line m
с
D
E
T
Select all the statements that apply to this figure.
A mis perpendicular through P to T.
B C, D, E, and F are coplanar in T.
CD, P, and F are collinear.
D FC is longer than DF.
E DE and PF are coplanar in T.
Help asap please

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:

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:

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:

B

Step-by-step explanation:

Answer:

B. -1/2

Step-by-step explanation:

See picture

Answer:

y = -7

Step-by-step explanation:

This line is a horizontal line [HOY] - horizontal, 0 slope, and the equation starts with y = ___ , since it crosses at -7, then the line is y = -7

Answer:

I belive the awnser is 16

Step-by-step explanation:

Answer:

10.5 hours

Step-by-step explanation:

42/4 = 10.5

Answer:

the answer is 24

Step-by-step explanation:

i got it correct on my test

Answer:

5x - 4y - 6z - 23

Step-by-step explanation:

combine like terms

Answer:

5x-4y-6z-23

Step-by-step explanation:

Answer:

Step-by-step explanation:

x ≤ −5 means that x is less than or equal to -5, which means that -5 is a close circle.

Answer: 64 inches

Step-by-step explanation:

Got it right

Answer:

103 percent

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

Answer:

theyre correct

Step-by-step explanation:

Answer:

3.5

Step-by-step explanation:

Answer:

c < 7.

Step-by-step explanation:

Number of carrots c is less than 7.

Answer:

b

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

I am not so sure tho it's either b or d

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.

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:

33/100

Step-by-step explanation:

3/10 × 10 = 33/100

Answer: 30 correct me if I'm wrong

Step-by-step explanation:

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:

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:

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

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:

there you go:)

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

(A) Darius is at least 36 inches tall.

(C) William’s height is less than 68 inches.

(F) Darius is no more than 4 inches taller than twice William’s height.

Step-by-step explanation:

edge2022

The inequality w < 68 can be written as William’s height is less than 68 inches.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Given that, d ≥ 36, w < 68 and d ≤ 4 + 2w.

Atleast means all probabilities larger than the given probability ('at least') Atmost means all probabilities smaller than the given probability ('at most')

Here, d ≥ 36

Darius is at least 36 inches tall.

w < 68

William’s height is less than 68 inches.

d ≤ 4 + 2w

Darius is no more than 4 inches taller than twice William’s height.

Therefore, the inequality w < 68 can be written as William’s height is less than 68 inches.

To learn more about the inequalities visit:

https://brainly.com/question/20383699.

#SPJ7

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