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4 years ago

find value of x when one is right angle and other is separated by 2 one of them is 55 (look at the fig for clear details )

Mathematics

2 answers:

tatyana61 [14]4 years ago

8 0

Answer:

$\huge \boxed{x=35}$

Step-by-step explanation:

Angles on a straight line add up to 180 degrees.

Right angle ⇒ 90 degrees

90 + x + 55 = 180

Subtract 90 and 55 from both sides.

90 + x + 55 - 90 - 55 = 180 - 90 - 55

Simplify the equation.

x = 35

Igoryamba4 years ago

7 0

Answer:

x = 35°

Step-by-step explanation:

→ Remember that angles on a straight line add up to 180°

x + 90° + 55° = 180°

→ Collect the whole numbers

x + 145° = 180°

→ Minus 145° from both sides to isolate x

x = 35°

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There is a competition at the local movie theater for free movie tickets. You must guess all four employees' ages given a few cl

Pie

Complete question :

There is a competition at the local movie theater for free movie tickets. You must guess all four employees' ages given a few clues. The first clue is when their ages are added together the sum is 106. Kirk is 2 times the quantity of ten years less than the manager's age, Brian is 12 years younger than twice the manager's age, ,and Matt is 6 years older than ½ the manager's age. What are all four of their ages? Be sure to show set up equation work and answer

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following clue :

Let manager's age = m

Kirk's age = k

Brian's age = b

Matt's age = a

Sum of their ages = 106

k = 2(m - 10) = 2m - 20

b = 2m - 12

a = 0.5m + 6

k + b + a + m = 106

Express all their ages in terms of m

2m - 20 + 2m - 12 + 0.5m + 6 + m = 106

5.5m - 20 - 12 + 6 = 106

5.5m - 26 = 106

5.5m = 106 + 26

5.5m = 132

m = 132 / 5.5

m = 24

Manager's age = 24 years

kirk = 2(24 - 10) = 2(14) = 28 years

Brian = 2(24) - 12 = 48 - 12 = 36 years

Matt = 0.5(24) + 6 = 12 + 6 = 18 years

5 0

3 years ago

Halla la fracción generatriz de 32,3454545...

Vladimir79 [104]

answer:

creo que la respuesta es 32 690909/2000000

step-by-step explanation:

**los pasos están en la imagen**

buena suerte :)

espero que esto ayude

**por favor avíseme si esto es incorrecto / no es lo que estaba buscando o ambos**

que tenga un lindo día!

5 0

3 years ago

Day care centers expose children to a wider variety of germs than the children would be exposed to if they stayed at home more o

Ostrovityanka [42]

Answer:

a) The study is an observational study

b) The proportion of children with significant social activity in children with acute lymphoblastic leukemia is approximately 0.802

The proportion of children with significant social activity in children without acute lymphoblastic leukemia is approximately 0.8565

c) The odds ratio is approximately 0.6780

d) The 95% CI is approximately 0.523 < OR < 0.833

e) i) Yes

ii) Children with more social activity have a higher occurrence of acute lymphoblastic leukemia

Step-by-step explanation:

a) An experimental study is a study in which the researcher adds inputs to the study and then monitors the outcomes

An observational study is one in which the researcher observes risk factors and does not intervene in the process

Therefore, the study is an observational study

b) The proportion of children with significant social activity in children with acute lymphoblastic leukemia is $\hat p_1$ = 1020/1272 = 85/106 = $0.8\overline {0188679245283}$ ≈ 0.802

The proportion of children with significant social activity in children without acute lymphoblastic leukemia is $\hat p_2$ = 5343/6238 ≈ 0.8565

c) We have the following two way table;

$\begin{array}{ccc}Lymphoblastic \ Leukemia &With \ Social \ Activity & Without \ Social \ Activity\\With&1020 \ (a)&252 \ (b)\\Without&5343 \ (c)&895 \ (d) \end{array}$

$The \ odds \ ratio = \dfrac{1,020 \times 895}{5,343 \times 252} \approx 0.6780$

The odds ratio ≈ 0.6780

d) The 95% confidence interval for the odds ratio is given as follows;

$95 \% \ CI = OR \ \pm \ 1.96 \times \sqrt{\dfrac{1}{a} +\dfrac{1}{b}+\dfrac{1}{c}+\dfrac{1}{d}}$

Where;

a = 1020, b = 252, c = 5343, d = 895

Therefore;

$95 \% \ CI \approx 0.6780 \ \pm \ 1.96 \times \sqrt{\dfrac{1}{1,020} +\dfrac{1}{252}+\dfrac{1}{5,343}+\dfrac{1}{895}} \approx 0.678 \pm0.155$

The 95% CI ≈ 0.523 < OR < 0.833

e) i) Given that the observed Odds Ratio is within the Confidence Interval, therefore, there is an indication that the amount of social activity is associated with acute lymphoblastic leukemia

ii) Based on the proportion of the study findings, children with more social activity have a higher occurrence of acute lymphoblastic leukemia

6 0

3 years ago

A linear equation through the origin with a slope of negative three

Licemer1 [7]

I believe that the answer to your question in b = 0.

7 0

3 years ago

Read 2 more answers

Simplify (-5-√3)^2 .

sweet [91]

Answer:

Step-by-step explanation:

$(-5-\sqrt{2})^2 =(-1)^2 \cdot (5 + \sqrt{2})^2 = (5 + \sqrt{2})^2 = 25 + 10\sqrt{2} + 2 = 27 + 10 \sqrt{2}$

6 0

4 years ago

find value of x when one is right angle and other is separated by 2 one of them is 55 (look at the fig for clear details ) ​

find value of x when one is right angle and other is separated by 2 one of them is 55 (look at the fig for clear details )