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3 years ago

I NEED HELP WITH THIS PROBLEM

Mathematics

1 answer:

allochka39001 [22]3 years ago

3 0

In a triangle, the midline joining the midpoints of two sides is parallel to the third side and half as long

2(5x+2) = 3x + 32
10x + 4 = 3x + 32
10x - 3x = 32 - 4
7x = 28
x = 28/7
x = 4

The length of the midsegment = 5x+2 = 5·4 + 2 = 22

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4. ABCD below is a rectangle. BE=6x+2 and ED=4x+6. Find the length of AC.

Nikolay [14]

Answer:

28 units

Step-by-step explanation:

ABCD is a rectangle. AC and BD are diagonals intersecting at point E.

Diagonals of a rectangle bisect each other.

$\therefore BE = ED$

$\therefore 6x + 2 = 4x + 6$

$\therefore 6x - 4x= 6-2$

$\therefore 2x= 4$

$\therefore x= \frac{4}{2}$

$\therefore x= 2$

$\therefore 6x + 2= 6*2+2= 12+2= 14$

$\therefore BE= 14\: units$

$\because BD = 2BE$

$\therefore BD = 2(14)= 28\: units$

$\because AC = BD$ (diagonals of a are equal in measure)

$\therefore AC = 28\: units$

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3 years ago

Triangle XYZ has vertices X(–1, –3), Y(0, 0), and Z(1, –3). Malik rotated the triangle 90° clockwise about the origin. What is t

OLga [1]

Answer:

Option D.

Step-by-step explanation:

It is given that triangle XYZ has vertices X(–1, –3), Y(0, 0), and Z(1, –3).

Malik rotated the triangle 90° clockwise about the origin. So, rule of rotation is

$(x,y)\to (y,-x)$

Now,

$X(-1,-3)\to X'(-3,-(-1))=X'(-3,1)$

$Y(0,0)\to Y'(0,0)$

$Z(1,-3)\to Z'(-3,-(1))=Z'(-3,-1)$

The image points are X’(–3, 1), Y’(0, 0), Z’(–3, –1).

Therefore, the correct option is D.

6 0

3 years ago

What is the answer? Please help

goblinko [34]

Answer:

Step-by-step explanation:

One and three hundred and four thousand

1+ 3/100+ 4/1000

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3 years ago

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Olenka [21]

Answer:

8.34375 Round it to the nearest Hundred

Step-by-step explanation:

22.25×9 = 200.25 ÷24= 8.34375

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2 years ago

In your classroom, a dry erase board is 8 feet long and 4 feet wide. You teacher makes individual dry erase boards for you to us

hoa [83]

Answer:

Step-by-step explanation:

The ratio of length to width in the first is 2 : 1 while the ratio of the second is 23 : 19

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3 years ago