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ValentinkaMS [17]
2 years ago
5

Kent multiplies both sides of the equation below by an expression. k startfraction 12 over k endfraction = 8 then he moves all t

he terms to one side of the equal sign in the resulting equation. which equation must he solve now?
Mathematics
1 answer:
astra-53 [7]2 years ago
3 0

The resulting equation that Kent has when he moves all the terms to one side of the equal sign is k² - 8k + 12 = 0

<h3>What is quadratic equation?</h3>

A quadratic function is a function that usually has a single variable and it is raised to the power of 2. An example is x² + 10x + 25 = 0

Given this equation: k + 12/k = 8

If both sides are multiplied by k, the equation becomes: k² + 12 = 8k

If all the terms are moved to one side of the equal sign: k² - 8k + 12 = 0

Please find attached the complete question. To learn more about multiplication, please check: brainly.com/question/3385014

#SPJ4

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I need help with geometry
astra-53 [7]

Answer:

13

Step-by-step explanation:

Use the Pythagorean theorem:

  • a^2 + b^2 = c^2
  • 5^2 + 12^2 = c^2
  • 25 + 144 = c^2
  • c^2 = 169
  • 13

Note: This also happens to be a Pythagorean triple where all three numbers are integers. These can be memorized.

8 0
2 years ago
State whether or not the following triangles are similar. If not, explain why not. If so, write a similarity statement
valentinak56 [21]

9514 1404 393

Answer:

  a) ∆RLG ~ ∆NCP; SF: 3/2 (smaller to larger)

  b) no; different angles

Step-by-step explanation:

a) The triangles will be similar if their angles are congruent. The scale factor will be the ratio of any side to its corresponding side.

The third angle in ∆RLG is 180° -79° -67° = 34°. So, the two angles 34° and 67° in ∆RLG match the corresponding angles in ∆NCP. The triangles are similar by the AA postulate.

Working clockwise around each figure, the sequence of angles from lower left is 34°, 79°, 67°. So, we can write the similarity statement by naming the vertices in the same order: ∆RLG ~ ∆NCP.

The scale factor relating the second triangle to the first is ...

  NC/RL = 45/30 = 3/2

__

b) In order for the angles of one triangle to be congruent to the angles of the other triangle, at least one member of a list of two of the angles must match for the two triangles. Neither of the numbers 57°, 85° match either of the numbers 38°, 54°, so we know the two triangles have different angle measures. They cannot be similar.

7 0
3 years ago
Select the correct answer.
Crazy boy [7]

check the picture below.

now, if we split that triangle like so with that red line, we can use the right-triangle there, to get θ.


\bf tan(\theta )=\cfrac{\stackrel{opposite}{3}}{\stackrel{adjacent}{3}}\implies tan(\theta )=1\implies tan^{-1}(\theta )=tan^{-1}(1)\implies \measuredangle \theta =\cfrac{\pi }{4}

8 0
2 years ago
The ice cream store offers schools a discount of 12% for the month of June. The school decides to purchase ice cream bars for th
lilavasa [31]

Answer:

Divide the number of ice-cream bars into the number of people. Example: say you have 20 ice cream bars and 10 people you divide 20/10 and get 2 ice cream bars per person

Step-by-step explanation:

Are you also a simp for draco? :3

6 0
3 years ago
. The ratio of three angles of a triangle is 1:2:3. Find the measurement of<br>the angles.​
nydimaria [60]

Answer:

Step-by-step explanation:

Sum of angles in a Δ= 180°

x + 2x +3x = 180

6x= 180

Divide both sides by 6

x=30

sooo x= 1×30= 30,   2x= 2×30= 60,   3x=3×30= 90

since 30+60+90= 180

∴the angles are 30°,60° and 90° respectively

5 0
3 years ago
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