x
−
3
4
=
8
Which value of
x
satisfies this equation?

Answer:

D. x = 7

Step-by-step explanation:

Midsegment of a trapezium = ½(sum of the lengths of the parallel bases) => Trapezoid midsegment theorem

Thus:

QR = ½(NO + MP)

QR = 14

NO = 8

MP = 2x + 6

Plug in the values into the equation

14 = ½(8 + 2x + 6)

14 × 2 = ½(8 + 2x + 6)×2

28 = 8 + 2x + 6

28 = 14 + 2x

28 - 14 = 14 + 2x - 14

14 = 2x

14/2 = 2x/2

7 = x

x = 7

Answer:

x ≈ 2879.4 m

Step-by-step explanation:

Measure of ∠DAC = 10°

Measure of ∠DAB = 90°

Measure of ∠BAC = 90° - 10° = 80°

By applying cosine rule in ΔABC,

cos(80°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

              = [tex]\frac{AB}{AC}[/tex]

0.17365 = [tex]\frac{500}{x}[/tex]

x = [tex]\frac{500}{0.17365}[/tex]

x = 2879.36

x ≈ 2879.4 m

Answer:

ik you in MS 118 but still the answer is 9/10

Step-by-step explanation:

multiply by the reciprocal 3/2.

3/5x3/2=9/10

Answer:

it is 24inches

Step-by-step explanation:

33/11=3

3x8=24

Answer:

The rotation is 270 degrees counterclockwise

Step-by-step explanation:

Given

See attachment

Required

Degrees of rotation

From the question, the rotation is counterclockwise

Using point B and B' as points of reference.

[tex]B =(2,5)[/tex]

[tex]B' =(5,-2)[/tex]

The rule that supports the above is: rotation by 270 degrees counterclockwise.

Because the rule is:

[tex](x,y) ==>(y,-x)[/tex]

Answer:

a₃₁

Step-by-step explanation:

The terms have a common difference between consecutive terms, that is

d = 84 - 87 = 81 - 84 = - 3

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 87 and d = - 3 , then

[tex]a_{n}[/tex] = 87 - 3(n - 1) = 87 - 3n + 3 = 90 - 3n

To find when [tex]a_{n}[/tex] < 0 , solve

90 - 3n < 0 ( subtract 90 from both sides )

- 3n < - 90

Divide both sides by - 3, reversing the symbol as a result of dividing by a negative quantity, then

n > 30

Thus the 31st term will be the first negative term

Answer:

A≈1628.55

Step-by-step explanation:

A=(6ah)+3sqr3a^2=6·8·27+3·sqr3·8^2≈1628.55376

Answer:

M = 12.5

Step-by-step explanation:

Simple,

2 times 12.5 is 25

4 times 12.5 is 50

6 times 12.5 is 75

8 times 12.5 is 100

The "m" is just a variable. Kinda like a question mark.

Answer:

I drew the graph

I hope this helps you

Answer:

-2x2 y1/3

Step-by-step explanation:

Answer:

8x+2

Step-by-step explanation:

I think that's right I hope it is

The area of the quadrilateral is (x² + 9x + 14).

Given is a quadrilateral with height equal to (x+7) and the base is (x+2), we need to find the area of the quadrilateral,

So, to find the area of a quadrilateral, we need to know the lengths of both the height and the base.

In this case, the height is given as (x+7) and the base is given as (x+2).

The formula to find the area of a quadrilateral is:

Area = (base × height)

Let's substitute the given values into the formula and solve for the area:

Area = [(x+2) × (x+7)]

To simplify the expression, let's expand the brackets:

Area = (x² + 7x + 2x + 14)

= (x² + 9x + 14)

So, the area of the quadrilateral is (x² + 9x + 14).

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Answer:

x=6

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

[tex]{3}^{4x} = {3}^{3( x+ 2)} [/tex]

4x = 3(x + 2)

4x = 3x + 6

4x - 3x = 6

x = 6

Answer:

y = − 20

x = none

Step-by-step explanation:

There is no X intercepts

-32 + 12 = 20

Answer:

the distance between the points is 9.84885780 and so on so if you round to the nearest tenth it would be 9.8 :)

Step-by-step explanation:

Answer:

Lateral area:

Surface area:

Answer:  498.96 cm³

Lateral area:

Surface area:

A = πr(r + l) = 3.24*7(7 + 15) = 498.96 cm³

Answer:

B. C. E.

Explanation:

In answer B, 4b means four of that variable, so you would add them all together, same goes with answer C. In answer E, you would use the "multiply by the reciprocal" rule, which basically means to keep the b as it is, change division to multiplication, and flip [tex]\frac{1}{4}[/tex].

Answer:

None. There can't be any dirt in it because it's a hole.

Step-by-step explanation:

Answer:

A bullet fired from a gun has a muzzle velocity of 3510 km per hour how long dies it take to travel 100m

Step-by-step explanation:

Given :

Velocity of bullet = 3510 km/hr

Distance traveled = 100m

Converting distance in meter to kilometer :

(100 / 1000) km = 0.1 km

Recall :

Speed = Distance /time

Time taken = Distance / speed

Therefore,

Time taken = Distance / speed

Time taken = 0.1 km / 3510 km/hr

Time = 2.849 * 10^-5 hour

Answer:

H0 : Number of homeowners stays the same

H1: Number of homeowners increases.

Step-by-step explanation:

The hypothesis is to test if the level of home ownership rises or doesn't.

For this type of experiment,

The null hypothesis is the current level of home ownership.

The alternative hypothesis which is usually the opposite of the null is meant to challenge the claim of the Null. Hence, the null hypothesis will support the claim or hypothesis of the study, which is that the number of homeowners increases, hence, does not remain the same.

Therefore,

H0 : Number of homeowners stays the same

H1: Number of homeowners increases.

Answer:

‏‏‎ ‎

Step-by-step explanation:

#1 - they look cool

#2 - they can swim

#3 - they eat fish

Answer: 91

is that a x or multiply?

The duration of time period required is 2.4 years.

Compound interest simply means that the interest associated with a bank account, loan, or investment increases exponentially over time.

Given that, A person invests 3500 dollars in a bank. The bank pays 6.25% interest compounded annually.

A = P(1+r/100)ⁿ

n = time

A = amount

P = principal

11100 = 3500(1+0.0625)ⁿ

3.171 = (1.0625)ⁿ

Taking log to both sides,

log(3.171) = nlog(1.0625)

n = 2.40

Hence, the required time is 2.4 years.

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Answer:

NOPE

Step-by-step explanation:

Answer: 15

Step-by-step explanation:

I don't think its possible to do this... you have to have 2 equations