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2 years ago

I need help on this question I don’t understand

Mathematics

1 answer:

mixas84 [53]2 years ago

3 0

Answer:

x = 25

Step-by-step explanation:

Since these 2 angles are vertical angles, then they are both equal. Set up an equation and then solve it.

75 = 4x - 25

75 + 25 = 4x

100 = 4x

100/4 = 4x/4

25 = x

Hope this helps. Brainly will be highly appreciated.

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A commercial airplane is flying at an elevation of 15,000 feet and ascends to an elevation of 20000 feet at a rate of 1250 feet

Ksju [112]

Answer:

4 minutes

Step-by-step explanation:

Put it into an equation

20000 = 1250x + 15000

Subtract 15000 from both sides

5000 = 1250x

Divide both sides by 1250

4 = x

6 0

2 years ago

After calculating the sample size needed to estimate a population proportion to within 0.05, you have been told that the maximum

Svetlanka [38]

Answer: 40000

Step-by-step explanation:

The formula to find the sample size is given by :-

$n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2$ , where p is the prior estimate of the population proportion.

Here we can see that the sample size is inversely proportion withe square of margin of error.

i.e. $n\ \alpha\ \dfrac{1}{E^2}$

By the equation inverse variation, we have

$n_1E_1^2=n_2E_2^2$

Given : $E_1=0.05$ $n_1=1000$

$E_2=0.025$

Then, we have

$(1000)(0.05)^2=n_2(0.025)^2\\\\\Rightarrow\ 2.5=0.000625n_2\\\\\Rightarrow\ n_2=\dfrac{2.5}{0.000625}=4000$

Hence, the sample size will now have to be 4000.

6 0

2 years ago

Prove: Quadrilateral ABCD is a parallelogram.

Brilliant_brown [7]

Answer:

Step 3.

m∠ AEB = m∠ CED .........By Vertical Angles Theorem.

Step-by-step explanation:

Vertical Angles Theorem:

Vertical angle theorem states that vertical angles, angles that are opposite each other and formed by two intersecting lines,are congruent.

If two lines intersect each other we have two pair of vertical opposite angles. As shown in the figure.

Here,

∠ 1 and ∠ 2 are vertical opposite angles and also they are equal.

∠ 3 and ∠ 4 are also vertical opposite angles and also they are equal.

For,

step 3. m∠ AEB = m∠ CED

Therefore, the reason for step 3 of this proof is Vertical Angles Theorem.

6 0

3 years ago

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Anuta_ua [19.1K]

Answer:

a,e,f

Step-by-step explanation:

a. 6p+6

b.12p

c.6p

d.5p+6

e.6p+6

f.6p+6

5 0

2 years ago

Determine the center and radius of the following circle equation: x² + y2 - 6x + 16y + 48 = 0

motikmotik

Answer:

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2 years ago