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zysi [14]
3 years ago
15

8x-31 ≥-7

Mathematics
2 answers:
andreyandreev [35.5K]3 years ago
7 0

Answer:

8x-31 ≥-7=== X≥4.75

15+ x/2 >8=== X>14

x/-6+14≤9=== X≤30

-3≥4x+17===X≥5

-21<34-5x===X>11

Step-by-step explanation:

Vinvika [58]3 years ago
3 0
X>3 for the first one
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Find the value of x number on top is 6 and other is 9
faltersainse [42]

Answer:

x = - 12, 3

Step-by-step explanation:

By tangent secant theorem:

x(x + 9) =  {6}^{2}  \\  \\  {x}^{2}  + 9x = 36 \\  \\  {x}^{2}  + 9x - 36 = 0 \\  \\  {x}^{2}  + 12x - 3x - 36 = 0 \\  \\ x(x + 12) - 3(x + 12) = 0 \\  \\ (x + 12)(x - 3) = 0 \\  \\ x + 12 = 0, \:  \: x - 3 = 0 \\  \\ x =  - 12, \:  \: x = 3 \\  \\

5 0
2 years ago
Triangle ABC is reflected across the line y=2x to map onto triangle RST. Select all statements that are true.
Anettt [7]

The reflection transformation in the question is a rigid transformation,

therefore, the image and the preimage are congruent.

The statements that are true are;

  • <u>AB = RS</u>
  • <u>∠ABC ~ ∠RST</u>
  • <u>ΔABC = ΔRST</u>
  • <u>m∠BAC = m∠SRT</u>

Reasons:

The given parameter are;

Triangle ΔABC is reflected across the line 2·X, to map onto triangle ΔRST

Required:

To select the true statements

Solution:

A reflection is a rigid transformation, therefore, the distance between corresponding points on the image and the preimage are equal.

Therefore;

AB = RS

BC = ST

AC = RT

Given that the image formed by a reflection is congruent to the preimage, we have;

ΔABC ≅ ΔRST

∠ABC ≅ ∠RST

m∠ABC = m∠RST by the definition of congruency

∠BCA ≅ ∠STR

m∠BCA = m∠STR by the definition of congruency

∠BAC ≅ ∠SRT

m∠BAC = m∠SRT by the definition of congruency

Therefore, the true statements are;

  • <u>AB = RS</u>; Image formed by rigid transformation
  • <u>∠ABC ~ ∠RST</u>; Definition of similarity
  • <u>ΔABC = ΔRST</u>; By definition of congruency
  • <u>m∠BAC = m∠SRT</u>; by the definition of congruency

Learn more here:

brainly.com/question/11787764

7 0
3 years ago
Simplify the expression completely. (5√50-3√200+3√18)
Kaylis [27]

Answer:

4\sqrt{2}

Step-by-step explanation:

5\sqrt{50} - 3\sqrt{200}  + 3\sqrt{18} =

= 25\sqrt{2} - 30\sqrt{2} + 9\sqrt{2} = 4\sqrt{2}

8 0
2 years ago
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Write a real world problem about dividing $145,775 by $25 and solve.
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You use $25 each week for food from the grocery store how many weeks if you have 145,775
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3 years ago
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9/16= what to the power of 2
Damm [24]
The answer to this is 3/4.
3 0
3 years ago
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