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3 years ago

What is the value of x?

Mathematics

2 answers:

OLga [1]3 years ago

5 0

Answer:

x = 24

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

a = a leg

b = another leg

c = hypotenuse

Step 1: Plug in known variables

x² + 10² = 26²

Step 2: Evaluate

x² + 100 = 676

Step 3: Isolate x term

x² = 576

Step 4: Isolate x

√x² = √576

x = 24

tatiyna3 years ago

4 0

Answer:

$x=24$

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean Theorem.

The Pythagorean Theorem is:

$a^2+b^2=c^2$

The hypotenuse is c, and the legs are a and b.

Plug in 26 for c since 26 is the hypotenuse, and let 10 for a and x be b. Therefore:

$x^2+10^2=26^2$

Square:

$x^2+100=676$

Subtract 100 from both sides:

$x^2=576$

Take the square root of both sides:

$\sqrt{x^2}=\sqrt{576}\\x=\sqrt{576}=24$

The answer is 24.

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nirvana33 [79]

An equation that represents the minimum and maximum scores is; |x - 82| = 3.2.

<h3>How to write an absolute value equation?</h3>

The absolute value function is defined by:

f(x) = x, x ≥ 0.

f(x) = x, x < 0.

It measures the distance of a point x to the origin.

For this problem, the distance between the minimum and the maximum scores and the mean is of 3.2, that is, the difference between these scores x and the mean of 82 is of 3.2, hence the absolute value equation that represents this situation is given by:

|x - 82| = 3.2.

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2 years ago

Which transformation will map an isosceles trapezoid onto itself? rotation by 180° about its center, reflection across a diagona

alukav5142 [94]

Answer:

The correct option is 4.

Step-by-step explanation:

The non parallel sides of an isosceles trapezoid are congruent.

The image of an isosceles trapezoid is same as the preimage of isosceles trapezoid if

1. Reflection across a line joining the midpoints of parallel sides.

2. Rotation by 360° about its center.

3. Rotation by 360° about origin.

If we rotate the trapezoid by 180° about its center, then the parallel sides will interchanged.

If we reflect the trapezoid across a diagonal, then the resultant figure will be a parallelogram.

If we reflect across a line joining the midpoints of the nonparallel sides, then the parallel sides will interchanged.

After rotation by 360° about the center, we always get an onto figure.

Therefore option 4 is correct.

6 0

3 years ago

Read 2 more answers

Hodel just got her driver's license. Her parents offer her two options. 1. They'll buy her a used car that will cost her $0.50 p

Romashka-Z-Leto [24]

Answer:

The second option will cost her less than the first one.

Step-by-step explanation:

In order to solve this problem we will create two functions to represent the cost of the car in function of the miles drove by her.

For the first option we have:

$cost_1(x) = 0.5*x$

For the second option we have:

$cost_2(x) = 5000 + 0.1*x$

Since she intends to drive it for 10,000 miles per year for 6 years, then the total mileage she intends to drive her car is 60,000 miles. Applying this to the formula of each car and we have:

$cost_1(60000) = 0.5*60000 = 30000$