Which of the following is equal to the opposite of −45?

Answer:

the first one: The coordinates of A' are (-2, 3)

and the last one: The coordinates of B' are (-2, 0) and the coordinates of C' are (2, -1).

Step-by-step explanation:

when you rotate a triangle counterclockwise by 90° you swap the numbers of the x and y coordinates.

like how the coordinates of B' were (0, 2) and became (-2,0) once the triangle was rotated.

Based on the SAS similarity theorem, the right option is: C) ΔVML ∼ ΔUMT.

In order to determine if two triangles are similar, find out if the ratio fo their corresponding side lengths are equal, that is, their lengths must be proportional to each other if they are similar triangles.

The SAS states that if two pairs of sides of two triangles are proportional to each other, and they have a pair of corresponding congruent included angles, then they are similar triangles.

Given the image showing the two triangles, we have the following measures:

VM = 14, which is corresponding to UM = 49

LM = 8, which is corresponding to TM = 28

VM/UM = 14/49 = 2/7

LM/TM = 8/28 = 2/7

This means the two sides are proportional.

Also, angles VML and UMT are congruent to each other based on the vertical angles theorem.

Therefore, we can state that the ΔVML ∼ ΔUMT by SAS. The right option is C.

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Step-by-step explanation:

sorry man i wish i could help

Answer:

21°

angles remain the same in dilutions but lengths don't

plss mark me brainliesttt

Answer:

There are 3,900 tickets of $28 each and 1,100 tickets of $40 each sold.

Step-by-step explanation:

x = the number of $28 tickets

y = the number of $40 tickets

x + y = 5000

28x + 40y = 153200

x = 3,900 tickets

y = 1,100 tickets

[tex]|2x|\geq1\\\\2x\ge1 \ \ \text{or} \ \ 2x\leq-1\\\\\huge\boxed{x\geq\frac{1}{2} \ \ \text{or} \ \ x\leq-\frac{1}{2}}[/tex]

The absolute value of inequality is 180 ≤  x ≤  200 and its solution lies in [180, 200].

Linear inequality refers to the relation between a linear algebraic expression to some known value that contains inequality sign.

Unlike a linear equation it can have a range of values inside an interval.

Suppose the operating temperature be x.

Then, as per the question the absolute difference of the temperature and 190°F is within 10°F.

It can be written in the form of inequality as follows,

|x - 190| ≤ 10

⇒ x - 190 ≤ 10 and  x - 190 ≥ -10

⇒ -10 ≤ x - 190 ≤ 10

⇒ -10 + 190 ≤ x ≤ 10 + 190

⇒ 180 ≤  x ≤  200

Thus, the range of acceptable temperatures lie in [180, 200].

Hence, the absolute value of inequality and its solution are given by  180 ≤  x ≤  200 and [180, 200] respectively.

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Answer:

sound great so whats your question

Step-by-step explanation:

Step-by-step explanation:

im kinda busy can I answer your questions later??

Answer:

[tex]8b - 4x + 5 \\ \\ 8( - 2) - 4( - 9) + 5 \\ \\ - 16 + 36 + 5 \\ \\ = 25[/tex]

I hope I helped you^_^

Answer:

25

Explanation:

Evaluate  [tex]8(-2)-4(-9)+5[/tex]

Answer:

She was thinking of it as normal multiplication like 10 x 4 = 40. but the real answer is 10,000

Step-by-step explanation:

Answer:

I would have psychic powers so I could have multiple powers.

Fraction: 1/11, Numerator: 1

Step-by-step explanation:

Step-by-step explanation:

the distance between 6 and 10 is 4, same distance between 10 to 16 is 6 by the way:

16+8=24

24+10=34

34+12=46

46+14=58 and 58 is 7th term in arithmetic sequence.

I hope it will help you.

Answer:

Value of k is 9

Step-by-step explanation:

-2x + 8 = -10

-2x = -10 - 8

-2x = -18

x = -18/-2

x = 9

f(x) = f(k)

x = k

9 = k

Hello there!

We are given the function:

[tex] \displaystyle \large{f(x) = - 2x + 8}[/tex]

We want to find the value of k. First, we know that f(k) is -10. We substitute x = k and f(x) = -10.

[tex] \displaystyle \large{f(k) = - 2k + 8} \\ \displaystyle \large{ - 10 = - 2k + 8}[/tex]

Solving the equation. First, we subtract both sides by 8.

[tex] \displaystyle \large{ - 10 - 8 = - 2k +8 - 8} \\ \displaystyle \large{ - 18 = - 2k} \\ [/tex]

Divide both sides by -2.

[tex] \displaystyle \large{ \frac{ - 18}{ - 2} = \frac{ - 2k}{ - 2} } \\ \displaystyle \large{ 9= k}[/tex]

Therefore, k = 9

When we substitute k = 9 in f(k), the value is -10.

Let me know if you have any questions!

Topic: Linear Function

Answer:

[tex] - 6 + 7s - 4r - 2 \\ \\ - 6 + 7(7) - 4( - 7) - 2 \\ \\ - 6 + 49 + 28 - 2 \\ \\ = 6 9[/tex]

I hope I helped you^_^

1/4 × s = 15

s = 15 : 1/4

s = 15 × 4

s = 60

[tex]\boxed{\underline{\bf \: ANSWER}}[/tex]

[tex] \sf \: \frac{1}{4s} = 15 \\ [/tex]

Variable s cannot be equal to 0 as division by zero is not defined. Multiply both sides of the equation by 4s.

[tex] \sf \: 1=60s [/tex]

Swap sides so that all variable terms are on the left-hand side.

[tex] \sf \: 60s=1 [/tex]

Divide both sides by 60.

[tex] \sf \: s= \boxed{ \bf\frac{1}{60}}\:\sf\approx 0.0166... \\ [/tex]

__________

Hope it helps.

гคเภ๒๏ฬรคlt2222

Answer:

-311

Step-by-step explanation:

Answer:

∠ 1 = 36°

Step-by-step explanation:

Supplementary angles sum to 180° then

∠ 2 + ∠ 3 = 180° , that is

∠ 2 + 126° = 180° ( subtract 126° from both sides )

∠ 2 = 54°

Complementary angles sum to 90° , then

∠ 1 + ∠ 2 = 90° , that is

∠ 1 + 54° = 90° ( subtract 54° from both sides )

∠ 1 = 36°

The answer is 407.5, it's an exponential decay function

Answer:

32

Step-by-step explanation:

I don't know if I am correct but if you subtract 32 from 45632 then you will get 45600 which is easily divisible by 100, so your answer is 32

Answer:

7/5

Step-by-step explanation:

Answer:

1[tex]\frac{2}{5}[/tex] of an acre or 1.4 acres.

Step-by-step explanation:

The least common multiple of 10 and 2 is 10.

Convert [tex]\frac{9}{10}[/tex] and [tex]\frac{1}{2}[/tex] to fractions with a denominator of 10.

[tex]\frac{9}{10}[/tex]+[tex]\frac{5}{10}[/tex]

Since these fractions now have the same denominator, add them by adding the numerators.

[tex]\frac{9+5}{10}[/tex]

Add 9 and 5 to get 14.

[tex]\frac{14}{10}[/tex]

Reduce the fraction to the lowest terms by extracting and canceling out 2.

[tex]\frac{7}{5}[/tex]= [tex]1\frac{2}{5}[/tex] =1.4

hope this helps!

Answer:

a > b

Step-by-step explanation:

3 > -2

a > b

Answer:

a)hemant is correct

b) they didn't solve this according to BoDMAS so they got wrong answer

a) The student Hemant's answer -29 is the correct answer, b) The errors they make is the change of sign in the first step.

Simplification of an expression is the process of writing an expression in the most efficient and compact form without affecting the value of the original expression. It involves, multiply out the brackets and then simplify the resulting expression by collecting the like terms.

For the given situation,

The expression is {-10-3(10÷2)}-4

⇒ [tex][-10-3(\frac{10}{2} )]-4[/tex]

⇒ [tex][-10-3(5)]-4[/tex]

⇒ [tex][-10-15]-4[/tex]

⇒ [tex][-25]-4[/tex]

⇒ [tex]-29[/tex]

a) The student Hemant's answer -29 is the correct answer.

b) The student Diyoshana did mistake in sign in step 1 as

⇒ [tex][-10+3(\frac{10}{2} )]-4[/tex]

⇒ [tex][-10+15]-4[/tex]

⇒ [tex]5-4[/tex]

⇒ [tex]1[/tex]

The student Rupesh did mistake in sign in step 1 as

⇒ [tex][10+3(\frac{10}{2} )]-4[/tex]

⇒ [tex]25-4[/tex]

⇒ [tex]21[/tex]

Hence we can conclude that a) The student Hemant's answer -29 is the correct answer, b) The errors they make is the change of sign in the first step.

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Answer:

x = - 11

Step-by-step explanation:

Take the square root of both sides.

sqrt(x+4)^2 = sqrt(49)

x + 4 = +/- 7

x + 4 = + 7

x = 3                 Not what you want.

x + 4 = - 7

x = - 11

[tex] \large \mathfrak{Solution : }[/tex]

Distance between the places is :

Time taken to cover that distance is :

Average speed of the cyclist will be :

Avg speed = 20 km / h

Answer:

7÷(-84)=(-12).........

Answer:

No

Step-by-step explanation:

Inverse f(x) into f(x)^-1.

x = 2y + 4

Solve for y.

x -4 = 2y

x/2 - 2 = y

y = x/2 - 2

No.