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3 years ago

What is the value of x? 2 units 3 units 5 units 8 units

Mathematics

2 answers:

levacccp [35]3 years ago

7 0

Answer:

The value of x is 5 units.

C is correct.

Step-by-step explanation:

We need to solve for x from the given figure.

In ΔADB and ΔCDB

∠ABD=∠BCD (Corresponding angle of two right triangle)

∠ADB=∠CDB (Each 90°)

∴ ΔADB ≈ ΔCDB By AA similarity

If two triangles are similar then ratio of their corresponding height are same.

$\dfrac{BD}{DC}=\dfrac{AD}{BD}$

Substitute the value of side into the expression

$\dfrac{10}{4x}=\dfrac{x}{10}$

Cross multiply and solve for x

$10\times 10=x\times 4x$

$4x^2=100$

$x^2=25$

$x=\pm 5$

x can't be negative because side of triangle is positive.

Hence, The value of x is 5 units.

Simora [160]3 years ago

6 0

the correct answer is 5 on edge

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The physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. The d

kozerog [31]

Answer: 49.85%

Step-by-step explanation:

Given : The physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. The distribution of the number of daily requests is bell-shaped ( normal distribution ) and has a mean of 61 and a standard deviation of 9.

i.e. $\mu=61$ and $\sigma=9$

To find : The approximate percentage of lightbulb replacement requests numbering between 34 and 61.

i.e. The approximate percentage of lightbulb replacement requests numbering between 34 and $34+3(9)$ .

i.e. i.e. The approximate percentage of lightbulb replacement requests numbering between $\mu$ and $\mu+3(\sigma)$ . (1)

According to the 68-95-99.7 rule, about 99.7% of the population lies within 3 standard deviations from the mean.

i.e. about 49.85% of the population lies below 3 standard deviations from mean and 49.85% of the population lies above 3 standard deviations from mean.

i.e.,The approximate percentage of lightbulb replacement requests numbering between $\mu$ and $\mu+3(\sigma)$ = 49.85%

⇒ The approximate percentage of lightbulb replacement requests numbering between 34 and 61.= 49.85%

4 0

2 years ago

Johns dog slept for 3 hours if the dog snored every 1/3 of an hour how many times did he snore

Licemer1 [7]

The dog snored nine times. 1/3 of an hour is every 30 minute interval. 30 min + 30 min = 1 hour. Multiply this x3, and the answer is nine. A simpler way of thinking about this is 3 x 3 or 3 squared.

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3 years ago

Read 2 more answers

- slope = 2/7 ; y-intercept = 0

Yuri [45]

Answer:

y=2/7x

Step-by-step explanation:

y=mx+b where m=slope and b=y-intercept,

y=2/7x+0

y=2/7x

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