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BabaBlast [244]

4 years ago

12

A and b are complementary angles. Za measures 44°. What is the measure of b?

2 answers:

Agata [3.3K]4 years ago

7 0

Answer:

46

Step-by-step explanation:

So angle b equals to 46 degrees

Complementary angles equal to 90 degrees when added together. So set the equation to 90.

44+x=90

Subtract 44 from both sides

x=46

katrin2010 [14]4 years ago

6 0

So angle b equals to 46 degrees

Complementary angles equal to 90 degrees when added together. So set the equation to 90.

44+x=90

Subtract 44 from both sides

x=46

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Find the distance when y2=9, y1=13, x2=4, and x1=0.

Ket [755]

Answer:

Tthe distance between $\left(x_1,\:y_1\right)=\left(0,\:13\right)$ and $\left(x_2,\:y_2\right)=\left(4,\:9\right)$ will be:

$\mathrm{Distance\:between\:}\left(0,\:13\right)\mathrm{\:and\:}\left(4,\:9\right):\quad 4\sqrt{2}$

Step-by-step explanation:

Given the points

$\left(x_1,\:y_1\right)=\left(0,\:13\right)$

$\left(x_2,\:y_2\right)=\left(4,\:9\right)$

$\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$\mathrm{The\:distance\:between\:}\left(0,\:13\right)\mathrm{\:and\:}\left(4,\:9\right)\mathrm{\:is\:}$

$=\sqrt{\left(4-0\right)^2+\left(9-13\right)^2}$

$=\sqrt{4^2+4^2}$

$=\sqrt{4^2\cdot \:2}$

$\mathrm{Apply\:radical\:rule\:}\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b},\:\quad \mathrm{\:assuming\:}a\ge 0,\:b\ge 0$

$=\sqrt{2}\sqrt{4^2}$

$\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0$

$=4\sqrt{2}$

Therefore, the distance between $\left(x_1,\:y_1\right)=\left(0,\:13\right)$ and $\left(x_2,\:y_2\right)=\left(4,\:9\right)$ will be:

$\mathrm{Distance\:between\:}\left(0,\:13\right)\mathrm{\:and\:}\left(4,\:9\right):\quad 4\sqrt{2}$

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I believe there would be a total of 3

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