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Alex
3 years ago
6

Triangle ABC is similar to triangle FGH.

Mathematics
1 answer:
Shkiper50 [21]3 years ago
3 0

Answer:

GH = 22.5

Step-by-step explanation:

Since ∆ABC is similar to ∆FGH, therefore:

\frac{AC}{FH} = \frac{BC}{GH}

Plug in the values

AC = 12 cm

FH = 18 cm

BC = 15 cm

GH = ??

Plug in the values

\frac{12}{18} = \frac{15}{GH}.

Cross multiply

12*GH = 270

Divide both sides by 12

GH = 22.5

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Triangle E D F has sides that are of varying lengths. Side E D has a length of 4 and side E F has a length of 9.
9966 [12]

Answer:

D E + E F greater-than D F

5 less-than D F less-than 13

Triangle D E F is a scalene triangle

Step-by-step explanation:

we know that

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

we have the triangle EDF

where

ED=4\ units\\EF=9\ units

<u><em>Applying the triangle inequality theorem</em></u>

1)

ED+EF > DF\\4+9 > DF\\13 > DF\\DF < 13\ units

2)

ED+DF > EF\\4+DF > 9\\DF > 5\ units

so

The length of DF is the interval -----> (5,13)

The triangle DEF is a scalene triangle (the three length sides are different)

therefore

<em>The statements that are true are</em>

D E + E F greater-than D F

5 less-than D F less-than 13

Triangle D E F is a scalene triangle

3 0
4 years ago
Read 2 more answers
Please answer this for me :)
atroni [7]

Answer:

d = 1.5

Step-by-step explanation:

yes

8 0
3 years ago
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the distribution of heights of adult American men is approximately normal with mean 68 in and a standard deviation of 2.5 in wha
melamori03 [73]

Let x be a random variable representing the heights of adult American men. Since it is normally distributed and the population mean and standard deviation are known, we would apply the formula,

z = (x - mean)/Standard deviation

From the information given,

mean = 68

standard deviation = 2.5

The probability that the height of a selected adult is between 63 and 73 is expressed as

P(68\leq x\leq73)

For x = 63,

z = (63 - 68)/2.5 = -2

Looking at the normal distribution table, the probability corresponding to the z score is 0.02275

For x = 73,

z = (73 - 68)/2.5 = 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.97725

Therefore,

P(68\text{ }\leq x\leq73)\text{ = 0.97725 - 0.0}2275\text{ = 0}.9545

Thus, the percentage of men are between 63 and 73 is

0.9545 * 100 = 95.45%

Rounding up to the nearest percentage, the answer is 95%

8 0
1 year ago
6) If the perimeter of the equilateral triangle ABC is x inches. The mid points of the sides are joined to form the smaller tria
Nataliya [291]

Answer:

96 in

Step-by-step explanation:

If the midpoints of the sides are joined to form the smaller triangle, then the perimeter of the smaller triangle is half the perimeter of the greater triangle, because the sides of the smaller triangle are midlines of the greater triangle. By the triangle's midline theorem, each triangle's midline is half the side to which this midline is parallel.

So, if the perimeter of 6th triangle is 3 inches, then the perimeter of 5th triangle is 6 inches, the perimeter of 4th triangle is 12 inches, the perimeter of 3rd triangle is 24 in, the perimeter of 2nd triangle is 48 in and the perimeter of the initial triangle is 96 in

6 0
3 years ago
Pls help!!! Which steps would you use to solve this equation? Check all that apply.
hram777 [196]

Answer:

you subtract 7 from both sides

Step-by-step explanation:

3 0
3 years ago
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