FIND THE SCALE FACTOR GIVEN TRIANGLE ABC~TRIANGLE DEF

then
USE THE THE SCALE FACTOR TO FIND X

then
USE THE SCALE FACTOR TO FIND Y
PLEASE HELP ILL CASH APP MONEY!

x = 14.4

y = 11.25

Step-by-step explanation:

✔️Find x:

Given that ∆ABC is similar to ∆DEF, it follows that their corresponding sides must be proportional to each other.

Thus:

AB = 15

DE = 12

AC = 18

DF = x

Plug in the values

Cross multiply

Divide both sides by 15

x = 14.4

✔️Find y:

AB = 15

DE = 12

BC = y

EF = 9

Plug in the values

Multiply both sides by 9

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation:

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

click to let others know, how is it

0.0

0 votes

1

report

read more on -

step-by-step explanation: