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Helen [10]
3 years ago
15

What is the value of x in the equation 6x-5/2 = 2x+6​

Mathematics
1 answer:
nataly862011 [7]3 years ago
7 0

Answer:

x= 17/8

Step-by-step explanation:

6x− 5/2=2x+6

Step 1: Simplify both sides of the equation.

6x+−5/2=2x+6

Step 2: Subtract 2x from both sides.

6x+−5/2−2x=2x+6−2x

4x+−5/2=6

Step 3: Add 5/2 to both sides.

4x+−5/2+5/2=6+5/2

4x=17/2

Step 4: Divide both sides by 4.

4x/4=17/2/4

x=17/8

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Consider the function represented by the equation 6q = 3s - 9. Write the equation in function notation, where q is the independe
Tom [10]

Answer:  The correct option is (B) f(q) = 2q + 3.

Step-by-step explanation:  The given equation representing a function is

6q=3s-9~~~~~~~~~~~~(i)

We are to write the equation in function notation with 'q' as independent variable.

From equation (i), we have

6q=3s-9\\\\\Rightarrow 3s=6q+9\\\\\Rightarrow s=2q+3.

So, 's' can be represented as a function of 'q'. Hence, we can write

s=f(q).

Therefore, we have

f(q)=2q+3.

Thus, (B) is the correct option.

7 0
3 years ago
8. In quadrilateral ABCD, AD is congruent to BC, and AD is parallel to BC. Andre has written a proof to show that ABCD is a para
luda_lava [24]

The correct choices to fill the blanks are listed below:

  1. AD
  2. BC
  3. AC
  4. CBA
  5. angle BAC
  6. CD

<h3>How to prove that a quadrilateral is a parallelogram</h3>

In this question we should fill the blanks based all information related to Euclidean geometry, especially concepts related to angles, triangles, parallelism and quadrilaterals.

The complete paragraph is shown below:

<em>Since </em><u><em>AD</em></u><em> is parallel to </em><u><em>BC</em></u><em>, alternate interior angles. </em>

<u><em>AD</em></u><em> and </em><u><em>BC</em></u><em> are congruent. </em>

<em>AC is congruent to </em><u><em>AC</em></u><em> since segments are congruent to themselves.</em>

<em>Along with the given information that AD is congruent to BC, triangle ADC is congruent to triangle </em><u><em>CBA</em></u><em> by the Side-Angle-Side Triangle Congruence. </em>

<em>Since the triangles are congruent, all pairs of corresponding angles are congruent, so angle DCA is congruent to </em><u><em>angle BAC</em></u><em>.</em>

<em>Since those alternate interior angles are congruent. AB must be parallel to </em><u><em>CD</em></u><em>. </em>

<em>Since we define a parallelogram as a quadrilateral with both pairs of opposite sides parallel, ABCD is a parallelogram.</em>

To learn more on quadrilaterals, we kindly invite to check this verified question: brainly.com/question/25240753

8 0
3 years ago
Solve for an angle in right triangles
Aneli [31]

Answer:

90

Step-by-step explanation:

if all the interior angle in triangle sums up it will be 180

so 180 divide by by 3(because its a triangle) is 90

hope this helps

have a nice day <3

8 0
2 years ago
If you solve this for me I’ll love you forever (but seriously I need the answer ASAP)
mash [69]

Description:

This will be no solution because when we add 10 to both sides of the equation then simplify it. After that we will subtract 6 from both sides. It will give us no solution. For more info please see the attachment.

Answer: No solution

Hope this helps.

8 0
3 years ago
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A rectangle that has an area of 357 square inches is 17 inches wide. Using the formula for area (A=lw), how long is the rectangl
Lynna [10]
----------------------------------------------------------------------------------------
Formula
----------------------------------------------------------------------------------------
Area of rectangle = Length x Width

----------------------------------------------------------------------------------------
Find Length
----------------------------------------------------------------------------------------
357 = Length x 17

----------------------------------------------------------------------------------------
Divide by 17 through
----------------------------------------------------------------------------------------
Length = 357 ÷ 7
Length = 51 inches

----------------------------------------------------------------------------------------
Answer: The length of the rectangle is 51 inches
----------------------------------------------------------------------------------------
7 0
3 years ago
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