Subtract the expressions

(4x + 6) - (2x + 3)

options:

2x + 9


6x + 9


2x + 3


6x + 3

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:

the answer is 24

Step-by-step explanation:

i got it correct on my test

Answer:

B

Step-by-step explanation:

Answer:

B. -1/2

Step-by-step explanation:

See picture

Answer:

I'm guessing 25.

Step-by-step explanation:

i don't know the relation between those two triangles, but they look like they're congruent so the side lengths would be the same and 3+12+10=25

Answer:

5x - 4y - 6z - 23

Step-by-step explanation:

combine like terms

Answer:

5x-4y-6z-23

Step-by-step explanation:

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:

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:

true

Step-by-step explanation:

sinA² + cosA²=1

⇔(1/2)² + cosA²=1

⇔cosA=±(√3/2)

Yes, the triangle is a right triangle.

A triangle is called a right triangle if it has an angle measuring 90°.

Given that in a triangle if Sin A = 1/2 and Cos A = √3/2, then the triangle is a right triangle,

So,

Sin A = 1/2

Sin A = Sin 60°

A = 60°

Also, we know that the sine and cosine of an angle is complementary,

So,

Sin A = Cos (90-A)

Therefore, Cos(90-30)° = Cos 30° = √3/2

Therefore, ABC is a right triangle.

Hence the triangle is a right triangle.

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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:

Step-by-step explanation:

Price of 1000 bricks = Rs. 3500

Price of 1 brick = 3500 / 1000

                        = Rs. 3.5

Price of 6000 bricks = Rs. 3.5 * 6000

                                 = Rs. 21000

Hope it will help :)

Step-by-step explanation:

let the bricks be x

Bricks

6000 x

1000 3500

3500×6000=1000×x

21000000/1000=X

21000 Answer

Answer: 64 inches

Step-by-step explanation:

Got it right

Answer:

[tex]\Huge\boxed{x=8}[/tex]

Step-by-step explanation:

Hello There!

Remember the sum of all of the angles in a triangle is 180

so we can use this equation to solve for x

180 = 50 + 60 + 8x + 6

now we solve for x

step 1 combine like terms

50 + 60 + 6 = 116

now we have

180=8x+116

step 2 subtract 116 from each side

116 - 116 cancels out

180 - 116  = 64

now we have

8x = 64

step 3 divide each side by 8

8x/8=x

64/8=8

we're left with x = 8

Answer:

1) 7+x-5

2)9y-18

3)(n/2)(4n)

2(w^3+23)

Answer:

x= -3

Step-by-step explanation:

if u want explain let me know

Answer:

x = -3

Step-by-step explanation:

5x + 20 = 5

Subtract 20 from both sides

5x + 20 - 20 = 5 -20

{If two numbers have different sign, subtract and the result will have the sign of the bigger number. 20 -5 = 15, bigger number is 20, so -15}

              5x  = - 15

Divide both sides by 5

              5x/5 = -15/5

x = - 3

(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.

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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:

V = 249,000(0.929)^t

Step-by-step explanation:

100% - 7.1% = 92.9% = 0.929

0.929 must be raised to t, the number of years.

V = 249,000(0.929)^t

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:

1.575

Step-by-step explanation:

0.75 x 2.1 = 1.575

Hope that helps!

Answer:

1.575

Step-by-step explanation:

Answer:

3.5

Step-by-step explanation:

Answer:

3x + 9 = 45

Step-by-step explanation:

3 shirts at x dollars each cost 3x

lunch costs 9

altogether she spent 3x + 9

she spent 45

3x + 9 = 45

Answer:

I belive the awnser is 16

Step-by-step explanation:

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:

I say its 4.4

Step-by-step explanation:

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:

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:

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