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3 years ago

Geometry Question- Triangles

Mathematics

1 answer:

xz_007 [3.2K]3 years ago

5 0

The answer is D) 1/4

We draw the triangle and we notice triangle ABC is similar to DBE so all the sides will be in proportion.

Since AC is 4 times longer than DE, all the sides of triangle ABC will be 4 times longer.

Then if the perimeter of ABC was lets say 8, DBE would have a perimeter of 2.

D is the answer :)

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A car enters an interstate highway 20 mi north of a city. The car travels north at an average speed of 58 mph. Which equation mo

HACTEHA [7]

The answer would be 20 d = h + 58

3 0

2 years ago

Write 1.4 over 7 in simplest form

Nana76 [90]

2/10 because 0.7/7 is equal to one tenth, so 1.4/7 is equal to 2/10

7 0

2 years ago

Determine if events A and B are mutually exclusive.

gladu [14]

Answer:

A) Not mutually exclusive

Step-by-step explanation:

Given

$P(A) = \frac{1}{4}$

$P(B) = \frac{3}{5}$

$P(A\ or\ B) = \frac{7}{10}$

Required

Determine if they are mutually exclusive or not

Mutually exclusive are defined by:

$P(A\ or\ B) = P(A) + P(B)$

So, we have:

$P(A\ or\ B) = \frac{1}{4} + \frac{3}{5}$

Take LCM

$P(A\ or\ B) = \frac{5+12}{20}$

$P(A\ or\ B) = \frac{17}{20}$

By comparing:

$P(A\ or\ B) = \frac{17}{20}$ ---- Calculated

$P(A\ or\ B) = \frac{7}{10}$ ---- Given

We can conclude that A and B are not mutually exclusive because:

$\frac{17}{20} \ne \frac{7}{10}$

6 0

3 years ago

What value of t makes (-2) +(-11) = t a true sentence?

Bas_tet [7]

Answer:

t = -13

Step-by-step explanation:

Given expression:

(-2) +(-11) = t

Solving for t:

-13 = t
t = -13

8 0

3 years ago

Eve is making a bird house. To make the walls she takes a piece of wood and cuts it into 4 pieces in the ratio 5:6:6:7. The long

allsm [11]

Answer:

The original piece of wood is 108 cm

Step-by-step explanation:

From the given ratio, the shortest is of the ratio 5 and the longest is of the ratio 7

Let the original piece of wood be x

so the sum of the ratios will be;

5 + 6 + 6 + 7 = 24

the shortest length would be 5/24 * x

= 5x/24

the longest will be 7/24 * x = 7x/24

From the question;

7x/24 -5x/24 = 9

(7x-5x) = 24(9)

2x = 24(9)

x = (24 * 9)/2

x = 108 cm

4 0

2 years ago