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3 years ago

Josh is 4 years older than Delaney. In 5 years the sum of their ages will be 60. How old is Josh now?

Mathematics

1 answer:

Kaylis [27]3 years ago

6 0

X + 5 + 4 + x + 5 = 60
2x + 14 = 60
-14 -14
2x = 46
x = 23

So, Josh's age is 23 + 4 which is 27 years old.

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What are the values of x that would make the line j parallel to line k? Help me please!

vagabundo [1.1K]

Answer:

For line j to be parallel to line k, then x has to be equal to 0

Step-by-step explanation:

if line j is parallel to line k, then the two angles are equal.

They are equal because they would be alternate angles and alternate angles are equal in value

Thus,

3x + 10 = 5x + 10

5x-3x = 10-10

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x = 0

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3 years ago

PLEASE HELP !!!!!!!!!!!!!!!!!!!!!!! QUESTION ATTACHED

DIA [1.3K]

Angle-5 and angle-7 are 'vertical angles', so they're equal,
and we can write ...
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Subtract 9x from each side: x - 9 = 0

Add 9 to each side: x = 9

Now that we know what 'x' is, we can find the size of Angles-5 and -7 .

Angle-7 = 9x = 81° .

Now look at Angle-6 ... the one that's the answer to the problem.

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4 0

3 years ago

Assuming the population growth models continue to represent the growth of the forests, which forest will have a greater number o

Maksim231197 [3]

The given population models for the trees is given as:

$\begin{gathered} A(t)=115(1.025)^t \\ B(t)=82(1.029)^t \end{gathered}$

It is required to find which forest will have a greater number of trees after 20 years and by how many.

To do this substitute t=20 in the equations of the models:

$A(20)=115(1.025)^{20}\approx188$ $B(20)=82(1.029)^{20}\approx145$

Hence, forest A has a greater number of trees after 20 years.

Calculate the difference:

$188-145=43$

It follows that forest A has a greater number of trees than forest B by 43 trees.

After 20 years, forest A has a greater number of trees than forest B by 43 trees.

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1 year ago

Help me please!!!!!!

lara [203]

Answer:

a. $b=2$

b. $b = 2a$

c. $a = \frac{1}{2}b\\$

d. $b = 10$

Step-by-step explanation:

Gradient is just another similar term for slope l, $m$ , and it can be calculated by $m = \frac{y_2 -y_1}{x_2 -x_1}\\$ where $x_n$ and 1 $y_n$ is the $xy$ -coordinates of point $n$

We let $(0,0)$ be point $1$ and $(a,b)$ be point $2$ , we can then write the equation:

$m = \frac{b -0}{a -0}\\ m = \frac{b}{a}$ .

It also says that the points are with a gradient of $2$ so $m = 2$ . We can then write the equation:

$2 = \frac{b}{a}\\$

Finding $b$ If $a = 1$ :

$2 = \frac{b}{a} \\ 2 = \frac{b}{1} \\ 2 = b \\ b = 2$

Writing an expression for $b$ in terms of $a$ .

$2 = \frac{b}{a} \\ \frac{b}{a} = 2 \\ \frac{b}{a} \times a = 2 \times a \\ b = 2a$

Writing an expression for $a$ in terms of $b$

$2 = \frac{b}{a} \\ \frac{b}{a} = 2 \\ \frac{a}{b} = \frac{1}{2} \\ \frac{a}{b} \times b = \frac{1}{2} \times b \\ a = \frac{1}{2}b$

Finding $b$ if $a = 5$

$2 = \frac{b}{a} \\ 2 = \frac{b}{5} \\ \frac{b}{5} = 2 \\ \frac{b}{5} \times 5 = 2 \times 5 \\ b = 10$

4 0

3 years ago

An observer on the ground is x meters from the base of the launch pad of a rocket, which is at the same level as the observer. A

Flauer [41]

To illustrate the problem, refer to the following diagram, made with the ever-helpful notepad application:

|\ | \ | \h| \ | \ | \ |_____q\ x

Pretending as if that is a wonderfully-drawn triangle, we are given the distance x of the observer from the launch pad. The angle q is also stated, and is located in the diagram as shown. To look for the distance h of the tip of the rocket to the ground, we consider the following trigonometry function:

tan q = h/x

Since we are solving for h, we multiply both sides with x, giving us:

h = x * tan q

Among the choices, the correct answer is C.

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3 years ago