Find the measures of the interior angles of the triangle. Find A, B, C

we hat is the measure of ABC Is15

Answer:

x = -1 or x = 4

Step-by-step explanation:

[tex]x^2-2x-1=x+3[/tex]

subtract [tex]x[/tex] from both sides:

[tex]\implies x^2-2x-1-x=x+3-x[/tex]

[tex]\implies x^2-3x-1=3[/tex]

subtract 3 from both sides:

[tex]\implies x^2-3x-1-3=3-3[/tex]

[tex]\implies x^2-3x-4=0[/tex]

factor:

[tex]\implies x^2+x-4x-4=0[/tex]

[tex]\implies x(x+1)-4(x+1)=0[/tex]

[tex]\implies (x-4)(x+1)=0[/tex]

Therefore,

[tex]x-4=0 \implies x=4[/tex]

[tex]x+1=0 \implies x=-1[/tex]

Answer:

Step-by-step explanation:

1. First step

ADD

7+4=11

7+5=12

so

11[tex]\frac{12}{8}[/tex]

2. Second step

Now simplify

11 12/8 = 12 4/8 = 12 1/2

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Answer:

132.3

Step-by-step explanation:

follow the order of BODMAS

Answer:

1323/10

Step-by-step explanation:

1/2*15*(21/5) the power of 2

1/2*15*441/25

1/2*3*441/5

1323/10 or 132.3

Answer:

13.6125 kg

Step-by-step explanation:

luggage weight = 9/16 of weight limit

=9/16×24.2 kg

=13.6125 kg

[tex]\tt \dfrac{9}{16}\times 24.2=13.6125=13.61~kg[/tex]

Answer:

B

Step-by-step explanation:

Monomial is all about one algebra

Answer:

A≈1206.37 cm²

Step-by-step explanation:

Radius = 12

Height = 16

Using the formulas

A= πrl+πr²

l = √r²+h²

A=πr(r + √h²+r²)=

π·12·(12+√16²+12²) ≈1206.37158cm²

Given :

⠀

To Find :

⠀

Solution :

Here,

So, from l² = h² + r², we have :

⠀

⠀

[tex]{\qquad \sf \dashrightarrow{ \: l = \sqrt{ {h}^{2} + {r}^{2} \: }cm }}[/tex]

[tex]{\qquad \sf \dashrightarrow{ \: l = \sqrt{ {(16)}^{2} + {(12)}^{2} \: }cm }}[/tex]

[tex]{\qquad \sf \dashrightarrow{ \: l = \sqrt{ 256 + 144 } \: cm }}[/tex]

[tex]{\qquad \sf \dashrightarrow{ \: l = \sqrt{ 400} \: cm }}[/tex]

[tex]{\qquad \sf \dashrightarrow{ \: \bf l = 20 \: cm }}[/tex]

⠀

So, Curved surface area = [tex] \pi{rl}[/tex]

[tex]{\qquad \sf \dashrightarrow \: 3.14 \times 12 \times 20 \: {cm}^{2} }

[/tex]

[tex]{\qquad \bf \dashrightarrow \: 753.6 \: {cm}^{2} }

[/tex]

⠀

Further, total surface area = [tex] \pi{rl} + \pi{ {r}^{2} }[/tex]

[tex]{\qquad \sf \dashrightarrow \: (753.6 + 3.14 \times 12 \times 12 )\: {cm}^{2} }[/tex]

[tex]{\qquad \sf \dashrightarrow \: (753.6 + 452.16 )\: {cm}^{2} }[/tex]

[tex]{\qquad \bf \dashrightarrow \: 1205.76 \: {cm}^{2} }[/tex]

Answer:

QR

Step-by-step explanation:

If two shape are congruent, it means they have equal corresponding sides and angles. You can find which ones are corresponding to each other by where the letters are placed in the shapes given name.

For example, given: BCDE & OPQR

BC = OP

CD = PQ

DE = QR

Notice that DE is the 3rd and last letter in BCDE

QR is also the 3rd and last letter of OPQR

Using the t-distribution, as we have the standard deviation for the sample, it is found that there is a significant difference between the wait times for the two populations.

At the null hypothesis, we test if there is no difference, that is:

[tex]H_0: \mu_A - \mu_B = 0[/tex]

At the alternative hypothesis, it is tested if there is difference, that is:

[tex]H_1: \mu_A - \mu_B = 0[/tex]

For each sample, we have that:

[tex]\mu_A = 73, s_A = \frac{2}{\sqrt{100}} = 0.2[/tex]

[tex]\mu_B = 74, s_B = \frac{4}{\sqrt{100}} = 0.4[/tex]

For the distribution of differences, we have that:

[tex]\overline{x} = \mu_A - \mu_B = 73 - 74 = -1[/tex]

[tex]s = \sqrt{s_A^2 + s_B^2} = \sqrt{0.2^2 + 0.4^2} = 0.447[/tex]

It is given by:

[tex]t = \frac{\overline{x} - \mu}{s}[/tex]

In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis.

Hence:

[tex]t = \frac{\overline{x} - \mu}{s}[/tex]

[tex]t = \frac{-1 - 0}{0.447}[/tex]

[tex]t = -2.24[/tex]

Considering a one-tailed test, as stated in the exercise, with 100 - 1 = 99 df, using a t-distribution calculator, the p-value is of 0.014.

Since the p-value is less than the significance level of 0.05, it is found that there is a significant difference between the wait times for the two populations.

More can be learned about the t-distribution at https://brainly.com/question/16313918

Answer:

b

Step-by-step explanation:

We know we are trying to find an inverse function and the normal function of the first part would be (x+7)²-5, so we can eliminate all equations with an equation starting with  (x+7)²-5. So, a and f are out of the scope.

The domain of the inverse function will be the range of the normal function.

So, the range of the first part of the inverse function is -5 < x < -3 which is the domain of the normal function. Now, we can eliminate c, d, and e.

Our answer must be b.

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

Explanation:

The endpoint (-7,-5) reflects over the line y = x when forming the inverse. It will reflect to (-5,-7). The x and y coordinates swap.

The new point (-5,-7) forms the vertex of a piece of a parabola. Since it's the vertex, we have something of the form y = a(x+5)^2 - 7 which matches with choices B and D.

However, we can rule out choice D because the interval is not x < -3. Try out a point like x = -100 and it will make x < -3 true, but -100 is definitely not part of the reflected parabola formed. Instead, we must have -5 < x < -3 as the domain of the inverse.

Notice how the range of the square root portion on the left is -5 < y < -3. The range of the original function forms the domain of the inverse, and vice versa. Effectively, all we're doing is replacing y with x when going from -5 < y < -3 to -5 < x < -3.

--------------

Also another reason we can rule out choice D is to see that something like x = -2.5 will make log(x+2) to result in a non-real number. This is due to the fact that the domain of log(x) is x > 0. So the domain of log(x+2) is x > -2.

Answer:

$0.3

Step-by-step explanation:

$1.11 divided by 4 notebooks. Each notebook costs $0.3.

Answer:

  (5√12)/12

Step-by-step explanation:

In general, 1/√a can be rationalized as (√a)/a. That is the denominator can be multiplied by the square root of the same number to rationalize it. The numerator needs to be multiplied by the same square root.

 [tex]\dfrac{5}{\sqrt{12}}=\dfrac{5}{\sqrt{12}}\cdot\dfrac{\sqrt{12}}{\sqrt{12}}=\boxed{\dfrac{5\sqrt{12}}{12}}[/tex]

[tex]\bold{\huge{\underline{ Solution }}}[/tex]

Here, we have

But,

Let the width of the uniform strip of the floor be x

So, The new dimensions of the room will be

We know that,

Area of rectangle

[tex]\bold{\red{ = Length} }{\bold{\red{\times{ Breath}}}}[/tex]

Subsitute the required values,

[tex]\sf{ ( 19 - 2x) }{\sf{\times{(26 - 2x) = 330}}}[/tex]

[tex]\sf{19(26 - 2x) }{\sf{\times{ - 2x (26 - 2x) = 330}}}[/tex]

[tex]\sf{ 494 - 38x - 52x + 4x^{2} = 330 }[/tex]

[tex]\sf{ 494 - 38x - 52x + 4x^{2} = 330 }[/tex]

[tex]\sf{ - 90x + 4x^{2} = 330 - 494 }[/tex]

[tex]\sf{ - 90x + 4x^{2} = - 164 }[/tex]

[tex]\sf{ 4x^{2} - 90x + 164 = 0 }[/tex]

[tex]\sf{ 4x^{2} - 82x - 8x + 164 = 0 }[/tex]

[tex]\sf{ 2x( 2x - 41 ) -4( 2x - 41 ) = 0 }[/tex]

[tex]\sf{ (2x - 4) ( 2x - 41) = 0}[/tex]

[tex]\sf{ x = 2 , x = }{\dfrac{41}{2}}[/tex]

Length of the rug

[tex]\sf{ (19 - 2x) = 19 - 2(2)}[/tex]

[tex]\sf{ = 19 - 4}[/tex]

[tex]\sf{ = 15\: feet}[/tex]

Breath of the rug

[tex]\sf{ (26 - 2x) = 19 - 2(2)}[/tex]

[tex]\sf{ = 26 - 4}[/tex]

[tex]\sf{ = 22\:feet}[/tex]

Hence, The dimensions of the rug are 15 feet and 22 feet.

Answer:

13. i dint understand

14. 9

15. (D)

16. (C)

17. I guess (A)

Step-by-step explanation:

Hope it helps!!!

The percentage of Alberto's income that is used to pay for his rent and groceries is 40%.

Amount for rent = $896

Amount for groceries = $384

Total amount = $1280

Therefore, the percentage of Alberto's income that is used to pay for his rent and groceries will be:

= 1280/3200 × 100

= 0.4 × 100

= 40%

Learn more about percentages on:

https://brainly.com/question/24304697

Answer

40% of Alberto's income is used to pay rent and goceries.

Step-by-step explanation:

1. Add his rent and goceries....

2. =$1280

3.Divide: 1280/3200

4.=0.4

5. 0.4x100

6. =40%

Answer:

Attached is what the graph should look like

Step-by-step explanation:

Answer:

[tex]\huge\boxed{ \sf x^4+28x^3+294x^2+1372x+2401}[/tex]

explanation:

[tex]\sf (x+7)^4[/tex]

[tex]\hookrightarrow \sf (x+7) (x+7) (x+7) (x+7)[/tex]

[tex]\hookrightarrow \sf (x^2 +14x+49)(x+7)(x+7)[/tex]

[tex]\hookrightarrow \sf (x^3 +14x^2+49x+7x^2+98x+343)(x+7)[/tex]

[tex]\hookrightarrow \sf (x^3 +21x^2 +147x +343)(x+7)[/tex]

[tex]\hookrightarrow \sf x^4 + 21 x^3 + 147x^2 + 343x + 7x^3 + 147x^2 + 1029x+ 2401[/tex]

[tex]\hookrightarrow \sf x^4+28x^3+294x^2+1372x+2401[/tex]

note: just keep multiplying and simplifying with patience.

[tex](x + 7)^{4} [/tex]

Write 4 as a sum

[tex] {(x + 7)}^{2 + 2} [/tex]

Use [tex] \boxed{ \pmb{ {a}^{m + n} = {a}^{m} \times {a}^{n} }}[/tex] to expand the expression

[tex] {(x + 7)}^{2} \times {(x + 7)}^{2} [/tex]

Use [tex] \boxed{ \pmb{(a + b)^{2} = {a}^{2} + 2ab + {b}^{2} }}[/tex] to expand the expression

[tex] ( {x}^{2} + 14x + 49) \times ( {x}^{2} + 14x + 49)[/tex]

Multiply the parentheses

[tex] {x}^{4} + 14 {x}^{3} + {49x}^{2} + 14 {x}^{3} + {196x}^{2} + 686x + {49x}^{2} + 686x + 2401[/tex]

Collect like terms

[tex] {x}^{4} + {28x}^{3} + {294x}^{2} + 1372x + 2401[/tex]

Answer:

Just get a new drink.

Get her the similar one or any drink of her choice.

Answer:

(1,10)

Step-by-step explanation:

2-1=1

4+6=10

Answer:

(1, 10).

When you pit on a graph, you are able to easily see that going up 6 and left 1 will put you at (1, 10).

The sum of the angle of the triangle is 180 degrees. Then the measure of angle ∠2 is 98°.

Angle is the space between the line or the surface that meets.  And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

Corresponding angle - If two lines are parallel then the third line. The corresponding angles are equal angles.

Lines y and z are parallel.

The parallel lines are cut by transversals s and t.

The angles are formed by lines s, t, and y be (10x + 5), a, (4x – 7).

∠1 and (10x + 5)° are equal because they are corresponding angles.

And ∠1 and 65° are equal because they are supplement angles.

Then we have

(10x + 5)° = 65°

        10x = 65 - 5

        10x = 60

            x = 6

Then we have

(10x + 5)° = 10 × 6 + 5 = 65°

(4x – 7)° = 4 × 6 – 7 = 17°

We know that the sum of internal angles of the triangle is 180 degrees. Then we have

∠2 + 65° + 17° = 180°

       ∠2 + 82° = 180°

                ∠2 = 98°

The measure of angle ∠2 is 98°.

More about the angled link is given below.

https://brainly.com/question/15767203

Answer:

The answer is 28 degrees.

Step-by-step explanation:

None needed, it's right.

Answer:

volume= 1040

surface area=696

Step-by-step explanation:

1/2x 13x10x16

=1040#

(1/2x12x10)2

=120

(16x13)2

=416

16x10

=160

120+426+160

=696#

Answer:

he spent  practicing the cello 10.5  hours

Step-by-step explanation:

The proportion is  1.5   (3/2)

7x1.5 = 10.5

Both fractions have the same denominator so you just need to subtract the numerators:

14-4 = 10

They had 10/15 left.

This can be simplified to be 2/3

Answer: they had 2/3 pounds left.

Answer:

2/3 pounds left

Step-by-step explanation:

10/15 pounds left because

14/15 - 4/15 = 10/15

10/15 = 2/5

A brainliest would be appreciated if this helped you! :)

- profparis

Answer:

t = 24r

Step-by-step explanation:

T represents the time 24 is the miles and r represents the miles per hour.

Answer:

Relate the points down below to yourself and give examples

Step-by-step explanation:

You show confidence and leadership

Being yourself/unique

You speak and interact kindly with everyone

You show respect and concern for others

You give advice to those who need it

You have humility and a willingness to admit mistakes.

You do good things outside of school

Answer:

B.

Step-by-step explanation:

2 out of the 6 squares are shaded. 1/3 times 2 = 2/6

Hope that helps!

Answer:

[B]

Step-by-step explanation:

We can cross multiply to see which is equal

[A] 1 out of 6 is shaded [1/6]

1/6 < 1/3

[B] 2  out of 6 is shaded [2/6]

2/6 = 1/3

[C] 3 out of 6 is shaded [3/6]

3/6 > 1/3

[D] 4 out of 6 is shaded [4/6]

4/6 > 1/3

As you can see [B] is equal to 1/3

Thus, [B} is the answer.

~Learn with Lenvy~

Answer:

c 9+4= 13 and -7+-3 is -10 and 15 is 15 XD