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2 years ago

Given right triangle DEF, what is the value of tan(F) 9/41 40/41 40/9 41/9

Mathematics

2 answers:

Rom4ik [11]2 years ago

7 0

Check the picture below.

11Alexandr11 [23.1K]2 years ago

4 0

The answer is C.) 40/9

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What is the value of $x$ if $-\frac23(x-5) = \frac32(x+1)$?

Ipatiy [6.2K]

Answer:

x = (-29)/5

Step-by-step explanation:

Solve for x:

(2 (x - 5))/3 = (3 (x + 1))/2

Multiply both sides by 6:

(6×2 (x - 5))/3 = (6×3 (x + 1))/2

6/3 = (3×2)/3 = 2:

2×2 (x - 5) = (6×3 (x + 1))/2

6/2 = (2×3)/2 = 3:

2×2 (x - 5) = 3×3 (x + 1)

2×2 = 4:

4 (x - 5) = 3×3 (x + 1)

3×3 = 9:

4 (x - 5) = 9 (x + 1)

Expand out terms of the left hand side:

4 x - 20 = 9 (x + 1)

Expand out terms of the right hand side:

4 x - 20 = 9 x + 9

Subtract 9 x from both sides:

(4 x - 9 x) - 20 = (9 x - 9 x) + 9

4 x - 9 x = -5 x:

-5 x - 20 = (9 x - 9 x) + 9

9 x - 9 x = 0:

-5 x - 20 = 9

Add 20 to both sides:

(20 - 20) - 5 x = 20 + 9

20 - 20 = 0:

-5 x = 9 + 20

9 + 20 = 29:

-5 x = 29

Divide both sides of -5 x = 29 by -5:

(-5 x)/(-5) = 29/(-5)

(-5)/(-5) = 1:

x = 29/(-5)

Multiply numerator and denominator of 29/(-5) by -1:

Answer: x = (-29)/5

4 0

2 years ago

7. In the figure below, lines p and q are parallel. The measure of 23 = 126°.

damaskus [11]

Answer:

You just subtract 126 degrees from 180 degrees = 34 degrees for all angles

8 0

2 years ago

Which of the following terms appear in the expression of (x+y)^10? The letter a in each term represents a real constant.

Ipatiy [6.2K]

A,B,D because the sum of the powers of variables in each term of the expansion is equal to the power the binomial is raised to.

5 0

2 years ago

Read 2 more answers

This figure shows △XYZ . MZ¯¯¯¯¯¯ is the angle bisector of ∠YZX . What is XM ? Enter your answer, as a decimal, in the box. unit

astraxan [27]

Answer:

Length of XM is 5.5 units.

Step-by-step explanation:

Given △XYZ where MZ is the angle bisector of ∠YZX . we have to find the length of XM.

A triangle with vertices X, Y, and Z. Side XZ is base. A line segment drawn from Z to M bisects ∠YZX into two parts ∠YZM and ∠XZM.

YZ=7 units, XZ=11 units and YM=3.5 units

By angle bisector theorem which states that an angle bisector of an angle divides the opposite side in two segments that are proportional to the another two sides of the triangle.

Hence, $\frac{YM}{MX}=\frac{YZ}{XZ}$

⇒ $\frac{3.5}{MX}=\frac{7}{11}$

⇒ MX=5.5 units.

Hence, length of XM is 5.5 units.

4 0

2 years ago

Read 2 more answers

When the average price of an item increases from p1 to p2 over a period of n years, the annual rate of inflation r (in decimal f

Natali [406]

Answer:

the annual rate of inflation r is 0.023

Step-by-step explanation:

Given by the expression:

$r=(\frac{p_2}{p_1})^{1/n}-1$

The average price of a gallon of milk increased from $0.36 in 1913 to $3.53 in 2013.

Let $p_1 = 0.36$

$p_2 = 3.53$

n = 2013 - 1913 = 100

replacing our values into the given equation; then the annual rate of inflation r is as follows:

$r=(\frac{3.53}{0.36})^{1/100}-1$

r = 0.023

Hence, the annual rate of inflation r is 0.023

5 0

2 years ago