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3 years ago

The midsegment of a trapezoid is always parallel to each base true or false

Mathematics

1 answer:

Deffense [45]3 years ago

8 0

Answer:

True

Step-by-step explanation:

we know that

The Trapezoid Mid-segment Theorem states that : A line connecting the midpoints of the two legs of a trapezoid is parallel to the bases, and its length is equal to half the sum of lengths of the bases

see the attached figure to better understand the problem

EF is the mid-segment of trapezoid

EF is parallel to AB and is parallel to CD

EF=(AB+CD)/2

The mid-segment of a trapezoid is always parallel to each base

therefore

The statement is true

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A triangle has the following side lengths: x - 2, x, and 3x + 1. Another triangle has the following side lengths: 2x - 5, x + 4,

notka56 [123]

we know that

Perimeter of a triangle is equal to

P=a+b+c

where

a,b and c are the length sides of the triangle

Find the perimeter of the triangles

Triangle N 1

P=(x-2)+(x)+(3x+1)-------> P=5x-1

Triangle N 2

P=(2x-5)+(x+4)+(6x-7)------> P=9x-8

equate the perimeters

5x-1=9x-8--------> 9x-5x=-1+8-------> 4x=7

x=7/4------> x=1.75

therefore

the answer is

x=1.75

5 0

3 years ago

How many permutations can be made with the letters in the word Metallica

pentagon [3]

<h3>Answer: 90720 </h3>

===============================================

Explanation:

There are 9 letters in "Metallica", so there would be 9! = 9*8*7*6*5*4*3*2*1 = 362880 different permutations; however, this is only the case if we could tell the letters L and A apart.

We have two copies of each of those repeated letters, so we have to divide by 2!*2! = (2*1)*(2*1) = 4 to account for these repeats.

Because we can't tell the repeated letters apart, we really have (9!)/(2!*2!) = (362880)/(4) = 90720 different permutations.

5 0

3 years ago

Please help with this

Assoli18 [71]

Answer:

the answer is 34567

Step-by-step explanation:

im not lying just to get points

8 0

3 years ago

What is the difference between the smallest 6-digit whole number and the greatest four digit whole number

kupik [55]

First, lets start with the greatest 4-digit number. That would be 9,999.99999999999, with 9 to ∞, because the next number is a 5-digit number. The smallest 6-digit number is 100,000, because the number preceding 100,000 is a 4 digit number. To find difference, you have to subtract. 100,000 minus 9,999.9999 continued gives you 90,000.000000 to ∞ with a one with 1 at the end. You would write 90,000.01 with bar notation over only the 0 to indicate that it goes on to infinity.

6 0

3 years ago

Second time posting this. Please help!! :)

Vedmedyk [2.9K]

Answer:

Step-by-step explanation:

$\frac{480+24(x-40)}{x}$

The numerator of the rational expression the money he earned for 'x' hours

The rate at which William is paid for each hour in excess of 40 hours 24.

x = 50 hours = (40 + 10 ) hours

The amount paid for excess 10 hours = 24 *10 = 240

Total amount earned for the week = 480 + 240 = 720

5 0

3 years ago