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3 years ago

Nine less than five times a number is equal to -30.

Mathematics

1 answer:

notka56 [123]3 years ago

6 0

Answer: 5x-30-9

-159

Step-by-step explanation:

-159 is the answer

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Some ice cubes are stacked as shown. If the face of each ice cube is a square and each ice cube represents one cubic unit, what

lana66690 [7]

Answer:

B. 16 cubic Units

Step-by-step explanation:

take the height × length × width and that would be your answer... in this case it would be 4×2×2 which equals to 16.

7 0

3 years ago

What is the solution to the system of equations?

Over [174]

ANSWER

C) (6,-8)

EXPLANATION

The equations are:

$y = \frac{1}{3}x - 10$

and

$2x+y=4$

We substitute the first equation into the second equation to get:

$2x + \frac{1}{3}x - 10 = 4$

We multiply through by 3 to get:

$6x + x - 30= 12$

Group similar terms,

$6x + x = 30 + 12$

$7x = 42$

Divide both sides by 7 to get,

$x = \frac{42}{7} = 6$

Put this value of x into the first equation to get;

$y = \frac{1}{3} (6) - 10$

$y = 2 - 10 = - 8$

3 0

3 years ago

HELP ME!!! I've been stuck!

Olin [163]

Answer:

You have to fill the blank squares to complete the table.

See the figure attached and the explantion below.

Explanation:

The figure attached shows the three squares that you have to fill to complete the table to summarize the different theorems to prove triangles are congruent.

1. SAS

SAS stands for Side Angle Side. That means that whenever two sides and the included angle on one triangle are congruent to two sides and the included angle of another triangle, then those two triangles are congruent.

Thick marks are used to mark the corrsponding parts, sides or angles that are congruent. That is why the two triangles to the first triangles on the image (on the upper square to the right) are marked:

One thick straight mark for two sides that are congruent
Two thick straight marks for the other two sides that are congruent
On thick curved mark for the two angles that are congruent

In that way, the figures show two triangles, with two congruent sides and the included angle congruent, to prove that the two triangles are congruent by the SAS theorem.

2. ASA

ASA stands for Angle Side Angle.

The ASA congruency theorem states that if two angles of a triangle and the included side are congruent, then the two triangles are congruent.

Thus you have to add the legend "Two congruent angles with and included side", which means that if the two angles and the included side on one triangle are congruent to two angles and the included side of other triangles, then both triangles are congruent.

The rule to mark the sides and angles that are congruent is with the use of thick marks. This is how it was done in the drawing of the two triangles in the lower right square: