How many lines of symmetry does the isosceles trapezoid have

Answers

Answer 1
Answer:

Answer:

  one

Step-by-step explanation:

The one line of symmetry for an isosceles trapezoid is the line that connects the midpoints of the parallel bases.


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Explain how the quotient of powers was used to simplify this expression 5^4/25=5^2

Answers

because 25 is 5^2 you can rewrite it as such
this gets you 
(5^4)/(5^2)  which you can then subtract the exponents since the base is the same, and 4-2=2

At the metal-casting company where you work, you must set up a conveyor system to move castings from the furnace to the heat treatment area 55 yards away. The castings cool at the rate of 0.3°F (degrees Fahrenheit) per second and must not be allowed to cool more than 7°F before being heat treated. What is the minimum speed, in feet per second, that the conveyor must move?

Answers

Answer:

the minimum speed, in feet per second, that the conveyor must move is 7.07143 ft/sec

Step-by-step explanation:

Let's assume time it takes to cool is 't' seconds

so, we are given

The castings cool at the rate of 0.3°F (degrees Fahrenheit) per second

so, total change in temperature will be

=0.3* t

=0.3t

must not be allowed to cool more than 7°F before being heat treated

so, that temperature must be equal to 7

0.3t=7

now, we can solve for t

t=(7)/(0.3)

t=(70)/(3)sec

now, we are given length of casting is 55 yards

so, firstly we will change it into ft

1 yard =3 ft

so,

55 yard=3* 55 ft

55 yard=165 ft

so, we have

total length =55 ft

now, we can use speed formula

speed=(length)/(time)

we can plug values

speed=(165)/((70)/(3) )

so, speed is 7.07143 ft/sec


Answer:

7.07 is the answer i got as well

Step-by-step explanation:

Is -31/8 less than, greater than, or equal to -3.92

Answers

-31/8 equalss -3.88 so -3.88 > -3.92

Final answer:

-31/8 converts to -3.875 in decimal form. In the case of negative numbers, 'less than' refers to numbers further from zero. Therefore, -3.92 is 'less than' -31/8.

Explanation:

To answer this question, we first need to convert -31/8 into decimal form. Doing this, we get -3.875.

Now we can compare -3.875 and -3.92. When it comes to negative numbers, a number is 'less' if it is further from zero. In this case, -3.92 is further from zero than -3.875.

So, -31/8 is greater than -3.92. In other words, -3.92 is 'less than' -31/8.

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Find x and EF if BD is an angle bisector

Answers

The value of x will be;

⇒ x = 7/2

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

BD is an angle bisector.

Now,

In ΔBFG and ΔBFE;

∠G = ∠E = 90°

BF is common line.

∠GBF = ∠ FBE

Thus, ΔBFG ≅ ΔBFE

Hence, FG = FE

Substitute the values, we get;

⇒ FG = FE

⇒ 2x + 6 = 4x - 1

⇒ 6 + 1 = 4x - 2x

⇒ 7 = 2x

⇒ x = 7/2

Thus, The value of x will be;

⇒ x = 7/2

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2x+6=4x-1
add 1 to both sides
2x+7=4x
subtract 2x from both sides
7=2x
divide both sides by 2
3.5=x

To find EF, plug in the x value
4x-1
4(3.5)-1
14-1
EF=13

What is an equation of the line that passes through the points (2,1) and (6,-5)?

Answers

I would go with number 3.

Final answer:

The equation of the line that passes through the points (2,1) and (6,-5) is y = -3/2x + 4. This is calculated using the formula for a line y - y1 = m(x - x1) and the formula for slope.

Explanation:

In order to find the equation of the line passing through the points (2,1) and (6,-5), we can use the formula for a line y - y1 = m(x - x1). Here, m is the slope of the line. We can calculate the slope using the formula (y2 - y1) / (x2 - x1). Thus, for the points (2,1) and (6,-5), the slope m is (-5 - 1) / (6 - 2) = -6/4 = -3/2. We can substitute one pair of points and the slope into the line equation. Let's use (2,1). The equation of this line is then y - 1 = -3/2 * (x - 2). Simplifying, we get the equation of the line to be y = -3/2x + 4.

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3. A local charity sponsors a 5K race to raise money. It receives $55 per race entry and $10,000 in donations, but it must spend $15 per race entry to cover the cost of the race. Write and solve an inequality to determine the number of race entries the charity needs to raise at least $55,000.

Answers

On creating and solving the linear inequality based on the given conditions, the charity needs at least 1000 race entries to raise at least $55,000.

What is linear inequality?

Linear inequalities are the expressions where any two values are compared by the inequality symbols such as, '<', '>', '≤' or '≥'. These values could be numerical or algebraic or a combination of both.

Let the number of race entries be x.

5000 + 55x + 10000 - 15x >= 55000

40x >= 40000

x >= 1000

The charity needs at least 1000 race entries to raise at least $55,000.

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55-15= 40

55,000-10,000=45,000

45000/55=819


i think it is 819?