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3 years ago

What is the length of XZ?

Mathematics

2 answers:

Serjik [45]3 years ago

3 0

Answer:

The answer is 6 units.

Step-by-step explanation: Since the triangles are similar, they have a common factor between the two triangles. The side four units long on the smaller triangle corresponds to the side that is eight units long on the bigger triangle by two times. So, the side that is three units long should correspond to the side of the bigger triangle by two times, which would equal six units.

nadya68 [22]3 years ago

3 0

Answer:

XZ = 6

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

$\frac{AB}{XY}$ = $\frac{AC}{XZ}$ , substituting

$\frac{4}{8}$ = $\frac{3}{XZ}$ ( cross- multiply )

4XZ = 24 ( divide both sides by 4 )

XZ = 6

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Which equations are true?

dedylja [7]

Answer:

A and B

Step-by-step explanation:

A) Collect like terms

0=0

B) Collect like terms

0=0

A and B both correct

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2 years ago

Read 2 more answers

What is the value of x? The figure contains 2 lines that intersect to form what looks like an x. Two of the 4 angles in the x ar

Gnom [1K]

Answer:

$x=38.5^\circ$

Step-by-step explanation:

Given that the left angle = $(3x-3)^\circ$

The right angle across from it $= 6(x-10)^\circ$

The other two angles are x and x.

We know that the sum of angles at a point equals 360 degrees.

Therefore,

$(3x-3)^\circ+6(x-10)^\circ+x+x=360^\circ\\3x-3+6x-60+2x=360\\11x-63=360\\11x=360+63\\11x=423\\x=38.5^\circ$

The value of x is approximately 38.5 degrees.

6 0

3 years ago

What is 3 divided 76

shtirl [24]

0.0394736842 is the answer

Write 76 <span>)¯3¯¯
</span>
add a 0 next to the 3 ( you will have 30) then on top of the divison bar put a "." one space over the 3 so like
0.
76<span>)¯30¯¯ (lol)

since 76 still cant go into the 3 add another 0 to the 30 ( so you should now have 300) and a 0 next to the "." so you have 0.0 on top.

76 goes into 300 3 times wich is with a reminder of 72. (76x 300 is 228)

write a 3 next to the 0.0 so you have 0.03

write 228 under the 300

subtract. you get 72

write the 72

since 76 cant go into 72 add a 0 to the 300. Drop the 0 to the 72 so you have 720.

I think you can figure out the rest. If not tellme and I will do the next step and you can take it from there
</span>

6 0

3 years ago

Read 2 more answers

Item 19 The scale on a map is 1 cm:30 mi. The distance on the map between San Francisco, CA, and Chicago, IL, is 61.9 cm. What i

Harlamova29_29 [7]

Answer:

1857 miles.

Step-by-step explanation:

We have been given that the scale on a map is 1 cm:30 mi. The distance on the map between San Francisco, CA, and Chicago, IL, is 61.9 cm. We are asked to find the actual distance between San Francisco and Chicago.

We will use proportions to solve our given problem.

$\frac{\text{Actual distance}}{\text{Map distance}}=\frac{30\text{ miles}}{1\text{ cm}}$

Upon substituting map distance between San Francisco and Chicago, we will get:

$\frac{\text{Actual distance}}{61.9\text{ cm}}=\frac{30\text{ miles}}{1\text{ cm}}$

$\frac{\text{Actual distance}}{61.9\text{ cm}}\cdot 61.9\text{ cm}=\frac{30\text{ miles}}{1\text{ cm}}\cdot 61.9\text{ cm}$

$\text{Actual distance}=30\text{ miles}\cdot 61.9$

$\text{Actual distance}=1857\text{ miles}$

Therefore, the actual distance between San Francisco and Chicago is 1857 miles.

4 0

3 years ago

A certain drug dosage calls for 17 mg per kg per day and is divided into two doses (1 every 12 hours). If a person weighs 255 po

vekshin1

Answer:

985.15mg

Step-by-step explanation:

Calculation for how many milligrams of the drug should he receive every 12 hours

First step is to calculate the weight in kg

255 lbs = 255/2.2 = 115.9 kg

Second step is multiply mg/kg in order to get total medicine per day

Dose per day=115.9kg × 17 mg

Dose per day= 1,970.3

Third step is to calculate how many milligrams of the drug should he receive by dividing the day dose by 2

Dose milligrams=1,970.3/2

Dose milligrams=985.15mg

Therefore how many milligrams of the drug should he receive every 12 hours will be 985.15mg

3 0

3 years ago