What is the sum of the measures of angles 2 and 3? Explain your answer.

x=negative 1

y=1

showing my work Substitute y=2x+3y=2x+3 into 2x+5y=32x+5y=3.

12x+15=312x+15=3

2 Solve for xx in 12x+15=312x+15=3.

x=-1x=−1

3 Substitute x=-1x=−1 into y=2x+3y=2x+3.

y=1y=1

Answer:

x= -1

y= 1

Step-by-step explanation:

since y=2x+3; plug into other equation

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

(distribute 5 to 2x+3)

2x+10x+15=3

(add like terms)

12x= -12

divide by 12 to get x alone

x=-1

now you cand plug in x to either equation to solve for y, but plug into the first equation to make it easier.

y=2(-1)+3    

y=-2+3

y=1

Answer:

segment AC is equal to A''B'' over 2

Step-by-step explanation:

Given that,

Scale factor = 2

The coordinates of A is (-3,3)

The coordinates of B is (1,-3)

The coordinates of C is (-3,3)

We know that, the ratio of length of new segment to the length of segment of original figure is called scale factor.

So.

[tex]\dfrac{A''B''}{AC}=2\\\\\text{On cross multiplying,}\\\\AC=\dfrac{A''B''}{2}[/tex]

It means, segment AC is equal to A''B'' over 2 is the correct answer.

Answer:

145.9°C

Step-by-step explanation:

Given that :

Lowest temperature recorded (Soviet Vostock station Antarctica) = - 89.2°C

Highest temperature recorded (Greenland Ranch California) = 56.7°C

Difference between the highest and lowest recorded temperature :

(Highest temperature - lowest temperature)

(56.7°C - (-89.2°C))

= 56.7°C + 89.2°C

= 145.9°C

Answer:33

Step-by-step explanation: You do what's inside the parenthesis first then you divide the number by 6 and lastly you add 5squared which is 25 to the quotient.

The answer is proportion. A proportion basically equates two ratios.

A statement that two ratios are equal is called a proportion.

In a proportion, the four quantities involved are related in such a way that the first ratio is equal to the second ratio. It can be represented in the form of "a:b = c:d," where "a" and "b" are the terms of the first ratio, and "c" and "d" are the terms of the second ratio.

Proportions are used in various mathematical applications, such as solving problems involving ratios, scaling, similarity, and solving for unknown values. They provide a way to compare quantities and establish relationships between them based on their relative sizes.

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Steps Using Factoring By Grouping

[tex]4 {s}^{2} - 12s = - 9[/tex]

[tex]4 {s}^{2} - 12s + 9 = 0[/tex]

[tex](4 {s}^{2} - 6s) + ( - 6s + 9) = 0[/tex]

[tex]2s(2s - 3) - 3(2s - 3) = 0[/tex]

[tex](2s - 3)(2s - 3) = 0[/tex]

[tex](2s - 3) {}^{2} = 0[/tex]

 ‍ 

[tex]2 s - 3 = 0[/tex]

[tex] \: \: \: \: \: \: \: 2s = 0 + 3[/tex]

[tex] \: \: \: \: \: \: \: 2s = 3[/tex]

[tex] \: \: \: \: \: \: \: \: \: s = \frac{3}{2} [/tex]

[tex] \: \: \: \: \: \: \: \: \: s = 1 \frac{1}{2} [/tex]

[tex] \: \: \: \: \: \: \: \: \: s = 1,5[/tex]

[tex] \green {\boxed{s = \frac{3}{2} = 1 \frac{1}{2} =1,5}}[/tex]

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Answer:

Step-by-step explanation:

4x = 2x + 402    subtract 2x from both sides

4x - 2x = 2x - 2x + 402

2x = 402

Answer: Probability of a student playing both basketball and baseball is 4/28 or 14.3%

Step-by-step explanation:

1) Students playing atleast one sport = 28 - 6 = 22

2) N(Basketball ∩ Baseball) = N(Basketball) + N(Baseball) - N (Basketball U Baseball)

N(Basketball ∩ Baseball) = 9 + 17 - 22 = 4

3) Number of students playing both basketball and baseball = 4

Total number of students = 28

Probability of a student playing both basketball and baseball is 4/28

4/28= 0.1428571429 x 100%= 14.3%

Answer:4/28

Step-by-step explanation:4/28

Answer:

10

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

15/1.25 is 12

Answer:

12

Step-by-step explanation:

Given:

The equation is

[tex]-5x-16=8[/tex]

To find:

The error and correct solution.

Solution:

We have,

[tex]-5x-16=8[/tex]

Add 16 on both sides.

[tex]-5x-16+16=8+16[/tex]

[tex]-5x=24[/tex]

Divide both sides by -5.

[tex]\dfrac{-5x}{-5}=\dfrac{24}{-5}[/tex]

[tex]x=-\dfrac{24}{5}[/tex]

Third step is incorrect because he divide the equation by 5 instead of -5.

Therefore, the correct solution is [tex]x=-\dfrac{24}{5}[/tex].

Answer:

it is C

Step-by-step explanation:

i took all the test and got a hundred

if we graph his distance with respect to time as a line then slope of line is 45.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Arturo after 3 hours of driving is 135 miles from home. After 5 hours of driving, he is 225 miles

from home

Let the two points are (3, 135) and (5,225)

m=225-135/5-3

=90/2

=45

Hence, if we graph his distance with respect to time as a line then slope of line is 45.

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Answer:

2/3

Step-by-step explanation:

Initially it would be 4/6 which you can simplify as 2/3

Answer:

43

Step-by-step explanation:

Answer:

43 is what I would say

Step-by-step explanation:

step by step

Answer:

x= -1/12

Step-by-step explanation:

Sum of first 7 terms of an AP = 49.

Sum of first 17 terms = 289

the sum of first 30 term

We know that,

Sum of first n terms of an AP – S(n) = n/2 * [ 2a + (n - 1)d ]

Hence,

→ 7/2 * [ 2a + (7 - 1)d ] = 49

→ 2a + 6d = 49 * 2/7

→ 2( a + 3d ) = 14

→ a + 3d = 14/2

→ a + 3d = 7 -- equation (1)

Similarly,

→ 17/2 * [ 2a + 16d ] = 289

→ 17/2 * 2 * (a + 8d) = 289

→ a + 8d = 289 * 2/17 * 1/2

→ a + 8d = 17 -- equation (2)

Subtract equation (1) from (2).

→ a + 8d - (a + 3d) = 17 - 7

→ a + 8d - a - 3d = 10

→ 5d = 10

→ d = 10/5

→ d = 2

Substitute the value of d in equation (1).

→ a + 3 * 2 = 7

→ a = 7 - 6

→ a = 1

Now,

Sum of first 30 terms = 30/2 * [ 2(1) + (30 - 1)(2) ]

→ S(30) = 15 (2 + 58)

→ S(30) = 15 * 60

→ S(30) = 900

Therefore, the sum of first 30 terms of the given AP is 900.

I hope it will help you.

Regards.

answer refer in pic siso

Answer:

x = 1

Step-by-step explanation:

8 - 2x = -8x + 14

-2x + 8x = 14 - 8

6x = 6

x = 1

x=1 is the solution of the equation 8 - 2x = -8x + 14

Two or more expressions with an Equal sign is called as Equation.

The given equation is 8 - 2x = -8x + 14

x is the variable in the equation

Plus and minus are the operators

We have to solve for x

Take the variable terms one side and constants on other side

8x-2x=14-8

6x=6

Divide both sides by 6

x=1

Hence, x=1 is the solution of the equation 8 - 2x = -8x + 14

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Answer:

42

Step-by-step explanation:

5x5=40  ---->  40+2=42

Answer:

1. 16=v    top left

2. n=5.8   bottom left

3. n= -31.9   top right

4. b= 6 .   bottom right

If I am wrong I am sorry

Answer:

dunno if you still need this but the answer is (90-25-15)÷5

Step-by-step explanation:

Answer:

i do, if uu need help hmu

Step-by-step explanation:

The equation of the line that passes through the point (-5,6) and has a slope of 0 is y = 6

Equations are expressions that related two or more expressions together using an equal sign.

The formula for finding the equation of a line in point-slope form is expressed as:

y-y0 = m(x-x0) where:

Given the following

m = 0

(x0, y0) =  (-5, 6)

Substitute the given values into the formula

y - 6 = 0 (x - (-5))

y - 6 = 0 (x + 5)

y - 6 = 0

y = 6

Hence the equation of the line that passes through the point (-5,6) and has a slope of 0 is y = 6

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Answer:

y=7x-5

Step-by-step explanation:

y=mx+b

2=(7)(1)+b

2=7+b

2-7=b

-5=b

Answer:

I believe the answer is the first one A

Step-by-step explanation:

If you do this will construct the perpendicular bisector for AB.

Answer:

iT IS A

Step-by-step explanation:

look it dinometer of last two numbers at the down and cross multiple them by the lcm

Answer:

x = -9 :)

Step-by-step explanation:

solve for x by simplifying both sides of the equation then isolating the equation

brainliest pls if correcto