if the four shaded triangles in the figure are congruent right triangles, does the inner quadrilateral have to be a square? explain how you know

a^2 = 37^2 - 35^2

a^2 = 1369 - 1225

a^2 = 144

___

a = /144

a = 12

Answer:

This one i wrote down too

Step-by-step explanation:

Answer:

-18 + 9 = -9

Step-by-step explanation:

-2 x 9 = -18

Answer: C. C=-14

Step-by-step explanation:

Given

(1/6)c+1/3=-2

Multiply both sides by the LCM of 1/6 and 1/3(Least Common Multiple)

6[(1/6)c+1/3]=(-2)(6)

c+2=-12

Subtract 2 on both sides

c+2-2=-12-2

c=-14

Hope this helps!! :)

Please let me know if you have any questions

Answer:

C. c = −14

Step-by-step explanation:

Combine multiplied terms into a single fraction

[tex]\frac{1}{6} c+\frac{1}{3} = - 2[/tex]

[tex]\frac{1c}{6} +\frac{1}{3} =-2[/tex]

Multiply by 1

[tex]\frac{1c}{6} +\frac{1}{3} =-2[/tex]

[tex]\frac{c}{6} +\frac{1}{3} =-2[/tex]

Subtract [tex]\frac{1}{3}[/tex] from both sides of the equation

[tex]\frac{c}{6} +\frac{1}{3} =-2[/tex]

[tex]\frac{c}{6} +\frac{1}{3} -\frac{1}{3} =-2-\frac{1}{3}[/tex]

Subtract the numbers

[tex]\frac{c}{6} +\frac{1}{3} -\frac{1}{3} =-2-\frac{1}{3}[/tex]

[tex]\frac{c}{6} =-2-\frac{1}{3}[/tex]

Subtract the numbers

[tex]\frac{c}{6} =-2-\frac{1}{3}[/tex]

[tex]\frac{c}{6} =-\frac{7}{3}[/tex]

Multiply all terms by the same value to eliminate fraction denominators

[tex]\frac{c}{6} =-\frac{7}{3}[/tex]

[tex]c \frac{c}{6} =6(-\frac{7}{3} )[/tex]

Cancel multiplied terms that are in the denominator

[tex]c \frac{c}{6} =6(-\frac{7}{3} )[/tex]

c = 6 [tex](-\frac{7}{3} )[/tex]

Multiply the numbers

c = 6 [tex](-\frac{7}{3} )[/tex]

c = - 14

Answer:

8/21 I reduced it, this is the simplest fraction

Answer:

1. 210 students

2. 80/210 students

3. 8/21 or 38%

4. 8/21 = x/1000 | X = 381 students

Step-by-step explanation:

Answer:

the rate is 4.36%

Step-by-step explanation:

The computation of the pre tax cost of debt is shown below:

Given that

NPER = 24 × 2 = 48

FV = $1,000

PMT = $1,000 ×5% ÷ 2 = $25

FV = $1,175 - $80

= $1,095

The formula is shown below:

= RATE(NPER;PMT;-PV;FV;TYP

After applying the above formula, the rate is 4.36%

Answer:

-2xy+7x^2-7y

i recommend m a t h w a y :)

Step-by-step explanation:

Answer:

7x^2−2xy−7y

Step-by-step explanation:

First Simplify

(−8x)(y)+3x2−5y+4x2−2y+6xy

=−8xy+3x2+−5y+4x2+−2y+6xy

Then Combine Like Terms:

=−8xy+3x2+−5y+4x2+−2y+6xy

=(3x2+4x2)+(−8xy+6xy)+(−5y+−2y)

=7x2+−2xy+−7y

Answer:

78

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

(x^2+2)*(1-3x)=-3x^3+x^2-6x+2

now plug in -1

-3(-1)^3+(-1)^2-6(-1)+2=12

hope this helped  

Answer:

Monday

Step-by-step explanation:

please mark me brainliest

sin θ cos C

Step-by-step explanation:

Suppose,  θ=30°

Suppose,

     sin θ cos θ=1

 ⇒sin30°cos30°=1

 ⇒[tex]\frac{1}{2}[/tex]×[tex]\frac{\sqrt{3\\} }{2}[/tex]=1

 ⇒[tex]\frac{\sqrt{3} }{4}[/tex]≠1

Answer:

1/2

Step-by-step explanation:

2,3,5 are three out of a total of six options

3/6 = 1/2

Answer:

600

Step-by-step explanation:

yw

Answer:

7.9

Step-by-step explanation:

the first thing to do is find the second projection.

16-7 = 9

than we can use a proportion to find BD

7 : BD = BD : 9

BD = √9 x 7 = √63 = 7.9

we have to use the square root because in the proportion BD Is repeated two times. If we don’t use it, we find BD^2

Answer:

The number of tickets purchased typically varies from the expected value by 0.95 tickets.

Step-by-step explanation:

The standard deviation of the distribution is 0.95.

The standard deviation in statistics is a measure of the amount of variation or dispersion in a set of values. A low standard deviation implies that the values are close to the set's mean, whereas a high standard deviation shows that the values are spread out over a larger range.

We have

P (X = 1)= 0.29

P (X = 2) = 0.44

P( X= 3) = 0.19

P (X = 4) = 0.06

P (X = 5) = 0.02

The expected value is given by the sum of each value multiplied by it's respective probability, hence:

E(X) = 0.29(1) + 0.44(2) + 0.19(3) + 0.06(4) + 0.02 (5)

E(X) = 2.08

As, The standard deviation is the square root of the total of the difference squared between each value and the mean, multiplied by the likelihood of each value.

[tex]\sigma[/tex] = √0.29 (1- 2.08)² + 0.44(2- 2.08)² +.....+ 0.02 (5- 2.08)²

  = 0.95

Thus, the standard deviation is 0.95.

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Answer:

y = 841.25 feet

Step-by-step explanation:

Given that,

The height of the rocket, y in feet, is  related to the time after launch, x in seconds, by the given equation as follows:

[tex]y = -16x^2 + 212x + 139[/tex] ....(1)

We need to find the maximum height reached by the rocket.

For maximum height, put dy/dx = 0

So,

[tex]\dfrac{d(-16x^2 + 212x + 139)}{dx}=0\\\\-32x+212=0\\\\x=\dfrac{212}{32}\\\\x=6.625\ s[/tex]

Pu x = 6.625 in equation (1).

[tex]y = -16(6.625)^2 + 212(6.625) + 139\\\\y=841.25\ feet[/tex]

So, the maximum height reached by the rocket is equal to 841.25 feet.

Answer:

42%

Step-by-step explanation:

The computation of the percentage is shown below:

Here we assume that there are 100 students

So according to the question

60% of the students would pack the lunch i.e. 60 students

And, 40% of the students buy a lunch i.e. 40 students

Now the students who pack the lunch they have 70% of cookie

So, 70% of 60 students = 42 students

Now the percentage is

= 42 students ÷ 100 students

= 42%

Right I needed help on this

Answer: $25,875 - 15% = 21 993.75  0r $25,875 + 15% = 29 756.25

Step-by-step explanation:

Answer:

25 feets

Step-by-step explanation:

The scenario above can be modeled and solved Using Pythagoras :

Height to second floor = 24 feets

Horizontal Distance between foot of ladder and wall = 7 feets

Let length of ladder = x

The lengtb of ladder here is the hypotenus

Recall:

Hypotenus = sqrt(opposite² + adjacent²)

Hence,

x = sqrt(24² + 7²)

x = sqrt(576 + 49)

x = sqrt(625)

x = 25

Hence, length of ladder = 25 feets

Answer:

15

Step-by-step explanation:

hope it helps you.that was what I could think about.if am wrong please tell me.good day.

Division is one of the four fundamental arithmetic operations. The number of machines that will be needed to produce 1,984 printers in a day is 32 machines.

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that 20 machines produce 1,240 printers in a day. Therefore, the rate of production for a single machine can be written as,

Rate of production for a day = 1240/20 = 62 printer per machine

Now, the number of machines that will be needed to produce 1,984 printers in a day is,

Rate of production for a day = 1,984 / Number of machine

62 = 1984 / Number of machine

Number of machines = 32 machines

Hence, the number of machines that will be needed to produce 1,984 printers in a day is 32 machines.

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Answer: A

Step-by-step explanation:

We have to find the perimeter of the figure.

For doing so, we have to find the length of all the sides of a quadrilateral

The length of a line segment joining points (x1,y1) and (x2,y2) is given by the distance formula:  

after finding length of all the sides, we add the length of each side to get the perimeter.

Use the distance formula to find the length of each side, and then add the lengths.

Answer:

Number of year, when final value is $61,412.50 = 3 year

Number of year, when final value is $20,000 = 10 year (Approx.)

Step-by-step explanation:

Given:

Depreciation model

y = 100,000[0.85]ˣ

Where x = Number of year

Find:

Number of year, when final value is $61,412.50

Number of year, when final value is $20,000

Computation:

Depreciation model

y = 100,000[0.85]ˣ

61,412.50 = 100,000[0.85]ˣ

0.614125 = [0.85]ˣ

x = 3

Number of year, when final value is $61,412.50 = 3 year

Depreciation model

y = 100,000[0.85]ˣ

20,000 = 100,000[0.85]ˣ

0.2 = [0.85]ˣ

x = 10 (Approx.)

Number of year, when final value is $20,000 = 10 year (Approx.)

Answer: letter b

Step-by-step explanation:

Answer:

Negative because the dots travel down away from the positive area

Answer:

1/60

Step-by-step explanation:

50+30+40=120 (take all the students and add them together.)

2/120 (you only want 2 seventh graders)

simplified is 1/60

The probability that Quincy draws two-seventh-grade students is  0.061, or 6.1%.

It is a branch of mathematics that deals with the occurrence of a random event.

There are a total of 50 + 30 + 40 = 120 students who bought tickets for the raffle.

Quincy draws two names without replacement, which means that the total number of possible outcomes is given by the combination formula.

Total number of outcomes = C(120, 2) = 7,140

Now, we need to find the number of outcomes in which Quincy draws two-seventh-grade students.

Let us calculate the number of ways in which Quincy can choose 2 students from the 30 seventh-grade students

Number of ways to choose 2 seventh-grade students = C(30, 2) = 435

Therefore, the probability of Quincy drawing two-seventh-grade students is:

Probability = Number of desired outcomes / Total number of outcomes

Probability = C(30, 2) / C(120, 2)

Probability = 435 / 7,140

Probability ≈ 0.061

Hence,  the probability that Quincy draws two-seventh-grade students is  0.061, or 6.1%.

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Answer:

2x+8=180° (being vertically opposite angles)

Step-by-step explanation:

2x+8=110°

or, 2x= 110-8

or, x=102°÷2

: x= 51 answer