All categories

3 years ago

Point D is between Points E and F. DE = 3x + 9, DF = 12x - 1 and EF = 38. Find DE and DF.

Mathematics

1 answer:

jarptica [38.1K]3 years ago

7 0

Answer:

DE = 15

DF = 23

Step-by-step explanation:

E___D___F

EF = DE + DF

38 = (3x +9) + (12x-1)

38 = 15x + 8

15x = 38 - 8

15x = 30

x = 30/15

x = 2

DE = 3x + 9 = 3(2) + 9 = 6 + 9 = 15

DF = 12x - 1 = 12(2) - 1 = 24 - 1 = 23

I hope I helped you^_^

You might be interested in

Set up a proportion to solve for x in the following similar triangles,

fredd [130]

Answer:

x = 14

Step-by-step explanation:

Since the triangles are similar then corresponding sides are in proportion, that is

$\frac{15}{x-4}$ = $\frac{12}{8}$ ( cross- multiply )

12(x - 4) = 120 ( divide both sides by 12 )

x - 4 = 10 ( add 4 to both sides )

x = 14

6 0

3 years ago

What is the value of x? 2 3 6 7

Romashka-Z-Leto [24]

Answer:

x = 2

Step-by-step explanation:

By the property of intersecting chords outside of the circle.

$EC \times ED = EB \times EA \\ (x + 4)(x + 4 + 1) = (x + 1)(x + 1 + 11) \\ (x + 4)(x + 5) = (x + 1)(x + 12) \\ {x}^{2} + (4 + 5)x + 20 = {x}^{2} + (1 + 12)x + 12 \\ 9x + 20 = 13x + 12 \\ 9x - 13x = 12 - 20 \\ - 4x = - 8 \\ x = \frac{ - 8}{ - 4} \\ \huge \red{ \boxed{x = 2}}$

7 0

4 years ago

Read 2 more answers

Solve the following inequality -6 > - 3c

Inessa05 [86]

Dividing both sides by-3
the division sign will still be the same
your answer is c>2

4 0

4 years ago

Answer truthfully pleaseeeeee

alexandr1967 [171]

Answer:

1/4

Step-by-step explanation:

i took the quiz

3 0

3 years ago

Solve the equation. Identify any extraneous solutions

Lelu [443]

Squaring both sides of the given equation: w^2=7w, or w^2-7w=0.

w^2-7w=0 can be factored: w(w-7)=0. Then, w=7 or w=0. Both 0 and 7 are solutions of this equation.

4 0

4 years ago