a. [(-28)-(+42)] - (-13)​

Answer:

sum of all angle = 180

given angle = 3X, 4 X AND 5 X

3 X + 4 X+ 5 X = 180

12 X = 180

X = 180/ 12

X = 15

X= 15 IS apply to given angle.

3 X= 3 ×15 = 45

4 X= 4 ×15 = 60

5 X = 5 ×15 =75

ANS; The smallest angle is 45

Step-by-step explanation:

Answer:

[tex]4x^2(x-2)(x+6)[/tex]

Step-by-step explanation:

Factor [tex]4x^2[/tex]

[tex]4x^2(x^2)+4x^2(4x)-4x^2(-12)[/tex]

[tex]4x^2(x^2+4x-12)[/tex]

[tex]4x^2(x-2)(x+6)[/tex]

good luck, hope this helps :)

Answer:

thanks

Step-by-step explanation:

We can prove this by contradiction.

Let us assume that c2=a2+b2 in ΔABC and the triangle is not a right triangle.

Now consider another triangle ΔPQR. We construct ΔPQR so that PR=a, QR=b and ∠R is a right angle.

By the Pythagorean Theorem, (PQ)2=a2+b2.

But we know that a2+b2=c2 and a2+b2=c2 and c=AB.

So, (PQ)2=a2+b2=(AB)2.

That is, (PQ)2=(AB)2.

Since PQ and AB are lengths of sides, we can take positive square roots.

PQ=AB

That is, all the three sides of ΔPQR are congruent to the three sides of ΔABC. So, the two triangles are congruent by the Side-Side-Side Congruence Property.

Since ΔABC is congruent to ΔPQR and ΔPQR is a right triangle, ΔABC must also be a right triangle.

This is a contradiction. Therefore, our assumption must be wrong.

Step-by-step explanation:

We can prove this by contradiction.

Let us assume that c2=a2+b2 in ΔABC and the triangle is not a right triangle.

Now consider another triangle ΔPQR. We construct ΔPQR so that PR=a, QR=b and ∠R is a right angle.

By the Pythagorean Theorem, (PQ)2=a2+b2.

But we know that a2+b2=c2 and a2+b2=c2 and c=AB.

So, (PQ)2=a2+b2=(AB)2.

That is, (PQ)2=(AB)2.

Since PQ and AB are lengths of sides, we can take positive square roots.

PQ=AB

That is, all the three sides of ΔPQR are congruent to the three sides of ΔABC. So, the two triangles are congruent by the Side-Side-Side Congruence Property.

Since ΔABC is congruent to ΔPQR and ΔPQR is a right triangle, ΔABC must also be a right triangle.

This is a contradiction. Therefore, our assumption must be wrong

Answer:

about 137 degrees

Step-by-step explanation:

see attached picture

Answer:

Initial temperature, temperature at time 0

Step-by-step explanation:

The temperature of water in degree Fahrenheit 1 minute after stove is turned on ;

W(0) = 72 ; Initial temperature od water, that is temperature when time, t = 0

W(5) > W(2) ; This will be true, the tperature after 5 minutes should be greater Than the temperature after 2 minutes

W(10) = 212 ; The temperature of water is 212 degree Fahrenheit after 10 minutes

W(12) = W(10)

e. W(15) > W(30)

Answer:

The degree of the equation is 5.

Step-by-step explanation:

At first we have a 4 polinomyal expressions. Something happens here that in the third step we only have 2 polynomial expressions.

What is occuring? In this case, we just grab two polynomial and try to reduce the expression to a simple expression (And larger) so, we take the first two polynomial expressions:

(2x + 3) * (x² - 1)

In this case, the first term will multiply the first and second term of the second polynomial expression, and after that, the second term of the first polynomial do the same thing with the other two terms:

(2x * x²) + (2x * -1) + (3 * x²) + (3 * -1)

= 2x³ - 2x + 3x² - 3

Now, we apply the same thing with the other two expressions:

(x + 1) * (x - 2)

= (x * x) + (x * -2) + (1 * x) + (1 * -2)

= x² - 2x + x -2

= x² - x - 2

For the last step, we do the same thing, only that in this case is larger cause we have a bigger expression, but the principle is the same. To get a better understanding I will put every operation by line so you won't get confused:

(2x³ - 2x + 3x² - 3) * (x² - x - 2)

= (2x³ * x²) + (2x³ * -x) + (2x³ * -2)

+ (-2x * x²) + (-2x * -x) + (-2x * -2)

+ (3x² * x²) + (3x² * -x) + (3x² * -2)

+ (-3 * x²) + (-3 * -x) + (-3 * -2)

= (2x⁵ - 2x⁴ - 4x³)  

+ (-2x³ + 2x² + 4x)

+ (-3x⁴ - 3x³ - 6x²)

+ (-3x² + 3x + 6)

Simplifying:

The term with the highest exponent will determine the degree of the equation. So the equation is 5th degree.

Hope this helps

because 2^28 = 268,435,456

Answer:

Andrew is incorrect.

Step-by-step explanation:

He is incorrect because instead of multiplying 2 x 28, he should have did 2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2, which is 268,435,456.

I tm pretty sure this is correct, please comment if it is right or wrong

Answer:

56

Step-by-step explanation:

hope this helps

plz give me brailiest

Answer:

Step-by-step explanation:

5+4=24

Step-by-step explanation:

[tex] {2.71 \times 10}^{ - 3} [/tex]

This can be rewritten as

[tex]2.71 \times \frac{1}{10^{3} } [/tex]

If we will solve this way,

[tex]\frac{2.71}{1000} = 0.00271[/tex]

But since the denominator is just in terms of 1, we can just simply get the (-3). Note that we have to take the negative into consideration.

From the original position of the decimal point, move the decimal point 3 times TO THE LEFT. Therefore, from 2.71 we move the decimal point 3 times to the left, 0.00271.

If the exponent has a positive value, move TO THE RIGHT.

For example,

[tex]2.71 \times {10}^{3} = 2.71 \times 1000 \\ = 2710[/tex]

Note that the exponent has a positive value. Therefore, we have to move the decimal point 3 times TO THE RIGHT. Producing 2710 as the answer.

Answer:

Area of square= side*side

So we will have,

14*14

= 196cm²

Answer:

distributive property solve 3 into 4 - 2

Hello!

The Distributive Property states the following:

a(b+c)=ab+ac

where

a, b, and c can be either constants or variables.

Now, simplify:

15(4n-2)

15*4n - 15*2

60n-30

And we can't simplify it any further, because 60 n and 30 aren't like terms.

Hope everything is clear.

Let me know if you have any questions!

#KeepOnLearning

:-)

Answer:

5000inches

Step-by-step explanation:

i think is that!

Answer:

the answer should be I= 1.51

Answer:

i=1+0.51/1

Step-by-step explanation:

5.6=i+4.09

We move all terms to the left:

5.6-(i+4.09)=0

We get rid of parentheses

-i-4.09+5.6=0

We add all the numbers together, and all the variables

-1i+1.51=0

We move all terms containing i to the left, all other terms to the right

-i=-1.51

i=-1.51/-1

i=1+0.51/1

Answer:

2√5............or..........4.47214

Answer:

The ratio of students who study French to the students who don’t study French is [tex]\frac{4}{11}[/tex]

Step-by-step explanation:

2/3 of the students study a language. Of those, 2/5 study french:

So the proportion of students who study French is given by:

[tex]\frac{2}{3} \times \frac{2}{5} = \frac{2*2}{3*5} = \frac{4}{15}[/tex]

Proportion of students who dont study French:

[tex]1 - \frac{4}{15} = \frac{15-4}{15} = \frac{11}{15}[/tex]

Ratio of students who study French to the students who don’t study French.

Division of fractions is the multiplication of the numerator by the inverse of the denominator. Ratio of a to b is a divided by b. So

[tex]\frac{\frac{4}{15}}{\frac{11}{15}} = \frac{4}{15} \times \frac{15}{11} = \frac{4}{11}[/tex]

The ratio of students who study French to the students who don’t study French is [tex]\frac{4}{11}[/tex]

Answer:

72

Step-by-step explanation:

2x2x13=52

2x2x5=20

52+20=72

Answer:

Faces

Step-by-step explanation:

They both have 5 faces each....

Hope it helps!!!

Answer: 59

Step-by-step explanation:

Answer:

I think it's letter b.29

Answer:

True.

See below for explanation.

Step-by-step explanation:

Reason 1

Proof

[tex] \begin{cases} y = 4x - 3 \\ y = 4x - 5 \end{cases} \\ 4x - 3 = 4x - 5 [/tex]

Combine like terms.

[tex]4x - 4x = - 5 + 3 \\ 0 = - 2[/tex]

See that the equation is false no matter which numbers you substitute in x-term.

Reason 2

See the attachment below for graphs.

Since both graphs do not really have intercepts, that means they do not provide any solutions. Hence, no solutions.

Answer:

the answer is about 7.5

Step-by-step explanation:

hope this helps

tell me if you want me to explain it

Answer:

230

Step-by-step explanation:

Answer:

Multiply

5.67 by 1.25.

7.0875

Answer:

ioaiaifzkziz%syzjzxsbshshbsndnxjddd

Answer:

2+2=4

Step-by-step explanation:

Answer:

1. x=6

2. x=2

Step-by-step explanation:

2:6

x:18

From 6 to 18, 6 was multiplied by 3. To keep the equality, we must multiply the other side by three as well. Therefore, x is equal to 2*3 which equals 6.

x=6.

5:7

(x+3):7

For this one, the second value did not change, so we know that x+3 has to equal 5. Therefore, x=2.

x=2