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3 years ago

An angle measures 72 degrees more than the measure of its complementary angle what is the measure of each angle

Mathematics

1 answer:

labwork [276]3 years ago

8 0

Good evening

Answer:

<h2>measure of Angle 1 = 81°</h2><h2>Measure of angle 2 = 9°</h2>

Step-by-step explanation:

we need to solve this system

x + y = 90 (1)

x = y + 72 (2)

If we substitute x by y+72 into the equation (1) we will get

(y+72) + y = 90 ⇔ 2y + 72 = 90 ⇔ 2y = 90 - 72 = 18 ⇔ y = 9

then x = 90 - 9 = 81

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What type of triangle is given by the points D(1,1), E(3,8) and F(5,1).

Vlad1618 [11]

Answer:

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Step-by-step explanation:

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8 0

2 years ago

In ΔKLM, l = 48 inches, ∠K=55° and ∠L=46°. Find the length of k, to the nearest inch.\

s2008m [1.1K]

Given:

In ΔKLM, l = 48 inches, ∠K=55° and ∠L=46°.

To find:

The length of k, to the nearest inch.

Solution:

According to Law of sine,

$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$

In ΔKLM, using law of sine, we get

$\dfrac{k}{\sin K}=\dfrac{l}{\sin L}$

$\dfrac{k}{\sin (55^\circ)}=\dfrac{48}{\sin (46^\circ)}$

$k=\dfrac{48\times \sin (55^\circ)}{\sin (46^\circ)}$

On further simplification, we get

$k=\dfrac{48\times 0.819152}{0.7193398}$

$k=\dfrac{39.319296}{0.7193398}$

$k=54.66025
$

Approximate the value to the nearest inch.

$k\approx 55
$

Therefore, the length of k is 55 inch.

4 0

3 years ago

kow [346]

Similarity ratio is a ratio of two figures having the same side.

Ratio can be rate but rate can never be ratio. In essence, rate is comparison between ratios. While ratio is comparison between two or more numbers. Further, ratio on one hand, involves numbers either in amount, size, measurement, degrees, percentages or fractions with the absence of specific unit of measurement. On the contrary, rate is comparing quantities, amounts or unit of events happened expressed in a specific measurement or expressed under time. Take for instance, an example, Joe eats 2 while John eats 4 meals in a day. The ratio can be Joe: John, 2:4 meals. While the rate, is Joe eats 2 meals/day and John 4 meals/day.<span>
</span>

7 0

3 years ago

(ASAP PICTURE ADDED) What is the simplified form of the following expression?

bonufazy [111]

Answer:

option c is correct.

Step-by-step explanation:

$7\left(\sqrt[3]{2x}\right)-3\left(\sqrt[3]{16x}\right)-3\left(\sqrt[3]{8x}\right)$

WE need to simplify this equation.

Solve the parenthesis of each term.

$=7\left\sqrt[3]{2x}\right-3\left\sqrt[3]{16x}\right-3\left\sqrt[3]{8x}\right$

Now, We will find factors of the terms inside the square root

factors of 2: 2

factors of 16 : 2x2x2x2

factors of 8: 2x2x2

Putting these values in our equation: $=7\left(\sqrt[3]{2x}\right)-3\left(\sqrt[3]{2X2X2X2 x}\right)-3\left(\sqrt[3]{2X2X2 x}\right)\\=7\left(\sqrt[3]{2x}\right)-3\left(\sqrt[3]{2X2X2} \sqrt[3] {2 x}\right)-3\left(\sqrt[3]{2X2X2} \sqrt[3]{x}\right)\\=7\left(\sqrt[3]{2x}\right)-3\left(\sqrt[3]{2^3} \sqrt[3] {2 x}\right)-3\left(\sqrt[3]{2^3} \sqrt[3]{x}\right)\\=7\left(\sqrt[3]{2x}\right)-3*2\left(\sqrt[3] {2 x}\right)-3*2\left(\sqrt[3]{x}\right)\\=7\left(\sqrt[3]{2}\sqrt[3]{x}\right)-6\left(\sqrt[3] {2}\sqrt[3]{x})-6\left(\sqrt[3]{x}\right)$

Adding like terms we get:

$=7\left(\sqrt[3]{2}\sqrt[3]{x}\right)-6\left(\sqrt[3] {2}\sqrt[3]{x})-6\left(\sqrt[3]{x}\right\\=(\sqrt[3] {2}\sqrt[3]{x})-6\left(\sqrt[3]{x}\right)\\$

$(\sqrt[3] {2}\sqrt[3]{x})-6\left(\sqrt[3]{x}\right)\\can\,\,be \,\, written\,\, as\,\,\\(\sqrt[3] {2x})-6\left(\sqrt[3]{x}\right)$

So, option c is correct

5 0

3 years ago

Read 2 more answers

2. Find the unit rate demonstrated in the graph<br> below.

MaRussiya [10]

Answer:B is the answer for this question

6 0

3 years ago