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babymother [125]
3 years ago
11

PLEASE PLEASE HELP WITH THIS

Mathematics
1 answer:
Phoenix [80]3 years ago
4 0
Since triangles ABC and BCD are similar, we can establish a proportion between the lengths of corresponding sides:
\frac{AC}{BC} = \frac{BC}{CD}

We can infer from our picture that BC=m. Also we can find the length of AC by adding AD and CD:
AC=AD+CD
AC=11+7
AC=18

Lets replace the values in our proportion:
\frac{AC}{BC} = \frac{BC}{CD}
\frac{18}{m} = \frac{m}{7}
Solving for m:
m^2=(18)(7)
m^2=126
m= \sqrt{126}

We can conclude that the correct answer is: D \sqrt{126}
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if the rate of change for one linear function is positive and for another is negative can they both be either increasing or decr
Alla [95]

Answer:

They can never be both either increasing or decreasing.

Step-by-step explanation:

If the rate of change i.e. the slope of one linear function is positive, that means the graph of the linear function makes angle which varies between 0° to 90° with respect to the positive direction of the x-axis.

Therefore, the function must be increasing.

Again, if the rate of change i.e. the slope of one linear function is negative, that means the graph of the linear function makes angle which varies between 90° to 180° with respect to the positive direction of the x-axis.

Therefore, the function must be decreasing.

Hence, if the rate of change of one linear function is positive and for another is negative, they can never be both either increasing or decreasing. (Answer)

6 0
3 years ago
The formula is m=4a+2c where c is the number of children, m=the number of meatballs, a=number of adults.
Trava [24]

Answer:

110

Step-by-step explanation:

m = 4a + 2c

a = 25, c = 5

m = 4(25) + 2(5)

m = 100 + 10

m = 110 meatballs

6 0
3 years ago
What is the base of the triangle when the area is 120ft and the height is 8ft
pochemuha

The base is 30.

Hopefully I got this correct, not 100%

7 0
3 years ago
Read 2 more answers
Dane's credit card has an APR of 16%, calculated on the previous monthly
ValentinkaMS [17]

The Answer is: $283.31

5 0
3 years ago
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Find a numerical value if one trigonometric function of x if tan2x-sin2x/sin2x=5
seropon [69]

Answer:

The values of x that satisfy the given equation are:

x1 = 1.183 + nπ

x2 = -1.183 + nπ

Step-by-step explanation:

Given tan²x - sin²x/sin²x = 5

Simplifying this, we have

tan²x - 1 = 5

Adding 1 to both sides, we have

tan²x = 6

Because tan²x = (tanx)², we can write as

(tanx)² = 6

Taking square roots of both sides, we have.

tanx = ±√6

x = arctan(±√6) + nπ

≈ 1.183 + nπ or -1.183 + nπ

4 0
3 years ago
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