[tex]14x=180-12[/tex]

[tex]14x=168[/tex]

Divide both sides by 14.

[tex]x=\dfrac{168}{14}[/tex]

[tex]x=12[/tex]

Now,

[tex]m\angle R=(8x+34)^\circ[/tex]

[tex]m\angle R=(8(12)+34)^\circ[/tex]

[tex]m\angle R=(96+34)^\circ[/tex]

[tex]m\angle R=130^\circ[/tex]

We know that the base angles of an isosceles triangle are equal.

[tex]m\angle T=m\angle Q=(6x-22)^\circ[/tex]

[tex]m\angle T=(6(12)-22)^\circ[/tex]

[tex]m\angle T=(72-22)^\circ[/tex]

[tex]m\angle T=50^\circ[/tex]

Therefore, [tex]x=12,\ m\angle R=130^\circ[/tex] and [tex]m\angle T=50^\circ[/tex].

Answer:

$21.98

Step-by-step explanation:

Answer:

172.40

Step-by-step explanation:

Answer:

x=6, y=-6. (6, -6). I used elimination method.

Step-by-step explanation:

-4x-2y=-12

4x+8y=-24

-------------------

6y=-36

y=-36/6

y=-6

-4x-2(-6)=-12

-4x+12=-12

-4x=-12-12

-4x=-24

4x=24

x=24/4

x=6

Answer:

B

Step-by-step explanation:

Answer:

B. -1/2

Step-by-step explanation:

See picture

Answer:

c < 7.

Step-by-step explanation:

Number of carrots c is less than 7.

9514 1404 393

Answer:

  see below for the graph

Step-by-step explanation:

We can specify the location of the minimum and the axis of symmetry using the vertex form of the quadratic equation:

  y = a(x -h)² +k . . . . . . . vertex (h, k); scale factor 'a'

We can put the given values into the equation to see what 'a' needs to be to make the function have the desired y-intercept.

  -3 = a(0 -(-2))² +(-5)

  2 = 4a . . . . add 5 and simplify

  a = 1/2 . . . . divide by 4

The equation for the desired function can be ...

  y = 1/2(x +2)² -5

Answer:

D i did the test and got a 100

Step-by-step explanation:

Answer:

5x - 4y - 6z - 23

Step-by-step explanation:

combine like terms

Answer:

5x-4y-6z-23

Step-by-step explanation:

Answer:

{Monday, Tuesday, Wednesday, Thursday}

Step-by-step explanation:

First we need to get the complement of B i.e B'

B' are the set in the Universal set but that are not in B

B' = {Monday, Tuesday, Wednesday, Thursday}

A= {Monday, Tuesday, Wednesday, Thursday, Friday}

A intersect B ' are the days of the week that are common to both sets;

A intersect B ' = {Monday, Tuesday, Wednesday, Thursday}

Answer: 64 inches

Step-by-step explanation:

Got it right

Answer:

B.

Step-by-step explanation:

x represents the amount of guests going to the birthday party, with the amount of money per guest being 12. You would multiply those two together, but as we do not know the total amount of guests, we keep it as a variable. 125 is the amount before the guests even know about the party, so therefore, you would need to use that equation.

Answer:

10.5 hours

Step-by-step explanation:

42/4 = 10.5

Answer:

So, the question means that if we add the number of tiger shark teeth and the sand shark teeth and subtract it from the total number of teeth, we will get the number of bull shark teeth. And, the number of bull shark teeth is 4.

Step-by-step explanation:

So, the question means that if we add the number of tiger shark teeth and the sand shark teeth and subtract it from the total number of teeth, we will get the number of bull shark teeth.

Since Christian has 18 shark teeth, and 6 are tiger shark teeth, 8 are sand shark teeth and the rest are bull shark teeth.

Let x represent the number of bull shark teeth.

So, total number of shark teeth = number of tiger shark teeth + number of sand shark teeth + number of bull shark teeth.

18 = 6 + 8 + x

18 = 14 + x

subtracting 14 from both sides, we have

18 - 14 = 14 - 14 + x

4 = 0 + x

4 = x

x = 4

So, the number of bull shark teeth is 4.

Answer:

constant of proportionality is 3.5, just divide the y column by the x column

Answer:

there you go:)

..................

Answer:

42.84cm

Step-by-step explanation:

The perimeter is the sum of all the side length and the circumference of the semicircle

circumference of the semicircle = 2πr/2 = πr

circumference of the semicircle = 3.14 * (12/2)

circumference of the semicircle = 3.14 * 6

circumference of the semicircle = 18.84cm

Perimeter of the figure = 10cm + 6cm + 8cm + 18.84cm

Perimeter of the figure = 42.84cm (to nearest hundredth)

Answer:

88cm²

Step-by-step explanation:

8 x 8 = 64

14 - 8 = 6

6 x 8 = 48

48 ÷ 2 = 24

64 + 24 = 88

Answer:

It is B

Step-by-step explanation:

If you subract the numbers(year5-year4=#) and you gather all of the # and add them, then subract the years again, you end up with B.

Answer:

A

Step-by-step explanation:

slope of line ⊥ to the line 4x-2y=6 or 2y=4x-6 or y=2x-3 is -1/2

eq. of line through (6,-8) with slope -1/2 is

y+8=-1/2(x-6)=-1/2 x+3

or y=-1/2 x+3-8

or y=-1/2 x-5

Answer:

y=x+6

Step-by-step explanation:

y=mx+b

The slope (m) can be found by putting the rise (1) over the run (1).

y=1x+b

The y-intercept is 6, so therefore b is 6.

y=x+6

Answer:

3.5

Step-by-step explanation:

Answer: c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

the answer is 24

Step-by-step explanation:

i got it correct on my test

Answer:

C. The degree of dependence among the observation is negligible.

Step-by-step explanation:

The conditions for performing a t-procedure when constructing a t-interval are;

1) The samples observation should be independent of each other

2) The use of a random sample or experiment for the procedure

3) Ensure the normality of the data of the dependent variable

Given that surveys usually involve sampling without replacement from a population which is finite can not be taken as independent Bernoulli trials however, it is allowable to still consider samples independent when they are less than 10% the size of population

Therefore, the reason for the condition is to ensure that the population to sample size ratio is large enough and that the degree of dependence among the observation is negligible.

Answer:

103 percent

just divide 20 by 15 and multiply the answer by 100 to convert to percentage form bro

Answer:

a6,-3

b1,-2

c4,1

Step-by-step explanation:

The image of the polygon after a reflection in the line y=x is has vertices at A'(-3, 6), B'(-2, 1) and C'(1, 4) as shown in the diagram attached.

Transformation is the movement of a point from the initial location to a new location. Types of transformation is rotation, reflection, translation and dilation.

Reflection is the flipping of a figure. If a point A(x, y) is reflected about the line y = x, the new point would be at A'(y, x)

Given the polygon with vertices at A(6, -3), B(1, -2) and C(4, 1). The image of the polygon after a reflection in the line y=x has vertices at:

A'(-3, 6), B'(-2, 1) and C'(1, 4)

The image of the polygon is attached

Find out more at: https://brainly.com/question/15487308

Answer:

theyre correct

Step-by-step explanation: