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3 years ago

Which graph represents the solution set for - 4(1-x)<-12+2x?

Mathematics

2 answers:

Licemer1 [7]3 years ago

6 0

Yeah, I think that's the correct graph.

hichkok12 [17]3 years ago

4 0

It will be -4 going to the left ,closed circle

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Find the value of each variable and the measure of each labeled angle.

labwork [276]

Answer:

see explanation

Step-by-step explanation:

(8x - 75) and (5x) are vertically opposite angles and are congruent , then

8x - 75 = 5x ( subtract 5x from both sides )

3x - 75 = 0 ( add 75 to both sides )

3x = 75 ( divide both sides by 3 )

x = 25

Then

5x = 5(25) = 125°

8x - 75 = 8(25) - 75 = 200 - 75 = 125°

7 0

1 year ago

Read 2 more answers

The angle measures and/or side lengths of a triangle are described. Determine whether the conditions given

11Alexandr11 [23.1K]

(a) One unique triangle. This is an equilateral triangle since all sides are the same length. Through the SSS property, we can prove that only one triangle is possible here.

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(b) Cannot make a triangle. The triangle inequality theorem says that adding any two sides of a triangle must result in a value larger than the third side. Add up the first two sides (1 and 2) to get 1+2 = 3, which is not larger than the third side (3 units long). I recommend cutting out strips of paper that are 1 inch, 2 inches and 3 inches long, and trying to form a triangle. You'll find that a triangle is not possible. The 1 inch and 2 inch strips will line up to form a straight line that is 3 inches long, and basically you have a flat line (or a triangle with area 0)

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(c) More than one triangle. The angles add up to 180 since 35+60+85, so we can form a triangle. It turns out we can form infinitely many of them. The AA (angle angle) similarity theorem allows us to scale any triangle to make it larger or smaller compared to the original.

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(d) Cannot make a triangle. I'm assuming the 509 should actually be 50°. If so, then a triangle is not possible because the three angles (50, 50, 50) do not add to 180. We have instead 50+50+50 = 150. For any triangle, the three angles must always add to 180 degrees.

8 0

3 years ago

3.2 + 6.1 minus 0.2 = ?

NemiM [27]

Answer:

9.1

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Find the lateral area and the surface area of the right prism.

liraira [26]

Answer:

390 $in^{2}$

Step-by-step explanation:

We know that the top is a rectangle triangle, we only have two of the tree sides and the one that is missing is the hypotenuse. The formula to find it is $h^{2}= a^{2} +b^{2}$

If we put the values we know it would be

$h^{2}= 5^{2} +12^{2}$

$h^{2}= 25 +144$

$h^{2}= 169$

$h=\sqrt{169}$ = 13

So now we have the lenght missing.

The area of the top and bottom is the same and we found it by the formula $\frac{(base)(height)}{2}$ = $\frac{(12)(5)}{2}$ = 30, that is the area of just one triangle, multiply by 2 and that is the area of top and bottom = 30 x 2 = 60

The area of a rectangle is base x height, we have three rectangles.

First one: 13 x 11 = 143

Second one: 5 x 11 = 55

Third one: 12 x 11 = 132

The sum of the areas would be = 60 + 143 + 55 + 132 = 390 $in^{2}$

5 0

3 years ago

Help guys, I’m sure it’s easy for y’all

Artist 52 [7]

Answer:

(x, y) -------- ( -x,-y)

Rule : Rotation center (0,0) , angle of rotation 180° or -180°

Step-by-step explanation:

The vertices of the object and image have coordinates at ;

D(-4,2), --------D'( 4,-2 ),

E (-1,3), --------E'( 1,-3 ),

F (-1,-3),--------F'(1,3),

G (-3,-4),------G'( 3,4 ),

You notice that after the rotation ;

( x, y )-------change to (-x,-y),

This rule is rotation center origin angle 180°

7 0

3 years ago