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sergejj [24]
3 years ago
8

Which values of x are solutions to the equation below?

Mathematics
1 answer:
UkoKoshka [18]3 years ago
5 0

Answer:

B and D

Step-by-step explanation:

3*(5²)-42=33

75-42=33

3*((-5)²)-42=33

75-42=33

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One serving of a cereal is 3/4 cup. Each box of cereal has about 9 cups of cereal and costs $3.80. Is the price per serving grea
Goryan [66]

Answer:

The price per serving is $0.315, therefore, it's less than $0.5

Step-by-step explanation:

In order to calculate the price per serving, we can first calculate the price per cup, this is done by dividing the total value of the box by the number of cups it can serve:

price_{cup} = \frac{3.8}{9} = 0.42

Since each serving is \frac{3}{4} of a cup, then it's price has the same proportion and is given by:

price_{serving} = \frac{3}{4}*0.42 = 0.315

The price per serving is $0.315, therefore, it's less than $0.5

6 0
2 years ago
Given: SR bisects angle TSQ angle T is congruent to angle Q prove: triangle RTS is congruent to RQS
yan [13]

Triangle RTS is congruent to RQS by AAS postulate of congruent

Step-by-step explanation:

Let us revise the cases of congruence  

  • SSS  ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd Δ
  • SAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and  including angle in the 2nd Δ
  • ASA ⇒ 2 angles and the side whose joining them in the 1st Δ  ≅ 2 angles and the side whose joining them in the 2nd Δ
  • AAS ⇒ 2 angles and one side in the 1st Δ ≅ 2 angles   and one side in the 2nd Δ
  • HL ⇒ hypotenuse leg of the 1st right Δ ≅ hypotenuse  leg of the 2nd right Δ

∵ SR bisects angle TSQ ⇒ given

∴ ∠TSR ≅ ∠QSR

∴ m∠TSR ≅ m∠QSR

∵ ∠T ≅ ∠Q ⇒ given

∴ m∠T ≅ m∠Q

In two triangles RTS and RQS

∵ m∠T ≅ m∠Q

∵ m∠TSR ≅ m∠QSR

∵ RS is a common side in the two triangle

- By using the 4th case above

∴ Δ RTS ≅ ΔRQS ⇒ AAS postulate

Triangle RTS is congruent to RQS by AAS postulate of congruent

Learn more:

You can learn more about the congruent in brainly.com/question/3202836

#LearnwithBrainly

3 0
3 years ago
HELPSKANDNEKSJJF nakajf
Luba_88 [7]
What the heck does that mean

Ahhhhhhhhhhhhhhhhhhhhhhh
6 0
3 years ago
An interior angle of a regular polygon has a measure of 135° how many sides does it have
butalik [34]

8 sides

the exterior angle = 180° - 135° = 45° ( exterior/ interior are supplementary )

the sum of the exterior angles of a polygon = 360°

number of sides = \frac{360}{45} = 8


6 0
3 years ago
Find the x- and y-intercepts of the following line: 4x − 3y = 12
Slav-nsk [51]

Answer:

x-intercept: (3,0)

y-intercept: (0,-4)

Step-by-step explanation:

To find the x and y-intercepts, we first need to understand what they are. X and y-intercepts are points on the line that passes through the x-axis and y-axis. When a point is an x-intercept, it passes through the x-axis. This means the x-coordinate is an integer, while the y-coordinate is always 0. This can be denoted by (x,0). When a point is a y-intercept, it passes through the y-axis. This means the y-coordinate is an integer, while the x-coordinate is always 0. This can be denoted by (0,y).

Now that we know what x and y-intercepts are, we can plug in x=0 and y=0 to find the intercepts.

x-intercept

4x-3y=12            [plug in y=0]

4x-3(0)=12          [multiply]

4x-0=12              [add both sides by 0]

4x=12                 [divide both sides by 4]

x=3

---------------------------------------------------------------------------------------------------------

y-intercept

4x-3y=12            [plug in x=0]

4(0)-3y=12         [multiply]

0-3y=12             [subtract both sides by 0]

-3y=12               [divide both sides by -3]

y=-4

Therefore, the x-intercept is (3,0) and y-intercept is (0,-4).

3 0
3 years ago
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