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3 years ago

8

In a quadrilateral MNOP the length of side MN is (4x − 7) units and the length of side ON is (7 − 3x) units. What value of x wil

l make it a rhombus?
14
2
7
12

1 answer:

artcher [175]3 years ago

6 0

In a rhombus, all sides are equal.

So for the quadrilateral MNOP to be a rhombus, the given sides have to be equal. THat is

$MN=ON$

$4x-7 =7-3x$

Adding 3x to both sides and addinf 7 to both sides

$7x = 14$

Now we need to get rid of 7 and for that we do division, that is

$\frac{7x}{7} = \frac{14}{7}$

$x=2$

Correct option is the second option .

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Hello pls help I'm dumb thx it's pre calc

Bumek [7]

(f-g)(x)=f(x)-g(x)=
$\frac{2x+6}{3x}-\frac{\sqrt{x}-8}{3x}=$
$\frac{2x+6-(\sqrt{x}-8)}{3x}=$
$\frac{2x+6-\sqrt{x}+8}{3x}=$
$\frac{2x-\sqrt{x}+14}{3x}$
answer is A

3 0

3 years ago

Gregory knows that Triangle A B C is reflected onto Triangle A prime B prime C prime. Which statement about the figures is true?

ziro4ka [17]

Answer: if Gregory draws the segment with endpoints A and A’, then the midpoint will lie on the line of reflection.

Explanation:

Given that a triangle ABC is reflected in triangle A'B'C'

Here reflection is done on a line

If you imagine the line as a mirror then ABC will have image on the mirror line as A'B'C'

Recall that in a mirror the object and image would be equidistant from the mirror and also the line joining the image and object would be perpendicular to the mirror

But note that corresponding images will only be perpendicular bisector to the line

So A and A' only will be corresponding so AA' will have mid point on line

Option 1 is right

5 0

2 years ago

The function f(x) and g(x) are graphed of the set of aces below. for which value of x is f(x)≠g(x)

aleksklad [387]

Answer:

$f(x)\neq g(x)$

$when ~x=3$

$So, the ~third~ option~is ~your~ answer$

<h3>-----------------------</h3><h3>hope it helps...</h3><h3>have a great day!!</h3>

6 0

3 years ago

The label on a package of bolts says each bolt has a diameter of 0.35 inch. To be in the package, the percent error of the diame

qaws [65]

Answer: No

Step-by-step explanation:-

Labeled diameter on the bolt = 0.35 inch

The observed diameter of the bolt= 0.33 inch

${\text {Percentage Error}}=|\frac{\text {labeled value}-{Observed value}}{\text {Observed value}}|\times 100\%$

${\text{Percentage Error}=|\frac{0.35-0.33}{0.33}|\times 100\%=6.06\%$

For the bolt to be in the package, the percent error must be less than 5%. As the percent error is 6.06% which is greater than 5%, the bolt cannot be in the package.

7 0

3 years ago

Read 2 more answers

( 7x + 1/2) + ( 7x - 7 and 1/2) Simplify

pishuonlain [190]

Answer:

The answer will be 7(2x - 1)

Step-by-step explanation:

1) Convert 7 and 1/2 to improper fraction. Use this rule: a b/c = ac + b/c

$7x + \frac{1}{2} + 7x - \frac{7 \times 2 + 1}{2}$

2) Simplify 7 × 2 to 14 .

$7x + \frac{1}{2} + 7x - \frac{14 + 1}{2}$

3) Simplify 14 + 1 to 15.

$7x + \frac{1}{2} + 7x - \frac{15}{2}$

4) Collect like terms.

$(7x + 7x) + ( \frac{1}{2} - \frac{15}{2} )$

5) simplify.

$14x - 7$

6) Factor out the common term 7.

$7(2x - 1)$

Therefor, the answer is 7( 2x - 1 ).

7 0

2 years ago