Hector draws a triangle with exactly two sides that have the same length. Which of the following are possible ways to classify the triangle by its angle measures and side lengths? Select all that apply. A. right and isosceles B. acute and isosceles C. obtuse and scalene D. acute and scalene E. obtuse and isosceles

Answer:

The principal, real, root of:

²√7.937005259841 = 2.81726911

All roots:

2.81726911

−2.81726911

7.937005259841 is not a perfect square

Step-by-step explanation:

side length a = 7.937005259841 ft

face diagonal f = 11.224620483094 ft

solid diagonal d = 13.747296369986 ft

surface area S = 377.97631496846 ft2

volume V = 500 ft^3

Answer:

108

Step-by-step explanation:

Mike's current age, be M

Then Brandon's is: M - 27

Also, M = 4(M - 27)

M = 4M - 108

M - 4M = - 108

- 3M = - 108

Answer:

x(3+4)=4(x+3), (x+2)+5(x-1)=3(x+3)

Step-by-step explanation:

x(3+4)=4(x+3)

3x+4x=4x+12

7x=4x+12

Subtract 4x by both sides

3x=12

Divide 3 by both sides to get x=4

4x+5=3(x+2)

4x+5=3x+6

Combine Like terms

1x+5=6

Subtract 5 from both sides

x=1

(x+2)+5(x-1)=3(x+3)

x=4

Answer:

0 degrees?

Step-by-step explanation:

It looks perfectly even to me

Answer:

250.5 - 35m = 300 - 45.25m

Complete question:

Which equation can be used to find m, the number of months it will take for both accounts to have the same amount of money?

250.5 + 35m = 300 + 45.25m

250.5 – 35m = 300 – 45.25m

250.5m – 35 = 300m – 45.25

250.5m + 35 = 300m + 45.25

Step-by-step explanation:

For The International Business Club: y = 250.50 - 35m,  

For The Future Agricultural Leaders Club: y = 300 - 45.25m.

So the answer is 250.5 - 35m = 300 - 45.25m

250.5 – 35m = 300 – 45.25m

Explanation:
It's this one because the initial for international Business Club is $250.50 and their monthly spending is $35, and for Future Agricultural Leaders Club their initial is $300 and their monthly spending is $45.25

So, the equation would be 250.5 – 35m = 300 – 45.25m

Answer:

Its Las sillas son nuestras

Step-by-step explanation:

On Edge 2021

Answer:

nuestras

Step-by-step explanation:

Answer:

6 full bags of rice.

0.4 kg of rice will be left.

Step-by-step explanation:

The man can carry a max of 160 kg.

1 bag of rice weighs 25 kg.

160/25 = 6.4

He can carry 6 full bags of rice.

Yes, there will be rice left.

0.4 kg of rice will be left.

Answer:

He can carry 6 whole 2/5 of the rice and 3/5 of rice in one bag would be left.

Step-by-step explanation:

Man can carry = 160 kg

1 bag of rice = 25 kg

He can carry = [tex]\frac{160}{25}[/tex]

=> [tex]6\frac{2}{5}[/tex]

He can carry 6 whole 2/5 of the rice and 3/5 of rice in one bag would be left.

Answer:

540°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

A pentagon has n = 5, thus

sum = 180° × 3 = 540°

Answer: 4

Step-by-step explanation:

6 times 2 = 12 on the bottom so on the top you do the same thing. 2 times 2 is 4.

Answer:

2/12

Step-by-step explanation:

because when u multiple 2×6=12

so when u get 12 u think of multiplying it by 2 ,

2×2=4

Answer:

it's 2 because it's the smallest number

Answer:

x = [tex]\frac{-1}{4} + \frac{1}{4} \sqrt{29}[/tex]

Step-by-step explanation:

For this equation: a=4, b=2, c=-7

4x²+2x+−7=0

Step 1: Use quadratic formula with a=4, b=2, c=-7.

x=  [tex]\frac{-b + \sqrt{bx^{2}-4ac } }{2a}[/tex]

x = −(2)±√(2)2−4(4)(−7)  ÷ 2(4)

x = −2±√116   ÷ 8

x = [tex]\frac{-1}{4} + \frac{1}{4} \sqrt{29}[/tex]

Answer:

5 years old

Step-by-step explanation:

Kevin= k

Daniel= d

Answer:

Kevin is 6 now

Step-by-step explanation:

K= D+3

2 years ago K-2 =4 (D-2) plug in D+3 for K

D+3-2=4D-8

D+1 =4D-8 rearrange equation by subtracting D and adding 8

9 = 3D

D =3 so K =6

Answer:5 milllion

And the minimum is 25

Step-by-step explanation:

Answer:

a≤39/5

Step-by-step explanation:

60a - 80a ≥ -64 -92

-20a≥-156

a≤156/20

a≤39/5

Answer:

A

Step-by-step explanation:

18%=18/100=0.18

0.18*30.80=5.544 or about $5.50. Hope this helps!

Answer:

g(-3)=10

Step-by-step explanation:

We want to find what g(x), or y is, when x is equal to -3.

g(x)== x² + 1

x= -3

Substitute -3 in for x.

g(-3)=(-3)²+1

Evaluate the exponent first. -3² is equivalent to -3*-3, which is equal to 9.

g(-3)=9+1

Add 9 and 1

g(-3)=10

Answer:

Step-by-step explanation:

g(x)=x^2+1

at g(-3) = (-3)^2+1

=9+1=10

Answer: she begin with 6.

Step-by-step explanation:

At the beggining she had A books.

She sold half of that, so now she has A/2 books.

She bought 9, so now she has A/2 + 9 books,

And we know that A/2 + 9 = 11 books

So A/2 = 11 - 9 = 3

A = 2*3 = 6

So she started with 6 books

Answer:

She began with 4 books

Step-by-step explanation:

Let the original number of Jessi Comic books be x

When She sold half of the comic books, she has ( x - x/2) = x/2 left

When she bought 9 more, she has 11 in total. That is, x/2 + 9 = 11

x/2 = 11 - 9

x/2 = 2

x = 2 * 2

x = 4

She began with 4 books

Answer: a = 12, b = 2, c = 11

Step-by-step explanation:

Using exponent rules we can distribute the exponent of 3 to the xyz.

This results in the numerator now being. [tex]x^{5*3}+y^{1*3}+z^{4*3}\\[/tex] This can be simplified to, [tex]x^{15}y^{3}z^{12}\\[/tex].

Now divide the numerator by the denominator subtracting the exponents.

Which equals, [tex]x^{12}y^{2}z^{11}[/tex]

So a = 12

b = 2

and

c = 11

The values of [tex]a, \ b,\ c[/tex] are  [tex]12,\ 2,\ 11[/tex] .

Exponent indicates that the base is to be raised to a certain power. So, it is the power of the base.

We have,

[tex]\frac{(x^5yz^4)^3}{x^3yz}=x^ay^bz^c[/tex]

Now simplify the above given equation;

[tex]\frac{(x^5*3y^1*3z^4*3)}{x^3yz}=x^ay^bz^c[/tex]

[tex]\frac{(x^{15}y^3z^{12})}{x^3yz}=x^ay^bz^c[/tex]

Now, Using the exponent rule;

[tex]\frac{a^n}{a^m} = a^{n-m}[/tex]

So,

[tex](x^{15-3}y^{3-1}z^{12-1})=x^ay^bz^c[/tex]

[tex](x^{12}y^{2}z^{11})=x^ay^bz^c[/tex]

Now,

As we see variables on both sides of equation are same (i.e. bases of powers are same), so now compare the powers of sides of variables;

⇒    [tex]x^{12}=x^a[/tex]

       [tex]a=12[/tex],

And, [tex]y^2=y^b[/tex]

         [tex]b=2[/tex]

And, [tex]z^{11}=z^c[/tex]

         [tex]c=11[/tex]

So, the values of [tex]a, \ b,\ c[/tex] are [tex]12,\ 2,\ 11[/tex] which are find out using the  exponent rule.

Hence, we can say that the values of [tex]a, \ b,\ c[/tex] are [tex]12,\ 2,\ 11[/tex] .

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Answer:

[tex] 30\: m^2 [/tex]

Step-by-step explanation:

For triangle:

Base = (4 + 3 +1) m = 8 m

Height = 9 m

For rectangle:

Length = 3 m

width = 2 m

Area of shaded region = Area of triangle - Area of rectangle

[tex]= \frac{1}{2}\times base\times height-length \times width \\\\= \frac{1}{2} \times (4 + 3 + 1) \times 9 - 3 \times 2 \\ \\ = \frac{1}{2} \times 8 \times 9 - 6 \\ \\ = 4 \times 9 - 6 \\ = 36 - 6 \\ = 30 \: {m}^{2} [/tex]

Answer:

13

Step-by-step explanation:

We were already given the formula and were left with [tex]169 = c^2[/tex].

To find c we would find what by itself equals 169.

We know [tex]12 * 12[/tex] is 144

so its greater than 12

we also know that 13 * 13 is 169

so c would be equal to 169

Answer:

(10, - 20 )

Step-by-step explanation:

Given the 2 equations

y = - 5x + 30 → (1)

x = 10 → (2)

Since the value of x is given substitute x = 10 into (1) for y

y = - 5(10) + 30 = - 50 + 30 = - 20

Solution is (10, - 20 )

Answer:

(10, -20)

Step-by-step explanation:

y = –5x + 30

x = 10

------

x=10 ⇒ y= -5*10+30= -20

Then solution is (10, -20)

Answer:

The answer is 4:21

Step-by-step explanation:

Answer:

Step-by-step explanation:

Identify the opposite of 2 on the number line.

✔ –2

Identify the opposite of 5 on the number line.

✔ –5

Using your results, which statement is true?

Since –2 is further

✔ right on the number line, –2 > –5

.

this is the answer

The correct state would be negative 2 is greater than negative 5.

The opposite of the numbers can be obtained changing the positive numbers to negative equivalent of the number as follows;

From the initial given expression, 2 < 5, that is 2 is less than 5.

From the opposite numbers, -2 > - 5, that is negative 2 is greater than negative 5.

Thus, the correct state would be negative 2 is greater than negative 5.

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Answer:

She invested $30,000 at 9%

Step-by-step explanation:

Let the amount invested per percentage be $x and $y respectively

Total investment is 40,000

This means that;

x + y = 40,000 ••••••••••(i)

Now for her income;

9/100 * x = 9x/100

for the 12% = 12/100 * y = 12y/100

Now;

9x/100 + 12y/100 = 3,900

9x + 12y = 390000 •••••••••(ii)

we solve both simultaneously

From i, y = 40,000-x

Substitute this into ii

9x + 12(40,000-x) = 390,000

9x + 480,000-12x = 390,000

3x = 480,000-390,0000

3x = 90,000

x = 90,000/3

x = $30,000

Answer:

3x = 14

Step-by-step explanation:

5x - y = 6

-2x +y = 8

===================

3x+0y = 14

3x = 14

Answer:

3x = 14

Step-by-step explanation:

5x - y = 6

-2x +y = 8

3x+0y = 14

3x = 14

Answer:

x=16

Step-by-step explanation:

37+(3x+5)=90 (because its a right angle)

3x+5=90-37=53

3x=53-5=48

x=48/3

=16

The input value for which f(x) = g(x) is true is -1

The formula for calculating the equation of a line is expressed as:

[tex]y=mx+b[/tex]

m is the slope

b is the y-intercept

For table 1,

Get the slope:

[tex]Slope=\frac{3-3}{3-2}\\Slope =\frac{0}{1} \\Slope =0[/tex]

Use the coordinate (-2, 3) and m = 0 to get the value of "b"

[tex]y=mx+b\\3 = 0(-2) + b\\b = 3[/tex]

The required function for table 1 is f(x) = 3

For table 2:

Get the slope:

[tex]Slope=\frac{0-1}{3-2}\\Slope =\frac{-1}{1} \\Slope =-1[/tex]

Use the coordinate (-2, 4) and m = -1 to get the value of "b"

[tex]y=mx+b\\4 = -1(-2) + b\\b = 4-2\\b=2[/tex]

The required function for table 2 is g(x) = -x + 2

If the function f(x) = g(x), hence:

-x + 2 = 3

-x = 3 - 2

-x = 1

x = -1

Hence the input value for which f(x) = g(x) is true is -1

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Answer: -1

Step-by-step explanation: