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meriva
3 years ago
15

How do I solve for x?

Mathematics
1 answer:
NISA [10]3 years ago
5 0
Write and solve an equation of ratios based upon the fact that the small and large triangles shown are similar:

 5          6
---- = ---------
14      6 + x

Then 30 + 5x = 84, and 5x = 54, and so x = 54/5, or 10.8, or 10 4/5.
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Lines AB and CD (if present in the picture) are straight lines. Find x. Give reasons to justify your solutions.
Olin [163]

Answer:

WORDS: The value of x is 15.

EQUATION: x = 15

Step-by-step explanation:

1. AB is a straight line therefore angles AOF, FOG, and GOB total 180º

2. If ∠FOG = 90º, AOF + GOB = 90º by subtraction & substitution property

3. 5x - 15 + 2x = 90 (now solve) --> by substitution

4. 7x - 15 = 90 --> by C.L.T. or <u>C</u>ombine <u>L</u>ike <u>T</u>erms

5. 7x = 105 --> by C.L.T. or <u>C</u>ombine <u>L</u>ike <u>T</u>erms

6. x = 15 --> by inverse operations (division)

Hope this helps!

8 0
3 years ago
Determine if the following functions are increasing or decreasing, and compare their rates of change. A. Both functions are incr
adoni [48]

Answer:

D is the answer

Step-by-step explanation:

The both are - 2 slopes hope this helps!:)

4 0
2 years ago
Read 2 more answers
Derick says "bruh" 400 times in 5 days, and he also says "bruh" 925 times in 12 days. What is the rate of change?
Oduvanchick [21]

Answer:

The answer is 75.

Step-by-step explanation:

Average rate of change = Δy/Δx

y^2 -  y^1/x^2 - x^1

925 - 400/12 - 5 = 525/7 = 75

3 0
3 years ago
A recent survey found that 65% of high school students were currently enrolled in a math class, 43% were currently enrolled in a
Bas_tet [7]
<h3>Answer: Choice A)  0.20</h3>

===================================================

Explanation:

Let's say there are 1000 students. The students must take math, science or they can take both simultaneously.

  • 65% of them are in math. So there are 0.65*1000 = 650 math students.
  • 43% are in science, leading to 0.43*1000 = 430 science students.
  • 13% are in both so we have 0.13*1000 = 130 students who are in both.

Now onto the sentence that says "Suppose a high school student who is enrolled in a math class is selected at random"

This means we only focus on the 650 math students and ignore the 1000-650 = 350 students who aren't in math.

Of those 650 math students, 130 are also in science (since 130 are in both classes).

The probability we're after is therefore 130/650 = 0.20

4 0
3 years ago
Read 2 more answers
leslie needs to roll an 8 with 2 dice to win a game. How many possible outcomes are these for her to win?
bekas [8.4K]

Answer:there are 36 outcomes with 2 dice, there are 6 outcomes that have the number 8

Step-by-step explanation:


6 0
3 years ago
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