please help with step by step​

Let ∠1 be x

Let ∠2 be x+84

[tex]\rm\:x+x+84= 180 \degree[/tex]

[tex] \rm \: 2x + 84 = 180[/tex]

[tex] \rm \: 2x = 180 - 84[/tex]

[tex] \rm \: 2x = 96[/tex]

[tex]\boxed{ \bf \: x=48 \degree}[/tex]

[tex]\begin{gathered} \sf \: ∠1 = x \\ \sf \: = 48 \degree\end{gathered}[/tex]

[tex]\begin{gathered} \sf \: ∠2 = x+84 \\ \sf = \: 48+84 \\ \sf∠2 = 132 \degree\end{gathered}[/tex]

Answer:

48°

132°

Step-by-step explanation:

Let the measure of one angle be x°

So, Measure of supplementary angle = (x + 84)°

x° +(x +84)° = 180°

(2x + 84)° = 180°

2x + 84 = 180

2x = 96

x = 96/2

x = 48°

(x + 84)° = 48 + 84 = 132°

Answer:

see explanation

Step-by-step explanation:

both linear equations will have the form

y = mx + c ( m is the slope and c the y- intercept )

Chef Mate

c(n) = mn + c

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, 14) and (x₂, y₂ ) = (3, 18.5) ← 2 ordered pairs from the table

m = [tex]\frac{18.5-14}{3-2}[/tex] = [tex]\frac{4.5}{1}[/tex] = 4.5 , then

c(n) = 4.5n + c ( n represents ounces )

To find c substitute any ordered pair from the table into c(n)

using (4, 23 )

23 = 18 + c ⇒ c = 23 - 18 = 5

c(n) = 4.5n + 5 ← equation for Chef Mate

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

Similarly for Grocery Gourmet

g(n) = mn + c

using (2, 23 ) and (3, 27 ) to find m

m = [tex]\frac{27-23}{3-2}[/tex] = [tex]\frac{4}{1}[/tex] = 4 , then

g(n) = 4n + c

using (4, 31 ) to find c

31 = 16 + c ⇒ c = 31 - 16 = 15

g(n) = 4n + 15 ← equation for Grocery Gourmet

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

Equate the 2 equations to find when cost is the same

4.5n + 5 = 4n + 15 ( subtract 4n from both sides )

0.5n + 5 = 15 ( subtract 5 from both sides )

0.5n = 10 ( divide both sides by 0.5 )

n = 20

Then when n = 20

c(n) = 4.5(20) + 5 = 90 + 5 = 95

g(n) = 4(20) + 15 = 80 + 15 = 95

Both Chef Mate and Grocery Gourmet charge $95 for 20 ounces of extract

Answer:

1. Correct

2. Correct

3. Correct

4. Correct

5. Incorrect

6. Correct

7. Incorrect

8. Incorrect

9. Correct

10. Correct

11. Incorrect

Step-by-step explanation:

Answer:

12.60 x 0.075 = $0.945

Total cost:- 12.60 plus 0.945 = $13.55

Step-by-step explanation:

1) 4x + 5y

→ 4*6 + 5*1

→ 24 +5 = 29

2) 2x (20-y)

→ 2*6 (20-1)

→ 12 *19 = 228

3) x ÷ 3 + y

→ 6 ÷ 3 + 1

→ 2 +1 = 3

4) 4y ÷ 2 + (8x + 10)

→ 4*1 ÷ 2 +(8*6+10)

→ 2 + (48+10)

→ 2 + 58

→ 60

5 ) 5. Patty made $34 baby sitting on each of 3 weekends. If she spent $50 on gifts for her family, how much money does she have left?

Money made each weekend = $34

Money made in 3 weekend = $34*3 =$102

Money spent = $50

Therefore ,

→Money left = Money made in 3 weekends - Money spent

→ Money left = $102 - $50 = $52

6.Carlos solved 20-(2x6) + 8 divide 4 = 29. Is this the correct answer? ( In attachment it's written 29 and not 28 .)

Given equation is ,

→ 20 - (2 × 6) + 8 ÷ 4 = 29

Solve inside the brackets ,

→ 20 - 12 + 8 ÷ 4

Perform division ,

→ 20 -12 + 2

Perform addition ,

→ 22 - 12

Perform subtraction,

→ 10

No , he is wrong the answer should have been 10 but he got 29 .

I hope this helps .

Answer:

2000 - 150 + 20=

1,870

Answer:

b) 100 square units as 36 add 64 is 100

Answer:

circle: 2, 1/2

square: 1 1/2, 3 1/2

triangle: 0, 4 1/2

Answer:

Square X-coordinate: 1 and 1/2

Square Y-coordinate: 3 and 1/2

Triangle X-coordinate: 0

Triangle Y-coordinate: 4 and 1/2

Step-by-step explanation:

Answer:

6288 2301 202 -8 -282

im genius

Answer:

6/16 and if you want the fraction simplified it would be 3/8. As a percentage 37.5%.

Step-by-step explanation:

Answer:

58

Step-by-step explanation:

(360 - 122 -122)/2= 58

please brainliest

Answer:

58°

Step-by-step explanation:

well first we know that the total degrees all the way around are 360° so the total number must add up to 360°.

vertical angles are the angles across from each other when two lines intersect and we know that vertical angles are congruent (the same) so 122° equals d. Next we look at the angles e and c. It might seem difficult but we remember that vertical angles are congruent so e and c are equal. the sum the first angle(122°) and d(which we already found equals 122°) equals 122+122=244. we learned at the beginning that all the angles must be 360 so 360-244=116. 116 is the sum of e and c but we know e and c are equal so 116/2=58. e=58 and c=58 so there is our answer

d=122°

e=58°

c=58°

I hope this helps!

Answer:

3.33lbs. repeating?

Step-by-step explanation:

I think it would just be 10/3 and be 3.33333333 and so on. (im just taking a guess)

Answer:

y = -2

Step-by-step explanation:

The midline is the horizontal line that passes exactly in the middle between the graph's maximum and minimum points.

From inspection, curve has a maximum at y = 1 and a minimum at y = -5

The midline between these is [tex]y=\frac{1-5}{2}=-2[/tex]

So the equation for the midline of this graph is y = -2  (shown in red on the attached graph)

Answer:

3.5 gallons of gas

Step-by-step explanation:

If m = miles

And the equation is m = 40g

Then: 140 = 40g

40g/40 = 140/40

g = 3.5 gallons of gas.

The car used "3.5" gallons of gas.

Answer:16feet

Step-by-step explanation:

The explanation is in the attached file

Answer:

It is 43%.

Step-by-step explanation:

I took the 400 and divided it by the 925. I got 0.43 and moved the decimal point over 2 spots and the answer is 43%.

Have a good day!

Perpendicular lines have slope negative reciprocal to each other .

Equation of line in point slope form

[tex]\\ \rm\Rrightarrow y-y_1=m(x-x_1)[/tex]

[tex]\\ \rm\Rrightarrow y-11=\infty(x+8)[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{y-11}{\infty}=x+8[/tex]

[tex]\\ \rm\Rrightarrow x+8=0[/tex]

[tex]\\ \rm\Rrightarrow x=-8[/tex]

Some formats of line

[tex]\boxed{\begin{array}{c|c}\boxed{\bf Form} &\boxed{\bf Equation} \\ \sf Slope\: intercept\:form &\sf y=mx+b \\ \sf Intercept\:form &\sf \dfrac{x}{a}+\dfrac{y}{b}=1\\ \sf Normal\:form &\sf xcos\omega+ysin\omega=p \\ \sf Two\: point\:form &\sf y-y_1=\left(\dfrac{y_2-y_1}{x_2-x_1}\right)(x-x_1)\\ \sf Point\:slope\:form &\sf y-y_1=m(x-x_1) \\ \sf Standard\:form &\sf Ax+By+C=0 \end{array}}[/tex]

Answer:

33.9219 (Rounded: 33.9)

Step-by-step explanation:

To find Leg  B or x we will use cos(a) = b/c

Therefore we have a = 32degrees and c = 40

So

Cos(32) = b/40

0.848 = b/40

b = 0.848 * 40

b = 33.9219

Answer:

1) Axis of symmetry = [tex]\frac{3}{2}[/tex]

2) Vertex form = [tex]y=3(x-\frac{3}{2} )^{2} -\frac{19}{4}[/tex]

Rewrite in vertex form and use this form to find the vertex (h,k).

[tex](\frac{3}{2} ,-\frac{19}{4} )[/tex] (coordinates of the vertex)

Step-by-step explanation:

Vocabulary:

- A line that passes through a figure in such a way that the part of the figure on one side of the line is a mirror reflection of the part on the other side of the line.

- The point on an angle where the two sides intersect.

Answer  

Thats the answer below!

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Given the following question:

ABC = 2, 4, and 5
DEF = 6, and 12

We know the two triangles are similar, so we can use the given information to find the hypotenuse for the second triangle.

[tex]2\times3=6[/tex]
[tex]4\times3=12[/tex]
[tex]5\times3=15[/tex]

DEF is three times larger than ABC

? = 15

Hope this helps.

Answer: 5

Step-by-step explanation:

V = lwh = 20 * 12 * ? = 1200

240 * ? = 1200

? = 5

Answer:

25.6

Step-by-step explanation:

Add 6.4 to all the sides and add them all together-

6.4+6.4+6.4+6.4 = 25.6

Now,

Volume = L × B × H

Volume = (L × B) × H

Volume = Area × H

Volume = 10/3 × 7/5 units

V = 70/15 = 14/3 or 4.7 cubic units

Thus, The answer is 14/3 or 4.7 cubic units

-TheUnknownScientist 72

Answer:

(1 , -2) and r = 4

Step-by-step explanation:

x² + y² - 2x + 4y - 11 = 0

x² - 2x + 1 - 1 + y² + 4y + 4 - 4 - 11 = 0

(x - 1)² - 1 + (y + 2)² - 4 - 11 = 0

(x - 1)² + (y + 2)² = 16

We know equation of circle is of the form

(x - h)² + (y - k)² = r²

So, center is (1 , -2) and radius is 4

Answer:

D) 3 1/3 hours

Step-by-step explanation:

10÷3=3.3=3 1/3

Answer:

0.2379

lmk if im wrong :)

Approximately 0.2200 or 22.00% of the exam scores are between 82.2 and 85.6.

To find the proportion of exam scores between 82.2 and 85.6, we need to calculate the z-scores for both values and then use the standard normal distribution table (also known as the z-table) to find the proportion.

The z-score for a value x in a normal distribution with mean μ and standard deviation σ is given by the formula:

z = (x - μ) / σ

where x is the value, μ is the mean, and σ is the standard deviation.

Let's calculate the z-scores:

For x = 82.2:

z₁ = (82.2 - 80.2) / 4 = 2 / 4 = 0.5

For x = 85.6:

z₂ = (85.6 - 80.2) / 4 = 5.4 / 4 = 1.35

Now, we can find the proportion of scores between these z-scores using the z-table. The table gives us the cumulative probability up to a certain z-score.

From the z-table, the cumulative probability for z₁ = 0.5 is approximately 0.6915, and the cumulative probability for z₂ = 1.35 is approximately 0.9115.

Now, we can find the proportion of scores between these two z-scores:

Proportion = P(0.5 ≤ z ≤ 1.35)

= P(z ≤ 1.35) - P(z ≤ 0.5)

= 0.9115 - 0.6915

≈ 0.2200

So, approximately 0.2200 or 22.00% of the exam scores are between 82.2 and 85.6.

Learn more about z-scores click;

https://brainly.com/question/32011298

#SPJ3

Answer: Sorry, I had a different problem than you so this answer isn't correct for the OP but hopefully it shows you how to solve.

x=27/5

The scale factor is 7:3

Step-by-step explanation: