All categories

3 years ago

Find the value of x. What kind of angles are these?

Mathematics

2 answers:

VLD [36.1K]3 years ago

5 0

Answer:

$\displaystyle Corresponding\:Angles; 40 = x$

Step-by-step explanation:

Corresponding Angles are <em>congruent</em>, therefore you set both angle measures equal to each other:

$\displaystyle 135° = [3x + 15]° → 120 = 3x; 40 = x$

I am joyous to assist you at any time.

marshall27 [118]3 years ago

5 0

Hey there!

The answer to your question is $x = 40$

These are two parallel lines cut by a transversal, which means that they are corresponding angles and, therefore, $(3x + 15)$ is equal to $135$ °:

$3x + 15 = 135$

Subtract $15$ from both sides:

$3x = 120$

Divide both sides by $3$ :

$x = 40$

Have a terrificly amazing day!

You might be interested in

Find cotθ, cosθ, and secθ, where θ is the angle shown in the figure.

Darina [25.2K]

Answer:

$\cos( \theta) = \frac{5}{8} \\ {8}^{2} = {5}^{2} + {opp}^{2} \\ {opp}^{2} = 64 - 25 = 39 \\ opp = \sqrt{39} \\ \sin(\theta) = \frac{\sqrt{39}}{8} \\ \tan(\theta) = \frac{ \sqrt{39} }{5} \\ \cot(\theta) = \frac{1}{\tan(\theta)} = \frac{1}{\frac{ \sqrt{39} }{5}} \\ \cot(\theta) = \frac{5}{ \sqrt{39} } \\ \csc( \theta) = \frac{1}{\sin(\theta)} = \frac{1}{\frac{\sqrt{39}}{8}} \\ \csc( \theta) = \frac{8}{ \sqrt{39} } \\ \sec( \theta) = \frac{1}{\cos( \theta) } = \frac{1}{ \frac{5}{8} } \\ \sec( \theta) = \frac{8}{5}$

5 0

2 years ago

Solve #1 pls, I need to find the shortest side, median side, and longest side

Lisa [10]

Answer:

Shortest side = 39 cm.

Median side = 65 cm.

Longest side = 91 cm.

Step-by-step explanation:

The perimeter in total is 195 cm. The ratio of the sides are 3 : 5 : 7.

First, find how much parts there are as a whole, by combining the ratios:

3 + 5 + 7 = 15 parts.

Divide the total of parts from the total measurement:

195/15 = 13

Each part has the measurement of 13 cm.

1 part = 13 cm.

Use the following ratio to solve for each of the sides:

Shortest side: 3

3 x 13 = 39

Shortest side = 39 cm.

Median side: 5

5 x 13 = 65

Median side = 65 cm.

Longest side: 7

7 x 13 = 91

Longest side = 91 cm.

Check. Combine all side measurements together. They should equal 195:

39 + 65 + 91 = 195

(39 + 65) + 91 = 195

(104) + 91 = 195

195 = 195 (True).

8 0

4 years ago

Find the quadratic function that fits the following data. which one function fits.

Oksana_A [137]

Answer:

Step-by-step explanation:

The general rule for the quadratic function is

$y=ax^2+bx+c$

Use the data from the table:

$y(50)=130\Rightarrow 130=a\cdot 50^2+b\cdot 50+c\\ \\y(70)=130\Rightarrow 130=a\cdot 70^2+b\cdot 70+c\\ \\y(90)=200\Rightarrow 200=a\cdot 90^2+b\cdot 90+c$

We get the system of three equations:

$\left\{\begin{array}{l}2500a+50b+c=130\\ \\4900a+70b+c=130\\ \\8100a+90b+c=200\end{array}\right.$

Subtract these equations:

$\left\{\begin{array}{l}4900a+70b+c-2500a-50b-c=130-130\\ \\8100a+90b+c-2500a-50b-c=200-130\end{array}\right.\Rightarrow \left\{\begin{array}{l}2400a+20b=0\\ \\5600a+40b=70\end{array}\right.$

From the first equation

$b=-120a$

Substitute it into the second equation:

$5600a+40\cdot (-120a)=70\Rightarrow 800a=70,\\ \\ a=\dfrac{7}{80},\\ \\ b=-120\cdot \dfrac{7}{80}=-\dfrac{21}{2}=-10.5$

So,

$2500\cdot \dfrac{7}{80}+50\cdot (-10.5)+c=130\Rightarrow 218.75-525+c=130\\ \\c=130-218.75+525=436.25$

The quadratic function is

$y=\dfrac{7}{80}x^2-10.5x+436.25\\ \\y=0.0875x^2-10.5x+436.25$

4 0

3 years ago

If one kg. of potatoes costs $4.99, what would 1.8 kg cost?

lina2011 [118]

You can use the proportion.
$4.99 / 1 kg = x / 1.8 kg
x = ($4.99 * 1.8 kg) / 1 kg
x = $8.98

Therefore, in 1.8 kg of potatoes, it costs at $8.98
☺️<span>✌️</span>

3 0

3 years ago

I need an answer ASAP. Somebody HELLLLP!

Lana71 [14]

2 pairs of lines that intersect

6 0

3 years ago

Read 2 more answers