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NikAS [45]
3 years ago
15

-2(x - 5) = -14 PLEASEEEEE HELPPPPPP

Mathematics
1 answer:
juin [17]3 years ago
8 0
Okay so you need to start off by using the distributive property, meaning you are going to multiply -2 by both items within the parentheses. this gives you -2x + 10 = -14. from here you want to isolate x, so you’ll subtract both sides by 10 to move it to the other side. this gives you -2x=-24. then you’ll divide both sides by -2 to completely isolate x. this gives you x=12. does that make sense?
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In ΔABC, m∠ACB = 90°, CD ⊥ AB and m∠ACD = 45°. Find: a Find CD, if BC = 3 in
Elodia [21]

Answer:

  CD = (3/2)√2

Step-by-step explanation:

All the triangles are similar isosceles right triangles, so the hypotenuse in each case is √(1²+1²) = √2 times the length of the corresponding legs. BC is the hypotenuse of ΔBCD, so leg CD is that length divided by √2.

  CD = BC/√2 = 3/√2

  CD = (3/2)√2

6 0
2 years ago
What is the area of a regular polygon with 100 sides and a perimeter of 100 units?
PolarNik [594]
Now, if the regular polygon has 100 sides, and the perimeter is 100 units, that simply means that each side is 1 unit, foot, meter, else.

so, we know each side is 1 unit long, and we know there are 100 sides,

\bf \textit{area of a regular polygon}\\\\
A=\cfrac{1}{4}ns^2cot\left( \frac{180}{n} \right)\quad 
\begin{cases}
n=\textit{number of sides}\\
s=\textit{length of a side}\\
\frac{180}{n}=central~angle\\
\qquad~~ in~degrees\\
----------\\
n=100\\
s=1
\end{cases}
\\\\\\
A=\cfrac{1}{4}\cdot 100\cdot 1^2\cdot cot\left( \frac{180}{100} \right)\implies A=25cot\left(\frac{9}{5}^o  \right)
\\\\\\
A\approx 795.51289884
3 0
3 years ago
3 times the complement of an angle is 30 more than the supplement of the original angle. What is the measure of the angle? 15° 3
labwork [276]
1. By definition, the sum of the Suplementary angles is 180° and the sum of the Complementary angles is 90°. Keeping this on mind, you have:

 90-x (The complement of the angle)
 180-x (The sumplement of the angle)

 "x" is the angle that you want to calculate.

 2. Then, you have:

 3(90-x)+30=180-x
 (270-3x)+30=180-x
 300-3x=180-x
 300-180=-x+3x
 120=2x
 120/2=x
 x=60°
<span>
 What is the measure of the angle?</span> 

 The answer is: The measure of the angle is 60°.
6 0
3 years ago
Carissa counts by 5s from 32 to 62. Which number does carissa count?
Anna35 [415]

Answer:

32, 37, 42, 47, 52, 57, 62.

Step-by-step explanation:

It is given that Carissa counts by 5s from 32 to 62.

It means, we have to add 5 in the number to get the next number.

Add 5 in 32.

32+5=37

Now, add 5 in 37.

37+5=42

Similarly, continue the process.

42+5=47

47+5=52

52+5=57

57+5=62

Therefore, the numbers counted by carissa are 32, 37, 42, 47, 52, 57, 62.

4 0
3 years ago
If sales tax of a state is 8% what is the price of a $400 punching bag
Y_Kistochka [10]

Answer:

$32

Step-by-step explanation:

400 dollars

10 percent of 400=40

5 percent of 400=20

1 percent of 400=4

4 times 8=32

400-32=$368

32 is the sale tax

3 0
3 years ago
Read 2 more answers
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