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goldfiish [28.3K]
3 years ago
14

In parallelogram IFGH, mF = (x + 20° and mi (4x – 10) Find the value of x.

Mathematics
1 answer:
sveta [45]3 years ago
6 0

Answer:

x = 34

Step-by-step explanation:

4x - 10 + x + 20 = 180

5x + 10 = 180

5x = 170

x = 34

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If 18 is subtracted from twice the square of an integer, the
Sergeu [11.5K]

Answer:

-3/2

Step-by-step explanation:

Let x = the integer:

2x^2 - 18 = 9x

2x^2 - 9x - 18 = 0

Now either factor that or use the quadratic formula if you're lazy like me.

x = -3/2 and 6, so x must be 6 because it has to be an integer.

5 0
3 years ago
Find the domain of the rational expression: x-4/2x-6
marin [14]

Answer:

All real numbers except 3

Step-by-step explanation:

Given

\frac{x - 4}{2x - 6}

Required

Determine the domain

We start by writing the following inequality

2x - 6 \neq  0

Add 6 to both sides

2x -6 + 6 \neq = 0 + 6

2x \neq  6

Divide both sides by 2

\frac{2x}{2}\neq  \frac{6}{2}

x \neq  \frac{6}{2}

x \neq = 3

<em>As such, the domain of x is all real numbers except 3</em>

4 0
3 years ago
An automobile manufacturer has given its van a 47.2 miles/gallon (MPG) rating. An independent testing firm has been contracted t
Romashka-Z-Leto [24]

Answer:

Test statistic = 1.664

Step-by-step explanation:

The hypothesis :

H0 : μ = 47.2

H1 : μ ≠ 47.2

Given that :

Sample mean, xbar = 47

Sample size, n = 250

Standard deviation, σ = 1.9

The test statistic :

(xbar - μ) ÷ (σ/√(n))

T = (47 - 47.2) ÷ (1.9/√(250))

T = (0.2 / 0.1201665)

Test statistic = 1.664

7 0
3 years ago
Quadrilateral ABCD is a parallelogram with diagonals that intersect at point E. If AD=4w-5 DE=4 BE=x/2 BC=7w-17 solve for w.
Alex777 [14]

Answer:

B. w = 4

Step-by-step explanation:

As we know, in a parallelogram length of opposite sides are equal.

so, AD = BC

⇒ 4w - 5 = 7w - 17

⇒ 12 = 3w

⇒ w = 4

8 0
4 years ago
Plssssss help me show the work!!
PilotLPTM [1.2K]

Answer:

use the quadruple double schlop schlop theorum

Step-by-step explanation:

Factor  

25

out of  

50

.

3

√

25

(

2

)

Rewrite  

25

as  

5

2

.

3

√

5

2

⋅

2

Pull terms out from under the radical.

3

(

5

√

2

)

Multiply  

5

by  

3

.

15

√

2

The result can be shown in multiple forms.

Exact Form:

15

√

2

Decimal Form:

21.21320343

3 0
3 years ago
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