What is the measure of angle A?

Answer:

present Age of " A " will be (x) = 45 years

present Age of " B " will be (y) = 24 years

Step-by-step explanation:

Age of " A " = x years

Age of " B " = y years

(Three years ago A's age was double of B's age.)

==> (x-3) = 2 * (y-3)

==> x - 2y = -6 + 3

==> x - 2y = -3 -------------(1)

(Seven years hence, the sum of their ages will be 83 years )

==> (x+7)+(y+7) = 83

==> x + y = 83 - 14

==> x + y = 69 ------------(2)

Subtract equ.(1) & equ(2)

==> -2y - y = -3 - 69

==> -3y = -72

==> y = -72/(-3)

==> y = 24

Keep value of y in equ(2)

==> x + 24 = 69

==> x = 69 - 24

==> x = 45

Answer:

Step-by-step explanation:

Equation of a line  representing the relation between distance from the peak of the mountain and time is,

h = mt + b

Here, m = Slope of the line

b = y-intercept

Since, slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

From the table attached,

Slope of the line passing through (2, 2600) and (5, 950) will be,

m = [tex]\frac{2600-950}{2-5}[/tex]

   = -550

Therefore, equation of the line will be,

h = -550t + b

Since, point (2, 2600) lies on this line,

2600 = -550(2) + b

b = 2600 + 1100

b = 3700

So, equation of the line will be,

h = -550t + 3700

Input - output values for this line,

t            2             4            6  

h        2600      1500       400  

Now we can plot these points and get the graph of the line.

Answer:

5.9 miliseconds

Step-by-step explanation:

it is it because there is a second to millisecond on a watch

Answer:

The other prime number is 2.

Step-by-step explanation:

Prime factorization of a cube of a certain number and a square of 5

The number we dont know is x, so we have:

[tex]x^3 \times 5^2 = 25x^3[/tex]

The product is 200. What is the other prime number?

So

[tex]25x^3 = 200[/tex]

[tex]x^3 = \frac{200}{25}[/tex]

[tex]x^3 = 8[/tex]

[tex]x = \sqrt[3]{8}[/tex]

[tex]x = 2[/tex]

The other prime number is 2.

Answer:

A

Step-by-step explanation:

sin 82 I think but i just try

Answer:

$56

ez

Step-by-step explanation:

Answer:

56.548667764616276

Step-by-step explanation:

Multiply the diameter by pi.

C= 18 x 3.14159265

Hope this helps!

Answer:

the answear is C because if you multiply the last two boxes you get 24

Hey there!

The answer is √20 or approximately 4.47

We can use the Pythagoreon Theorem, which is [tex]a^2 +b^2=c^2[/tex]. [tex]a[/tex] and [tex]b[/tex] are the names of the two sides, and [tex]c[/tex] is the name of the hypotenuse leg, or the longest side. We will plug the numbers into the formula, and solve:

[tex]2^2+4^2=c^2\\4+16=c^2\\20=c^2\\4.47...=c[/tex]

Have a terrifcly amazing day!

Answer:

x = 8.1°

Step-by-step explanation:

Reference angle = x

Opposite side = 153 ft

Adjacent side = 1071 ft

Applying trigonometric ratio (TOA), we have:

[tex] tan(x) = \frac{opp}{adj} [/tex]

[tex] tan(x) = \frac{153}{1071} [/tex]

[tex] x = tan^{-1}(\frac{153}{1071}) [/tex]

[tex] x = 8.1 degrees [/tex] (nearest tenth)

Answer:31/28

Step-by-step explanation:

Answer:

1 3/28

Step-by-step explanation:

Answer:

2/9

Step-by-step explanation:

two e with a total of 9 letters

Answer:

1. up

Step-by-step explanation:

iyi dersler Good by

iyi dersler

Answer:

110.4km

Step-by-step explanation:

1 lap is equal to 4.8

4.8×23=110. 4

(Need someone to confirm)

Answer:

Step-by-step explanation:

Hope this helps!!

Answer: its 5000 i got it right

Step-by-step explanation:

Answer:

4/9

Step-by-step explanation:

Answer:

4/9

Step-by-step explanation:

Answer:

The answer is 1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

x - 5 = y

6 - 5 = 1

Hope that helps!

Answer:

E.

H0 : mu D = 0

Ha : mu d < 0

Step-by-step explanation:

The hypothesis is to test if there is a reduction in blood pressure for those who complete the program, this means if the mean difference in blood pressure (that is after - before) is less than 0. Here, the hypothesis is the alternative side while the opposite, that is, there is no difference in blood pressure before and after is the null.

This means :

H0 : μD = 0

Ha : μD < 0

You can use the definitions for null and alternate hypotheses  

The correct set of hypothesis is given by:

Option E.  [tex]H_0: \mu_D = 0[/tex]

[tex]H_a: \mu_D < 0[/tex]

There are two hypotheses. First one is  called null hypothesis and it is chosen such that it predicts nullity or no change in a thing. It is usually the hypothesis against which we do the test. The hypothesis which we put against null hypothesis is alternate hypothesis.

Null hypothesis is the one which researchers try to disprove.

Since the test is to test the effectiveness of the exercise program, thus the wish of the tester is to get the result that effectiveness is there. This will be the alternate hypothesis and the null hypothesis will be that there is no difference in the blood pressure before and after the exercise. Thus, we will test against the null hypothesis.

Since the evidence is to be found for all of the people who completed the program, thus it is hypothesis about population perimeter. The average blood pressure difference of the population is denoted by [tex]\mu_D[/tex] and that of the sample is denoted by [tex]\overline{x}_D[/tex]

Thus, we have:

Null hypothesis = the difference in average blood pressure before and after the program of the population is not changed(thus 0 is the difference) = [tex]H_0: \mu_D = 0[/tex]

Alternate hypothesis = the difference in average blood pressure is reduced(since the test is for seeing if the blood pressure is reduced or not) = [tex]H_a: \mu_D < 0[/tex]

Thus,

The correct set of hypothesis is given by:

Option E.  [tex]H_0: \mu_D = 0[/tex]

[tex]H_a: \mu_D < 0[/tex]

Learn more about null and alternative hypothesis here:

https://brainly.com/question/18831983

Answer:

15 units

Step-by-step explanation:

[tex]distance formula =\sqrt{(x_{2} -x_{1} )^{2} + (y_2 -y1)^{2} } } \\[/tex]

[tex]x_{1} = -2\\x_{2} = -14\\y_{1} = -5\\y_{2} = 4[/tex]

[tex]distance\\= \sqrt{(-14 - -2)^{2} + (4 - -5)^2 } \\= \sqrt{(-12)^2 + (9)^2} \\= \sqrt{144 + 81} \\= \sqrt{225} \\= 15\\Thus distance between the two points (-2,-5) and (-14,4) = 15 units[/tex]

Hope it helps....

Answer:

Step-by-step explanation:

23-92 = -69

-69/92 = -0.75 = -75%

Answer:

See below.

Step-by-step explanation:

1) 3 congruent sides and 3 congruent angles: equilateral, equiangular, acute

2) 2 congruent sides and a right angle: right isosceles

3) 2 congruent sides and an obtuse angle: obtuse isosceles

4) 1 obtuse angle and all different lengths of sides: obtuse scalene

5) 1 right angle and all different side lengths: right scalene

6) 2 congruent sides, all acute angles: acute isosceles

7) x + 2 = 10

x = 8

8) 10x + 3 + 10x + 3 + 34 = 180

20x + 40 = 180

20x = 140

x = 7

Answer:

20 m

Step-by-step explanation:

4(3+2) = 20

Step-by-step explanation:

4x + 2 + 3x + 3 = 180 (straight angle)

4x + 3x + 2 + 3 = 180

7x + 5 = 180

7x = 175

x = 25°

Answer:

18

Step-by-step explanation:

its an isoceles triangle, the two sides (NP and Q) are equal

Answer:

18

Step-by-step explanation: