What is the value of x? Enter your answer in the box.

Mathematics

2 answers:

hichkok12 [17]3 years ago

8 0

Answer:

x = 25

Step-by-step explanation:

Step 1: Identify the similar triangles

Triangle DQC and triangle DBR are similar

Step 2: Identify the parallel lines

QC is parallel to BR

Step 3: Find x

DQ/QB = DC/CR

40/24 = x/15

x = 25

Sever21 [200]3 years ago

8 0

Answer: $x=25$

Step-by-step explanation:

In order to calculate the value of "x", you can set up de following proportion:

$\frac{BQ+QD}{QD}=\frac{RC+CD}{CD}\\\\\frac{24+40}{40}=\frac{15+x}{x}$

Now, the final step is to solve for "x" to find its value.

Therefore, its value is the following:

$1.6=\frac{15+x}{x}\\\\1.6x=x+15\\\\1.6x-x=15\\\\0.6x=15\\\\x=\frac{15}{0.6}\\\\x=25$

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3 years ago

Help I'm not sure if this is the answer? (This question is about trigonometric ratios)

dem82 [27]

9514 1404 393

Answer:

(b) 15.32

Step-by-step explanation:

You can use your triangle sense to answer this.

The side x will always be shorter than the hypotenuse, 20. This eliminates the last two choices.

If the angle is 45°, then the sides are equal at about 0.707 times the length of the hypotenuse. That would make them 0.707×20 = 14.14. Since the angle is greater than 45°, the opposite side will be greater than 14.14. Only one answer choice fits between 14 and 20: the second choice -- 15.32.

The mnemonic SOH CAH TOA reminds you of the relation ...

Sin = Opposite/Hypotenuse

sin(50°) = x/20

x = 20×sin(50°) . . . . multiply by 20 to find x

x ≈ 15.32 . . . . . . . . . use your calculator to evaluate

The attachment is intended to show how the triangle side lengths change with angle.