Numbers Write the mixed number as a fraction.​

[tex](\sqrt{a} -2)(\sqrt{a}+2)\\=\sqrt{a}*\sqrt{a} +2\sqrt{a} -2\sqrt{a} -2*2\\=a - 4[/tex]

Hope that helps!

Answer:

[tex]CP = 24[/tex]

Step-by-step explanation:

The measured sides are 24 and 32 units long. It means that the larger triangle is [tex]\frac{32}{24} =\frac 43[/tex] times bigger than the smaller one. In particular, all linear measures are scaled of the same ratio: for medians we can write

[tex]FQ= \frac 43 CP \rightarrow 3FQ=4CP[/tex]

At this point we replace both segments with their lengths and solve for x. Once we find x, we can determine the length of CP.

[tex]3(2x+8)=4(3x-12)\\6x+24=12x-48 \rightarrow 6x=72 \rightarrow x=13\\CP = 3(13)-12 =36-12=24[/tex]

The length of the median CP is 24 units if the triangle ABC and triangle DEF are similar, option (C) is correct.

It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

The ratio of the sides:

DE/AB = 32/24 = 4/3

Similarly, the ratio of the sides:

QF/CP = 4/3

3QF = 4CP

3(2x + 8) = 4(3x - 12)

6x + 24 = 12x - 48

6x = 72

x = 12

CP = 3(12)—12 = 24 units

Thus, the length of the median CP is 24 units if the triangle ABC and triangle DEF are similar, option (C) is correct.

Learn more about the similarity of triangles here:

brainly.com/question/8045819

#SPJ2

https://brainly.com/question/2952247

I messed up, so here's the answer.

Step-by-step explanation:

m ( < Q ) = m ( < L )... alternative angles

m ( < R ) = m ( < M )... alternative angles

m ( < RPQ ) = m ( < LPM )... vertically opposite angles ķ

Answer:

17.5 acres

Step-by-step explanation:

Let the areas of A, B, and C be 2x, 3x, and 5x, respectively,

then 2x = 3.5 acrea, x = 3.5/2 acres

Total area is 2x + 3x + 5x = 10x = 10 * 3.5/2 = 17.5 acres

Answer:

-79 is the ansekendndjdisosj

Answer: y = x - 5

Step-by-step explanation:

Slope intercept form is y = mx + b

to find the slope: y2-y1/x2-x1: 15-14/20-19 = 1/1 = 1

so we can write it as y = x + b, (since the slope is 1).

To find b, plug in either point given to the formula:

15 = 20 + b

b = 15 - 20

b = -5

so the completed equation is y = x - 5

Answer:

y = x-5

Step-by-step explanation:

The form of slope intercept is y=mx+b]

To solve :

First you need to find the slope

To find the slope, you the slope equation, which is y2-y1/x2-x1

Since first you put y2-y1 at the top, it would be 14-15 and then 19-20 at the bottom since x2-x1 is put at the bottom.

Your slope equation should be : m=14-15/19-20, which should give you m=-1/-1 with m being 1.

Then you plug in the value in the slope intercept equation

To help us find the y intercepts, lets choose one our points.  In this case, we will be using (20,15) since it is the first point.

Slope intercept form is y=mx+b.

we do 15= 1 x 20 +b

15=20+b, gives you b=-5

How you got b=-5:

1)Put the equation into this by switching sides :

1 (20)+b=15

2) Get rid of the parenthases :

1 x 20 + b=15

3) multiply :

1 x 20=20, so

20+b=15

4) On both sides, subtract 20

so it would be

20+b-20=15-20, which gives you b=-5

The value of the angles between the altitudes dropped from the vertices A and C equals [tex]180^{\circ} - \alpha[/tex].

In this question we must apply definitions and theorems of Euclidean geometry to derive the value of all required angles.

Based on geometry we know that heights are perpendicular to sides opposite to an angle, sum of internal triangles equals 180°, sum of supplementary angles equals 180°.

If we know that [tex]m\angle B = \alpha[/tex], then the value of the angles between the altitudes dropped from the vertices A and C equals [tex]180^{\circ} - \alpha[/tex]. [tex]\blacksquare[/tex]

To learn more on triangles, we kindly invite to check this verified question: https://brainly.com/question/25813512

the answer is c

Step-by-step explanation:

i took the test today

Answer:

x=-1 x=-16

Step-by-step explanation:

Step-by-step explanation:

10. [-19-(-20) - (-34)] ÷ (-6)

= (-19+20+34) ÷ (-6)

= 35 ÷ (-6)

= -5.83

12. [-18 - (-66) -22] × 2

= [-18+66-22] × 2

= 26 × 2

= 52

Answer:

10. -35/6

12. 52

Step-by-step explanation:

A notation like - (-6) can be written as +6 ("two times minus is plus").

So your question 10. becomes:

(-19 + 20 + 34) / -6, which is more pleasant to the eye.

Further simplifying gives you 35 / -6 which you should write as -35/6.

The next question, same principle:

(-18 + 66 - 22) * 2 = 26 * 2 = 52

2 not given 3 given 4given 5 not given

Step-by-step explanation:

Step 1- convert 25% into a decimal

Step 2- Multiply 34,400.00 x 0.25

            Which should give you $8600.00

Step 3- Then subtract 34,400.00 from 8600.00

              Which will give you $25800.0

The The thing to remember is Multiply with the discount then subtract your answer from the original price of the item.

Hope This Helps !!

Step-by-step explanation:

1st ratio=

5:7

[tex] \frac{5}{7} [/tex]

2nd ratio =

35:49

[tex] \frac{35}{49} \\ \frac{7 \times 5}{7 \times 7} \\ \frac{7}{7} \times \frac{5}{7} \\ 1 \times \frac{5}{7} \\ \frac{5}{7} [/tex]

Hence, the ratios are equal

Solution:

Step-1: Convert the ratios into fractions.

Step-2: Simplify both sides of the fraction.

~5/7 cannot be simplified because the numerator and denominator are prime number. However, 35/49 can be simplified by dividing 7 to the numerator and the denominator.

⇒ 5/7 = 35/49

⇒ 5/7 = 5/7 (Yes. They are equal)

Answer:

C. 3, 1/3, .3, 3%

Step-by-step explanation:

3 is a whole number that makes it the greatest

1/3 in a decimal form is 0.33 repeating

.3 is .30 which is smaller than previous.

3% converted in decimal form is 0.03 which is the smallest

Answer:

The angle of x is 83°

Step-by-step explanation:

A straight line has a total of 180°. That means if you can figure out what the third angle on the bottom is (the one in the middle) you can add 41 to it and subtract that from 180. Since all the lines are straight you can say that the middle angle on the bottom is the same as the middle angle on the top. So:

180° - (41° + 56°) = 83°

Step-by-step explanation:

To solve for u, remove the fraction.

Multiply each side by 10 to remove the fraction;

[tex]u = \frac{30}{17} = 1 \frac{13}{17} = 0.8[/tex]

Answer:

Slope= 30

Speed = 30 miles per hour

Step-by-step explanation:

Given two points the slope will be change in y over change in x

OR (y-y1)/(x-x1)

(120-60)/(2-1) = 60/2 = 30miles/hr

Answer:

3(2x+5)

Step-by-step explanation:

Since the GCF of 6 and 15 is 3, you should take out the 3 from both parts of the equation.

Answer:

351 squared feet

Step-by-step explanation:

multiply by 9

Answer:

Some right angles

Step-by-step explanation:

Folding the paper is an illustration of rotation

Two right triangles and one square would be seen on the diagram, when folded

From the figure, we have the following highlights

This means that when the paper is folded as shown, the designs would fall on each other, and the shapes would fit in perfectly.

Hence, two right triangles and one square would be seen on the diagram, when folded

Read more about rotation at:

https://brainly.com/question/4289712

Answer:

12x+10

Step-by-step explanation:

pls mark brainliest

Answer:

63

Step-by-step explanation:

27+90=117

180-117=63

Answer:

12

Step-by-step explanation:

this is answer of q.n.8

__________________

3x+5+4x+7+6x+12=180°[being sum of angle of triangle is 180°]

13x+24=180

13x=180-24

13x=156

x=156/13

x=12

Answer:

Lori reportedly paid her mother a third of the $39. Now let's see what 1/3 of $39 is.

$13 = 39/1 x 1/3 So she paid $13, but she still owes $23 of the original $39.

So, we need to figure out what 2/3 is, and here's how: 39 - 13 = $26. She owes her mother $26.

As a result, it now indicates that she paid 1/4 of the outstanding debt. Let's see what 1/4 of $26 equals.

6.50 = 26/1 x 1/4 She repaid $6.50 of the $26 she had borrowed. And she still owes 3/4 of what she owes. Let's find out what 3/4 means now. So, remove $6.50 from $26, as follows: 26 - 6.50= $19.50.

Step-by-step explanation: See above.

Hope this helps.

Answer:

7.08

Step-by-step explanation:

39 divide by 1/3 =117

117 divide by 1/4= 708

and u get 7.08

Answer:

35

...

....

....

....

...

.

.

Answer:

2 902 991.17 grams in 3.2 tons