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3 years ago

AngleFBC and AngleCBG are supplements, AngleDBG and AngleDBF are supplements, and AngleCBG Is-congruent-to AngleDBF.

Mathematics

2 answers:

wlad13 [49]3 years ago

7 0

Answer:

FBC=DBG

Step-by-step explanation:

Edge 2020

alexira [117]3 years ago

5 0

Answer:

Step-by-step explanation:

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Please Answer Find the value of each variable

wlad13 [49]

Answer:

x=45 and y=45

Step-by-step explanation:

It is given that two variables are the side lengths of the box symbol that indicates it is a right angle. Since a right angle equals 90 degrees, It is safe to say that the two side lengths that make up the right angle are half of 90.

8 0

3 years ago

What is equivalent to -1/4y -2 1/4y + 1/2 (4-2y) a) -3y + 2 b) -3 1/2y + 2 c) -4y + 4

Amanda [17]

Answer:

B. -3 1/2y + 2

Step-by-step explanation:

Our expression is: $\frac{-1}{4} y-2\frac{1}{4} y+\frac{1}{2} (4-2y)$ .

Let's first distribute out that parentheses. Remember that distribution is simply taking the sum of the product of the outside term with each of the inside terms. Here, the outside term is 1/2 and the inside terms are 4 and -2y:

$\frac{1}{2} (4-2y)=\frac{1}{2} *4+\frac{1}{2} *(-2y)=2-y$

Now, we have:

$\frac{-1}{4} y-2\frac{1}{4} y+2-y$

We want to combine like terms, which means combining all the terms with y in them:

$\frac{-1}{4} y-2\frac{1}{4} y-y+2=\frac{-1}{4} y-\frac{9}{4} y-\frac{4}{4} y+2=\frac{-1-9-4}{4} y+2=\frac{-14}{4} y+2=\frac{-7}{2} y+2$

Remember that -7/2 can be written as the mixed number -3 1/2, so our final answer is:

-3 1/2y + 2

The answer is thus B.

~ an aesthetics lover

7 0

3 years ago

Find two consecutive even integers such that the square of the second, decreased by twice the first is 52

Fiesta28 [93]

Let the first integer be $x$ . So, the next even number is $x+2$

Let's translate the formula: the square of the second is $(x+2)^2$ , twice the first is $2x$ . So, the equation is

$(x+2)^2 - 2x = 52$

Expand the square to get

$x^2+4x+4-2x = 52 \iff x^2+2x+4 = 52 \iff x^2+2x - 48 = 0$

The solutions to this equations are

$x = -8,\quad x = 6$

So, the possible consecutive even numbers are

$-8\text{ and } -6\quad\text{or}\quad 6\text{ and } 8$

8 0

3 years ago

Evaluate the expression: 3a+4 a = 1.5 a = 1/3 a = 2

Nana76 [90]

Answer:

mathpapa.com

the place i got this from tbh i don't understand what you want for an answer but i tried, so here is a website that i got these from i hope it helps you.

Step-by-step explanation:

Evaluate for a= 1/3

3(1/3)+4(1/3) = 7/3

Evaluate for a= 1.5

(3)(1.5)+(4)(1.5)

=10.5

Evaluate for a=

(3)(2)+(4)(2)

=14

7 0

2 years ago

Assume that we have m coins. We toss each one of them n times. The probability of heads showing up for each coin isp. What’s the

olga nikolaevna [1]

Answer:

$1-(1-p^n)^m$

Step-by-step explanation:

For a coin, the probability of head showing in a single toss is $p$ .

$P(H)=p$

Its complement, the probability of not head is

$P(\Sim H)=1-p$

This is a binomial distribution. In $n$ tosses, the probability of having all heads (i.e. $n$ heads) is

$P(\text{all heads})=\binom{n}{n}p^n(1-p)^0=p^n$

Let's call this value $a$ .

For $m$ coins, we determine the probability of at least 1 coin showing all heads by first finding its complement i.e. the probability of no coin showing all heads. This is also a binomial distribution.

$P(\text{no coin showing all heads})=\binom{m}{0}a^0(1-a)^m=(1-a)^m$

$P(\text{at least 1 coin showing all heads})=1-P(\text{no coin showing all heads})$

$P(\text{no coin showing all heads})=1-(1-a)^m=1-(1-p^n)^m$

8 0

3 years ago