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expeople1 [14]
3 years ago
8

In ▵DEF, m ∠ D = 53 and m ∠ F = 68. What is m ∠ E?

Mathematics
1 answer:
Marizza181 [45]3 years ago
4 0

Answer: 59

Step-by-step explanation:

a triangle always equals 180 degrees. a+b+c= 180 so you would solve for e, 53+68+e= 180

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Please help me with this question!
gavmur [86]
First off, let's convert the percentages to decimal format, so our 77% turns to 77/100 or 0.77, and our 55% turns to 55/100 or 0.55 and so on

now, the sum of both salines, must add up to the 77% mixture, let's say is "y"
so, 11 + 4 = y, and whatever the concentration level is, must also sum up to the mixture's concentration of 77%

anyway   thus

\bf \begin{array}{lccclll}
&amount&concentration&
\begin{array}{llll}
concentrated\\
amount
\end{array}\\
&-----&-------&-------\\
\textit{first sol'n}&11&x&11x\\
\textit{second sol'n}&4&0.55&2.20\\
------&-----&-------&-------\\
mixture&y&0.77&0.77y
\end{array}\\\\
-------------------------------\\\\
\begin{cases}
11+4=y\implies 15=\boxed{y}\\
11x+2.2=0.77y\\
----------\\
11x+2.2=0.77\cdot \boxed{15}
\end{cases}

solve for "x"
6 0
4 years ago
1. 6(4x+1)=78<br>2. 2(x+10)=60<br><br>Solve for x​
postnew [5]

Answer:

1. x= -3

2. x= 20

Step-by-step explanation:

sorry if this is wrong,

7 0
3 years ago
In the general population, one woman in eight will develop breast
MArishka [77]

Answer:

a) 8/10

b) 0.001 \overline{33}

c) Independent events

Step-by-step explanation:

The given information are;

The proportion of women than carries a mutation of the BRCA gene, P(A) = 1/600

The proportion of women in which the mutation develops breast cancer, P(B) = 8/10

a) The probability that a randomly selected woman will develop breast cancer given that she has a mutation of the BRCA gene is given as follows;

1 × P(B) = 1 × 8/10 = 8/10

b) The probability, P that a randomly selected woman woman will carry the mutation of the BRCA gene and will develop breast cancer is given as follows;

P(A) × P(B) = 1/600×8/10 = 1/750 = 0.001 \overline{33}

c) The events are dependent

Given that P(A) × P(B) = P(A∩B), the events of carrying the mutation and developing Breast cancer are independent events.

4 0
4 years ago
Find a function ω(x) such that the function f(x) = sin(ω(x)) has the roots at π, π2
atroni [7]

So, I came up with something like this. I didn't find the final equation algebraically, but simply "figured it out". And I'm not sure how much "correct" this solution is, but it seems to work.

f(x)=\sin(\omega(x))\\\\f(\pi^n)=\sin(\omega(\pi^n))=0, n\in\mathbb{N}\\\\\\\sin x=0 \implies x=k\pi,k\in\mathbb{Z}\\\Downarrow\\\omega(\pi^n)=k\pi\\\\\boxed{\omega(x)=k\sqrt[\log_{\pi} x]{x},k\in\mathbb{Z}}

8 0
3 years ago
Please help, i need the answer soon, ill give brainliest :)
MrRa [10]

Answer:

If I could get the values of a, b, and c i'd solve the whole thing.

Step-by-step explanation:

8a + 9b divided by 8a - 9b =

9b + 5c divided by 18b - 10c =

5c + 8a divided by 15c - 24a

5 0
3 years ago
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