Given Δ ABC ≅ Δ EFG, What is the value of x? A. x= 45 °
B. x= 50 °
C. x= 85 °
D. x= 135 °
Given Δ ABC ≅ Δ EFG, What is the value - 1

Answers

Answer 1
Answer:

Answer:  The correct option is (A) 45.

Step-by-step explanation:  We are given that triangles ABC and EFG are congruent to each other, where

m\angle A=50^\circ,m\angle G=85^\circ,m\angle B=x^\circ.

We are to find the value of x.

We know that the corresponding angles of congruent triangles have equal measures.

So, m∠A = m∠E, m∠B = m∠F and m∠C = m∠G.

Also, since the sum of three angles of a triangle is 180 degrees, so from triangle ABC, we get

m\angle A+m\angle B+m\angle C=180^\circ\n\n\Rightarrow 50^\circ+85^\circ+x^\circ=180^\circ\n\n\Rightarrow 135^\circ+x^\circ=180^circ\n\n\Rightarrow x^\circ=180^\circ-135^\circ\n\n\Rightarrow x^\circ=45^\circ\n\n\Rightarrow x=45.

Thus, the required value of x is 45.

Option (A) is CORRECT.

Answer 2
Answer:

Answer:

A.   x = 45

Step-by-step explanation:

m<C = m<G = 85°

m<A + m<B + m<C = 180°

50° + x° + 85° = 180°

x = 45


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In a certain country, the life expectancy of a woman born in 1995 was 80.2 years. Between 1995 and 2005, the life expectancy increased 0.4 year every 5 years.

Answers

The Equation of life expectancy is x- 0.4(2) = 80.2.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

The life expectancy of a woman born in 1995 was 80.2 years.

The life expectancy increased 0.4 year every 5 years.

So, from 1995 to 2005 there are two times the life expectancy increase.

let the lifeexpectancy by x.

Thus, the equation is

x- 0.4(2) = 80.2

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Answer:

a. L - 0.4(2)= 80.2 or L - 80.2 = 0.4(2) or 80.2 + 0.4(2) = L

b. No; The equations must be equivalent. They may look different, but all equations can be rewritten as L= 80.2 + 0.4(2).

Step-by-step explanation:

3x squared plus 20x equals 3x plus 6

Answers

Answer:

x = -6

x = (1)/(3)

Step-by-step explanation:

A jewelry store marks its merchandise up by 80%. If the wholesale price of a bracelet is $55, what will the store charge for the retail price?help please

Answers

Final answer:

To find the retail price of the bracelet, we first calculate the markup, which is 80% of the wholesale price, and add it to the wholesale price. In this case, the retail price would be $99.

Explanation:

In this question, you're being asked to find out how much a jewelry store charges for a bracelet if they mark up the price by 80% from the wholesale price. The wholesale price is given as $55.

First, you need to find out what 80% of the wholesale price is. You can do this by multiplying the wholesale price ($55) by 0.80 (which is the equivalent of 80%). That gives you $44. This amount represents the markup the store adds to the wholesale price to get their retail price.

So, the retail price is the wholesale price ($55) plus the markup ($44). That brings you to a total of $99. So, the jewelry store would charge $99 for the bracelet.

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If a thermometer indicates 30 degrees Celsius, what is the temperature in degrees Fahrenheit? A. 54°F
B. 17°F
C. 24°F
D. 86°F

Answers


To calculate the Fahrenheit temperature:

-- Take the Celsius temp.
-- Multiply by 1.8 .
-- Then add 32 to the product.

   30°C  ==>  (30 x 1.8) = 54  ==>  54 + 32  =  86°F.
_____________________________________

To calculate the Celsius temperature:

-- Take the Fahrenheit temp.
-- Subtract 32 .
-- Multiply what's left by  0.55... (5/9 to be exact).

     86°F   ==>  (86 - 32) = 54   ==>  (54) x (5/9) =  30°C .
 

Answer:86F

Step-by-step explanation:

By using the 20 percent off coupon that she found in the newspaper, Jill saved $4 on the extra large bag of dog food that she bought. what was the cost of the dog food without the coupon?

Answers

The cost of the dog food without the coupon is $20.

What is the percentage?

The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %.

It is given that 4 dollars are 20% of the original price of the dog food. Let's have x be the original price of the dog food.

The cost of the dog food without the coupon is calculated as:-

4=x ( 20 )

To get x alone divide both sides by 20 and solve further.

( 4 / 20 )= ( x ( 20) / 20 )

Solve the above equation by cancelling 20 to get the value of x.

4/20=x

Divide 4 by 20 to get the answer and multiply by the value 100 to get the actual cost of the product.

x = 0.2 x 100 = 20

Therefore, the cost of the dog food without the coupon is $20.

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well if 20% x 5 is 100%
then $4 x 5 = $20
So without the coupon the dog food costs $20 

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A popular news article currently has 50,600 page views, and that number is rising 36% every hour. How many page views will the article have in seven hours? If necessary round your answer to the nearest whole number

Answers

Answer: 320,172 views

Step-by-step explanation: To figure this out first multiply 50,600 by .36, finding out what the 36% increase is, the get the answer which is 68,816. Then you continue and do that six more times to get the answer of 320,172.45573 which rounded is 320,172 views.