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3 years ago

Urgent sos!!! find x if triangle abc is congruent to triangle def

Mathematics

1 answer:

LenKa [72]3 years ago

8 0

If triangle ABC is congruent to triangle DEF, their interior angles are congruent, because congruent parts of congruent triangles are congruent (CPCTC).

That means ∠D is congruent to ∠A; ∠D is equal to 8x - 2.

Interior angles of all triangles add to equal 180 degrees, so you can set the sum of these interior angle values equal to 180 and solve for x.

180 = (8x - 2) + 22 + 72

180 = 8x - 2 + 22 + 72

180 = 8x + 92

88 = 8x

11 = x

Answer:

x = 11

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A hotel claims that 8585% of its customers are very satisfied with its service. complete parts a through d below based on a ran

jek_recluse [69]

We can solve this problem using the binomial distribution. A binomial distribution<span> can be thought of as a success or failure outcome in an experiment or survey that is repeated multiple times.
</span>Probability function of binomial distribution has the following form:
$P= \frac{n!}{k!(n-k)!} p^k(1-p)^{n-k}$
p represents the probability of each choice we want. k is the number of choices we want and n is the total number of choices.
In our case p=0.85, k=5 and n=6.
We can now calculate the answer:
$P= \frac{6!}{5!(6-5)!} 0.85^5(1-0.85)^{6-5}=0.39$
The probability is 39%.
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7 0

4 years ago

Triangle XYZ is rotated 90° counterclockwise about the origin.

sergeinik [125]

Answer:

i think 42

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Determine whether the statement is sometimes, always, or never true. If ax+b-4=b and doesn’t equal 0 then x=4/a?

attashe74 [19]

Start with expression $ax+b-4=b.$

1. Separate terms - with x leave in left side, without x write in right side:

$ax=b-b+4,\\ \\ax=4.$

2. Divide the last expression by a ( $a\neq 0$ ):

$x=\dfrac{4}{a}.$

Answer: this statement is true when $a\neq 0$ .

4 0

3 years ago

Vichy reads at a constant rate. She can read 5 pages

vagabundo [1.1K]

Answer:

p = (5t)/9

Step-by-step explanation:

9 mins ---------- 5 pages

1 min -------------5/9 page

t mins ------------5/9 x t pages

Thus

p = (5t)/9

7 0

3 years ago

What is the vertex form of the parabola whose standard form equation is y=5x^2-30x+49

agasfer [191]

Answer:

The vertex is (3,4)

Step-by-step explanation:

To convert a quadratic from

y = a x 2 + b x + c

form to vertex form,

y = a ( x − h ) 2 + k , you use the process of completing the square.

First, we must isolate the x

terms:

y − 49 = 5 x 2 − 30 x + 49 − 49

y − 49 = 5 x 2 − 30 x

We need a leading coefficient of 1

for completing the square, so factor out the current leading coefficient of 2.

y − 49 = 5 ( x 2 − 6 x )

Next, we need to add the correct number to both sides of the equation to create a perfect square. However, because the number will be placed inside the parenthesis on the right side we must factor it by

on the left side of the equation. This is the coefficient we factored out in the previous step.

y − 49 + ( 5 ⋅ ? ) = 5 ( x 2 − 6 x + ? )

<- Hint:

62 = 3 ; 3 ⋅ 3 = 9

y − 49 + ( 5 ⋅ 9 ) = 5 ( x 2 − 6 x + 9 )

y− 49 + 45 = 5 ( x 2 − 6 x + 9 )

y − 4 = 5 ( x 2 − 6 x + 9 )

Then, we need to create the square on the right hand side of the equation:

y − 4 = 5 ( x − 3 ) 2

Now, isolate the y term:

y − 4 + 4 = 5 ( x − 3 ) 2 + 4

y − 0 = 5 ( x − 3 ) 2 + 4

The vertex is:

( 3 , 4 )

7 0

3 years ago