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3 years ago

PLEASE HELP WITH #18 DUE SOON

Mathematics

2 answers:

gizmo_the_mogwai [7]3 years ago

7 0

Answer:

they are not similar

Step-by-step explanation:

is this an answer ??

AlexFokin [52]3 years ago

3 0

Not sure what them other words mean I haven’t done this in a minute but the corresponding angles are all the same but the size is difference

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Line k has a slope of 2/3. If line m is parallel to line k, then it has a slope of

dalvyx [7]

<span>If line m is parallel to line k, then it has a slope of C)2/3</span>

5 0

3 years ago

Can you explain to me the answers in a and b?

Hoochie [10]

a. The constant of proportionality is k = 2

b. If Micah saves $150, his parents will give him $300

<h2>Explanation:</h2>

From mathematics, we know that $y$ varies directly as $x$ or $y$ is directly proportional to $x$ if and only if:

$y=kx$ for some nonzero constant $k$ .

Here we know some facts:

For every $5 that Micah saves, his parents give him $10.

In other words:

Let y be the money his parents give him.

Let x be the money that Micah saves.

$We \ know \ that: \\ y=kx \\ \\ \\ Solving \ for \ k: \\ \\ k=\frac{y}{x} \\ \\ k=\frac{10}{5} \\ \\ \boxed{k=2}$

So,<em> the constant of proportionality is k = 2</em>

In this case, we know that Micah saves $150. So we need to find the amount of his parents will give him. So what we know here is the value of x, because x represents the amount of money Micah saves. Therefore, by knowing x and k, we can calculate the value of y, which is the amount of money his parents will give him. Hence:

$For \ x=150 \ and \ k=2: \\ \\ y=2(150) \\ \\ \boxed{y=300}$

Finally, <em>if Micah saves $150, his parents will give him 300$</em>

<h2>Learn more:</h2>

Cost of pizzas: brainly.com/question/12878495

#LearnWithBrainly

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4 years ago

Angles of a triangle

PilotLPTM [1.2K]

Answer:

180 -93+37= 180 -124 = 56

Step-by-step explanation:

interior angles of a triangle are 180 degrees

so 180 - 124 = 56

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3 years ago

Please answer this question

Gennadij [26K]

Answer:

Step-by-step explanation:

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3 years ago

Read 2 more answers

Can you help me to solve this

stealth61 [152]

Answer:

$\text{Triangle 1:}\\\\x=30\sqrt{2},\\\\\text{Triangle 2:}\\x\approx 36.18,\\?\approx12.37$

Step-by-step explanation:

*Notes (clarified by the person who asked this question):

-The triangle on the right has a right angle (angle that appears to be a right angle is a right angle)

-The bottom side of the right triangle is marked with a question mark (?)

<u>Triangle 1 (triangle on left):</u>

Special triangles:

In all 45-45-90 triangles, the ratio of the sides is $x:x:x\sqrt{2}$ , where $x\sqrt{2}$ is the hypotenuse of the triangle. Since one of the legs is marked as $30$ , the hypotenuse must be $\boxed{30\sqrt{2}}$

It's also possible to use a variety of trigonometry to solve this problem. Basic trig for right triangles is applicable and may be the simplest:

$\cos 45^{\circ}=\frac{30}{x},\\x=\frac{30}{\cos 45^{\circ}}=\frac{30}{\frac{\sqrt{2}}{2}}=30\cdot \frac{2}{\sqrt{2}}=\frac{60}{\sqrt{2}}=\frac{60\cdot\sqrt{2}}{\sqrt{2}\cdot \sqrt{2}}=\frac{60\sqrt{2}}{2}=\boxed{30\sqrt{2}}\\$

<u>Triangle 2 (triangle on right):</u>

We can use basic trig for right triangles to set up the following equations:

$\cos 20^{\circ}=\frac{34}{x},\\x=\frac{34}{\cos 20^{\circ}}\approx \boxed{36.18}$ ,

$\tan 20^{\circ}=\frac{?}{34},\\?=34\tan 20^{\circ}\approx \boxed{12.37}$

We can verify these answers using the Pythagorean theorem. The Pythagorean theorem states that in all right triangles, the following must be true:

$a^2+b^2=c^2$ , where $c$ is the hypotenuse of the triangle and $a$ and $b$ are two legs of the triangle.

Verify $34^2+(34\tan20^{\circ})^2=\left(\frac{34}{\cos20^{\circ}}\right)^2\:\checkmark$

3 0

3 years ago