All categories

3 years ago

Solve for x, and angle c

Mathematics

1 answer:

patriot [66]3 years ago

5 0

9514 1404 393

Answer:

x = 12.75

∠C = 51.75°

Step-by-step explanation:

The two marked angles are complementary, so ...

(5x -12) +(3x) = 90

8x = 102

x = 102/8

x = 12.75

C = (5x -12)° = (5(12.75) -12)°

∠C = 51.75°

<em>Check</em>

E = 3x = 38.25, then C+E = 51.75 +38.25 = 90 . . . . as it should

You might be interested in

Four resistors are connected in series such that their total resistance is 50ohm . If the resistance of resistors is 5 ohm , 10o

Katyanochek1 [597]

<h2>Answer:</h2>

$\boxed{R_{4}=20\Omega}$

<h2>Step-by-step explanation:</h2>

If resistors are in series, so the current $I$ is the same in all of them. In this problem we have four resistors. So, we can get a relationship between the Equivalent resistance of series combination and the four resistors as follows:

$R_{eq}=R_{1}+R_{2}+R_{3}+R_{4}$

$R_{eq}$ is the total resistance $50\Omega$ . Moreover:

$R_{1}=5\Omega \\ R_{2}=10\Omega \\ R_{3}=15\Omega$

Therefore:

$50=5+10+15+R_{4} \\ \\ R_{4}=50-(5+10+15) \\ \\ R_{4}=50-30 \\ \\ \boxed{R_{4}=20\Omega}$

7 0

3 years ago

Sasha can mow 3/8 of an acre of grass in 45minutes.how many acres of grass does Sasha now per hour?

horrorfan [7]

Keeping in mind that an hour is 60 minutes.

$\bf \begin{array}{ccll}
\stackrel{acre}{grass}&\stackrel{minutes}{time}\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
\frac{3}{8}&45\\
g&60
\end{array}\implies \cfrac{\frac{3}{8}}{g}=\cfrac{45}{60}\implies \cfrac{\frac{3}{8}}{\frac{g}{1}}=\cfrac{45}{60}\implies \cfrac{3}{8}\cdot \cfrac{1}{g}=\cfrac{45}{60}
\\\\\\
\cfrac{3}{8g}=\cfrac{45}{60}\implies 180=360g\implies \cfrac{180}{360}=g\implies \cfrac{1}{2}=g$

6 0

3 years ago

Two angles that are complementary form a right angle

faltersainse [42]

Yes!!!!!!!!!!!!! OKAY!

8 0

3 years ago

Answer correctly , will mark brainliest answer !!!!

AveGali [126]

Answer:

x-6

Step-by-step explanation: