All categories

4 years ago

3. Given the following similar triangles. Find the values of variables and label all the unknown angles

Mathematics

1 answer:

astraxan [27]4 years ago

8 0

Answer:

The answer to your question is x = 6 and y = 9

Step-by-step explanation:

Data

AB = x DF = 18

BC = 5 FE = 15

AC = 3 DE = y

Process

1.- Find y

Use proportions to find it

DE/FE = AC/BC

Substitution

y/15 = 3/5

Solve for y

y = 15(3/5)

y = 45/5

y = 9

2.- Find x

AB/DF = BC/FE

Substitution

x/18 = 5/15

Solve for x

x = 18(5/15)

x = 90/15

x = 6

You might be interested in

Any help would be great.

Ket [755]

Answer:

log7

Step-by-step explanation:

We are given the following expression in terms of log and we are to solve it:

log (14/3) + log (11/5) - log (22/15)

Just to recall, when we divide two values that have the same base, we basically subtract the exponents.

So applying this rule here to get:

(log11 - log5) + (log14 - log3) - (log22 - log15)

= log11 - log5 + log14 - log3 - log2×11 + log5.3

= loh11 - log5 + log14 - log3 - log2 - log11 + log5 + log3

Cancelling out the like terms to get:

= log14 - log2

= log 14/2

= log7

8 0

4 years ago

Find the domain of the expression: the square root of x+8

kari74 [83]

Set the expression inside the square root greater than or equal to zero. : Solve the equation.Write the answer using interval notation.

3 0

4 years ago

Read 2 more answers

The length of a rectangular football field, including both end zones, is 120 yards. The area of the field is 57,600 square feet.

egoroff_w [7]

Answer:

3a.False,the width is 53.33 yards

3b.true, the Length is 120 yards=360 feet

3c.True, width of the field is 160 feet.

3d. True,rea of the field is 6,400 square yards.

Step-by-step explanation:

Hello , I think I can help you with this

to solve this you must know the equivalence between feet and yard, which is

3 feet = 1 yard

Also, the area of a rectangle is the product of its length by its width

Area=length *width

Step 1

convert 120 yards into feet using a rule of three

3 feet = 1 yard

x feet= 120 yards

3/1=x/120

x=(120*3)/1

x=360 feet

120 yards= 360 feet

Step 2

isolate the width from the area´s equation to find out it.

Area=57600 square feet

length=360 feet

Area=length *width

width=Area/length

Width=57600 square feet/360 feet

Width=160 feet

Step 3

convert 160 feet into yards

1 yard= 3 feet

x yard= 160 feet

1/3=x/160

x=(1*160)/3

x=53.33 yards

width=53.33 yards

the area is (square yards)

Area=120 yards*53.33 yards

Area=6400 square yards

Step 4

Answer the questions.

3a.False,the width is 53.33 yards

3b.true, the Length is 120 yards=360 feet

3c.True, width of the field is 160 feet.

3d. True,rea of the field is 6,400 square yards.

Have a nice day.

7 0

3 years ago

What is the unit price for 3 1/4 yards for $13?

elixir [45]

Greetings!

$3 \frac{1}{4} /3\frac{1}{4}=1$
Therfore to find the cost for unit, we must divide the cost by:
$3 \frac{1}{4}$

$=13/3\frac{1}{4}$
Simplify.
$=\frac{13}{1} /3\frac{1}{4}$
Convert mixed number into improper fraction.
$=\frac{13}{1} /\frac{13}{4}$
Simplify.
$=\frac{13}{1}*\frac{4}{13}$
$=\frac{52}{13}$
Convert back to mixed number.
$=4$

The unit cost for a yard is $4.

Hope this helps.
-Benjamin

6 0

3 years ago

Draw 4 circle shade 2 circle

marishachu [46]

Out of 4 circles, 2 of them are shaded in
2 out of 4 are shaded
How many are shaded?
2/4 or 1/2

So half of the drawn circles are shaded.

Hope this helps!

7 0

3 years ago