If a = -4 what is the value of 3a?

Which equation can be use to solve for x in the parallelogram below ?

Sauron [17]

Answer:

Below.

Step-by-step explanation:

I can't read it very well but one equation might be

2x + 8 = 3x - 12

(because the opposite sides of a parallelogram are congruent.

7 0

2 years ago

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Identify the theorem or postulate that is related to the measures of the angles in the pair, and find the unknown angle measures

aleksley [76]

Angles formed when two parallel are intersected by a common transversal include, corresponding, alternate interior and exterior, same-side interior, and vertically opposite angles

The correct option is Same–Side Int. ∠s Thm. m∠1 = 30°, m∠5 = 150°

The reason the selection is correct is as follows:

The given angles are;

m∠1 = (30·x - 30)°. m∠5 = (40·x + 70)°

∠1, and ∠5, are located on the same side of the transversal and are both formed on the interior side of the parallel lines

Therefore, they are same–side interior angles

Same side interior angles theorem states that same side interior angles formed between parallel lines are supplementary

Therefore, we have;

m∠1 + m∠5 = 180°

Which gives;

(30·x - 30)° + (40·x + 70)° = 180°

(70·x + 40)° = 180°

70·x = 180° - 40° = 140°

$x = \dfrac{140^{\circ}}{70} = 2^{\circ}$

m∠1 = (30·x - 30)° = (30 × 2 - 30)° = 30°

m∠1 = 30°

m∠5 = (40·x + 70)° = (40 × 2 + 70)° = 150°

m∠5 = 150°

The correct option is therefore;

Same-Side Int. ∠s Thm. m∠1 = 30°, m∠5 = 150°

Learn more about parallel lines cut by a transversal here:

brainly.com/question/533025

8 0

2 years ago

you have 4500 cubic centimeters of wax. how many cylindrical candles can you make from the wax if each candle is 15 cm tall and

ira [324]

Use the formula for the volume of a cylinder to work out how much wax you need to make one candle.

π×5²×15 = 375π

Then divide the amount of wax you have by the amount of wax you need to produce one candle to work out how many candles you can make.

4500 ÷ 375π = 3.82

However, you can't produce 82% of a candle, so you have to round down to 3 candles.

8 0

3 years ago

What is 67 x 578 divide by 5?

MA_775_DIABLO [31]

Answer:

7745.2

Step-by-step explanation:

you need to multiply 67 by 578 which is 38726. then you divide it by 5. In short, you can just use calculator or you can use scratch paper.\

3 0

3 years ago

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g (15 points) Suppose 42 out of 600 rats exposed to a potential carcinogen develop tumors. A control group of 350 rats not expos

vazorg [7]

Answer:

a) The relative risk is 1.8 $\overline{846153}$

b) The attributable risk is $0.69 \overline{047619}$

c) There is a relationship between exposure and tumor risk

Step-by-step explanation:

The number of exposed rats that develop tumors, a = 42

The number of rats exposed to the carcinogen = 600 rats

The number of exposed rats that did not develop tumors, b = 600 - 42 = 558

The number of not exposed rats in the control group = 350 rats

The number of rats that develop tumors in the control group, c = 13 tumors

The number of not exposed rats that did not develop tumors, d = 350 - 13 = 337 rats

a) The relative risk, RR = a/(a + b)/(c/(c + d))

∴ RR = (42/(42 + 558))/(13/(13 + 337)) = 49/26 = 1.8 $\overline{846153}$

b) The attributable risk = (a - c)/a

∴ The attributable risk = (42 - 13)/42 = $0.69 \overline{047619}$

c) The odds ratio = (a·b)/(c·d)

∴ The odds ratio = 42 × 558/(13 × 337) = 23439/4381 ≈ 5.35

Given that the result of attributable risk is positive, there is an indication that there is a higher probability to develop tumor when exposed to the potential carcinogen, therefore, there is a relationship between exposure and tumor risk

7 0

3 years ago