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Georgia [21]
3 years ago
14

What’s the correct answer for this question?

Mathematics
1 answer:
Effectus [21]3 years ago
4 0

Answer:

x = 40

Step-by-step explanation:

Given 2 secants to a circle from an external point, then

The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is

8(8 + x) = 12(12 + 20) ← distribute parenthesis on both sides

64 + 8x = 12 × 32 = 384 ( subtract 64 from both sides )

8x = 320 ( divide both sides by 8 )

x = 40

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7 out of the 70 employees at the sports shop are part-time employees. What percentage of the employees at the sports shop work p
Ket [755]

Answer:

10%

Step-by-step explanation:

First, you convert it into a fraction, 7/70. Then convert the fraction into a decimal which is 0.1. Then multiple by 100, which gives you 10%

4 0
3 years ago
Lily is 5 years younger than 3 times Landon's age. If Lily is 28 years old, how old is Landon?
Sophie [7]

Answer:

Landon is 11 years old

Step-by-step explanation:

28+5= 33

33/3= 11

since Lily is five years younger than three times his age you would have to add five. once you add five you divide by three to get Landon's age.

hope this helps!

7 0
3 years ago
Read 2 more answers
Find the equation of the line through the points (0, –3) and (4, 5)
vekshin1

Answer:

y=2x-3

Step-by-step explanation:

Hi there!

We are given the points  (0, –3) and (4, 5)

We want to find the equation of the line between these points

There are 3 ways to write the equation of the line, yet the most common way is slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

To write the equation of the line in this way, we need to first find the slope of the line
The slope can be found using the formula \frac{y_2-y_1}{x_2-x_1}, where (x_1, y_1) and (x_2, y_2) are points

We already have 2 points, but let's label their values to avoid confusion and mistakes when calculating.

m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{5--3}{4-0}

Simplify

m=\frac{5+3}{4-0}

m=\frac{8}{4}

Divide

m=2

We found the slope of the line.

Here is the equation of the line so far:

y=2x+b

Now let's find b

As stated before, b is the y intercept of the line, which is the point where the line passes through the y axis; the value of x at the y intercept is 0

One of the points we were given (0, -3) is actually the y intercept of the line!

The value of b is the value of y at the y intercept; in this case, b is equal to -3

Now substitute -3 as b in the equation.

y=2x-3

Hope this helps!

See more on this topic here: brainly.com/question/27172025

5 0
2 years ago
If lines a and b are parallel, and m<8=150, what is the m<2
ss7ja [257]

Step-by-step explanation:

\underline{\large{ \tt{G \: I \: V \: E \: N}}} :

  • Line a & b are parallel
  • m ∠ 8 = 150 °

\underline{ \large{ \tt{T \: O\:  \: F \: I \: N \:D}}} :

  • m ∠ 2

\underline{ \large{ \tt{S\: O \:L \: U \: T \: I \: O \: N}}} :

\large{ \tt{m  \: \angle \: 8  \:  +  \: m  \: \angle \: 2 = 180 \degree}} [ Sum of co-interior angles ]

⤑ \large{ \tt{150 \degree \:  + m  \: \angle \: 2}} = 180 \degree

⤑ \large{ \tt{m \angle \: 2 \:  =  \: 180 \degree - 150 \degree}}

⤑ \large{ \tt{m  \: \angle \: 2 \:  =  \bold{ \tt{30 \degree}}}}

\red{ \boxed{ \boxed{ \tt{Our \: final \: answer :  \boxed{ \underline{ \bold{ \tt{30 \degree}}}}}}}}

Hope I helped ! ♡

Have a wonderful day / night ! ツ

# \underbrace{ \tt{Carry \: On \: Learning}} !!

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

8 0
3 years ago
Read 2 more answers
Pls answer the questions below
Vika [28.1K]
1. 2
2. 2
3. 5
4. 1
5. 8
6. 2
7. -2
8. 2
9. 3
10. -1
11. -7
12. -2
6 0
3 years ago
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