Find the measure of angle 1.

Find The Measure Of Angle 1.

Answers

Answer 1

9514 1404 393

Answer:

  (a)  84°

Step-by-step explanation:

If the upper side of angle 1 is extended so that it crosses the lower parallel, the angle it makes there corresponds to the one marked 51°, so is also 51°. That makes angle 1 the exterior angle of a triangle with remote interior angles of 51° and 33°. Angle 1 is the sum of those angles:

  ∠1 = 51° +33° = 84°

_____

Alternate solution

Draw a line through the vertex of angle 1 parallel to the other two parallel lines. The lower half of angle 1 is then an alternate interior angle to the one marked 33°, so is 33°. The upper half of angle 1 is a corresponding angle to the one marked 51°, so is 51°. That makes angle 1 be the sum of 33° and 51° angles, so 84°.


Related Questions

Factorise the following 12xy(9x^2-16y^2)÷4xy(3x+4y)

Answers

12x 9 = 108 x ^3 y
108x^3y - 192xy^3 / 12x ^2y + 16xy^2
108/12 =
9x ( y cancel out )
12y
9x + 12y
3( 3x + 4y)

Solve.... 4n- 9= 2 (5+ 2n)

Answers

Answer:

Step-by-step explanation:

Here you go mate

Use PEMDAS

Parenthesis,Exponent,Multiplication,Division,Addition,Subtraction

Step 1

4n-9=2(5+2n)  Equation/Question

Step 2

4n-9=2(5+2n)  Remove parenthesis

4n-9=4n+10

Step 3

4n-9=4n+10  Subtract 4n to sides

-9=10

Step 4

-9=10  Add 9

0=19

Answer

No solutions

Hope this helps

URGENT. Science+Algebra (MULTIPLE CHOICE)

Answers

Answer:

A and c I hope I helped :P

Step-by-step explanation:

Help me with this pls

Answers

Answer:

A. 3x+80+2x=180

Step-by-step explanation:

a straight line is 180 degrees

Dan earns 332 over the course of a five day week how much is that per day

Answers

Answer:

$66.40 a day

Step-by-step explanation:

divide 332 by 5

Answer:

2324

Step-by-step explanation:

Times 332 by 7

Read and analyze the problem below. Was the problem solved correctly? If
not, explain the error and answer it correctly in the box below.
Solve:
2x - 8+ 3x + 2 = 4x+10+ 3x - 6
Student Work:
2x - 8+ 3x + 2 = 4x+10+ 3x - 6
5x - 6 = 7x +16
- 5x -5x
-6 = 2x +16
-16 -16
-22 = 2x
2 2
-11= x

Answers

Answer:

no(double check my math!!)

Step-by-step explanation:

on the second step it should be 4 not 16 bc 10-6=4

2x-8+3x+2=4x+10+3x-6

5x-6=7x+4

-6=2x+4

-10=2x

-5=x

Give me an equivalent 14/20

Answers

0.7 there you go your welcome
Hope this helped
0.7 (decimal form) 70/100 (fraction form)

last week a certain brand of bottled water cost $1.25 for a 16 oz bottle this week the water is on sale for $1 for a 16-oz bottle what is the percent increase in the price of this bottled water

A. 16 percent
B. 20 percent
C. 13 percent
D. 25 percent​

Answers

Answer:

D

Step-by-step explanation:

Margot is sewing a ribbon on a seam along the perimeter of a square pillow. The side length of the pillow is 2x2+1 inches. She plans to make a similar pillow, including the ribbon, whose side length is 4x−7 inches. What expression can be used for the length of ribbon that she needs for both pillows, and what is the length if x = 3.5?

2x2+4x−6; 22.0 inches
2x2+4x−6; 32.5 inches
4(2x2+4x−6;) 88.0 inches
4(2x2+4x−6;) 130.0 inches

Answers

Answer:

4(2x2+4x−6;) 130.0 inches

Step-by-step explanation:

The expression that can be used for the total length of ribbon she needs for both square pillows and the length if x = 3.5 is:

D. 4(2x² + 4x - 6); 130.0 inches.

What is the Perimeter of a Square?

Perimeter of a square = 4(s).

s = side length of the square.

Perimeter of the first pillow = 4(s) = 4(2x² + 1) inches.

Perimeter of the similar pillow = 4(s) = 4(4x - 7) inches.

Expression for the total length of ribbon she will need for both square pillows is:

4(2x² + 1) + 4(4x - 7)

4(2x² + 1 + 4x - 7)

4(2x² + 4x - 6)

If x = 3.5, plug in the value of x into 4(2x² + 4x - 6) to find the total length of the ribbon she needs:

4(2(3.5)² + 4(3.5) - 6)

4(24.5 + 14 - 6)

130.0 inches.

Thus, the expression that can be used for the total length of ribbon she needs for both square pillows and the length if x = 3.5 is:

D. 4(2x² + 4x - 6); 130.0 inches.

Learn more about perimeter of square on:

https://brainly.com/question/25092270

James works in a sporting goods store and earns $324 a week and 5% of his sales. One week James earned $432. What were his sales that week?

Answers

Answer:

His sales that week were $2,160.

Step-by-step explanation:

First, you have to subtract $324 from the amount he earned that week, to find the 5% he got from sales:

$432-$324=$108

Now, you know that he received $108 that represent 5% of his sales and you can use a rule of three to find the amount that represents 100% which would be his sales that week:

 5%   →    108

100% →      x

x=(100*108)/5=2160

According to this, the answer is that his sales that week were $2,160.

Please help me with this homework

Answers

Answer:

7. A=48

8.B=30

9. C=188

10. D=18

11. X=32

12.Y=40

Step-by-step explanation:

Answer:

7. [tex]a=48[/tex]

8. [tex]b=30[/tex]

9. [tex]c = 188[/tex]

10. [tex]d = 18[/tex]

11. [tex]x = 32[/tex]

12. [tex]y = 40[/tex]

Step-by-step explanation:

Let's do something called cross-multiplication. It's exactly what it sounds like, we multiply the top number with the denominator across the multiplication.

[tex]\frac{33}{a} = \frac{11}{16}[/tex]

[tex]11 a = 33(16)[/tex]

[tex]11a = 528[/tex]

Now we can simplify.

[tex]a=48[/tex]

So we got the answer for the first one. We can keep doing the same thing for the others.

A plane rises from take off and flies at an angle 11° with the horizontal runway. When it has gained 750 feet find the distance to the nearest foot the plane has flown

Answers

Answer:

[tex]D=3930.632298 \approx 3930.6miles[/tex]

Step-by-step explanation:

From the question we are told that

Angle  [tex]\theta=11\textdegree[/tex]

Height of plane [tex]h =750feet[/tex]

Generally the equation for the total distance flown is mathematically given by

[tex]D=\frac{h}{sin\theta}[/tex]

[tex]D=\frac{750}{sin11}[/tex]

Therefore total distance flown is

[tex]D=3930.632298 \approx 3930.6miles[/tex]

1. What is the degree of the polynomial?
t3 + 5t2 – 3t + 2

Answers

I’m assuming that the first number is supposed to be raised by the power of 3. The degree of this polynomial would be 3 then if this is the case.

Answer:

degree 3

Step-by-step explanation:

The degree of a polynomial is determined by the largest exponent of the variable within the polynomial.

Given

t³ + 5t² - 3t + 2

The leading term t³ has exponent 3 , then

The polynomial is degree 3

Is this correct?????

Answers

Answer:

Yes

Step-by-step explanation:

For you to make money, you have to babysit for a few hours.

A drummer and a guitarist each wrote songs for their band. The guitarist wrote 5 fewer than three times the number of songs that the drummer wrote. They wrote a total of 35 songs. Which system of equations models this situation if the drummer wrote d songs and the guitarist wrote g songs? *

Answers

Answer:

Guitarist wtote 25 songs

Drummer wrote 10 songs

Step-by-step explanation:

G: number of guitarist songs

D: number of Drummer songs

We have:

G=3D - 5 (The guitarist wrote 5 fewer than three times the number of songs that the drummer wrote)

G+D=35 (They wrote a total of 35 songs)

That is the meaning of each equation.

Now we have to solve these system of equations:

G=3D-5

G+D=35

Using the substitution method:

(3D-5)+D=35

4D=35+5

4D+40

D=10

Thus: G=35-10

G=25

The perimeter of the rectangle below is 74 units. Find the length of side xy.
Write your answer without variables.
Y
3x + 3 x
XY =
Х
5
?
4x - 1
V
w
I Don't Know
Submit
on All Rights Reserved
Terms of Use Privacy

Answers

Bsnndnsndndnndndndndndndndn

What is the total number

Answers

Answer:

What is the total number

Step-by-step explanation:

Which function is linear?
Why?

x
Ecuación 1: y = 2

Ecuación 2: y = 2x - 5

Answers

Answer:

y = 2x - 5

Step-by-step explanation:

. A linear function has the following form. y = f(x) = a + bx.

4 packages of blueberries cost $9. How many packages of blueberries can you buy for $63?

Answers

Answer:

28

Step-by-step explanation:

Answer:

9 divided by 3= 6. You can buy 6 packages of blueberries for $9 dollars.

Step-by-step explanation:

Please help legitimate answers only or reported. BRAINLIEST

Answers

Answer:

9. a. 6

9. b. 2; 1

9. c. 3.14; 1.57

9. d. 7.57

10. 3106.86

Step-by-step explanation:

9.  a.  The rectangle has a length of 3 and a width of 2, so that means its area has to be 6.

9. b. The semi-circle's diameter is 2, because it is the same width as the rectangle, and finding the radius, means that you need to cut the diameter in half, so the radius of the circle is 1.

9. c. To find the full circle, we must use the formula (pi)(r)^2. So we have 3.14(1), which is just equal to pi. but since we need half the circle, we must divide the number by 2, to get the answer 1.57...

9. d. Finally we need to add up all the values together, from a. we know that the rectangle has an area of 6, and from b and c, we know the semi-circle has an area of 1.57, so we add those two numbers together we get 7.57.

10. We can do the exact same thing as number nine, which means the rectangle is 30*70=2100, The radius of the circle is 15 (30/2), the area of the circle (and since there are 2 semi circles, we don't need to divide by 2) we get 706.86, now all thats left is to add the numbers together to get the number 2806.86.

help

what is the least perfect squared number that is divisible divisible by

12

16

20

24



NOTE : the first one who answers gets branilast ​

Answers


The lowest perfect squared number that is divisible by 12,16,20,24 is 3600
1. Let's find the L.C.M
12 = 2×2×3
16 = 2×2×2×2
20 = 2×2×5
24 = 2×2×2×3
The L.C.M is 2×2×2×2×3×5 = 240
2. Now, the L.C.M 240 is not a perfect square.
3.Therefore to obtain a lowest perfect square the given number should be should have another 3 and 5 as the factor.
4. So, multiplying 240 by 15 we, get 3600 which is a perfect square and it can be divided by 12,16,20,24.
5. 3600 is the square of 60.
6.Therefore, the lowest perfect square that is divisible by 12,16,20,24 is 3600

SOMEONE HELP ME PLS W/ BOTH QUESTIONS. WILL MARK U BRAINLIEST

Answers

Hello!

The last one is no solution because the graphs do not intersect.

help me plzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

B

Step-by-step explanation:

also can i have brainly

Write 7/40 as a percent.​

Answers

Answer:

17.5%

Convert fraction (ratio) 7 / 40 Answer: 17.5%

Step-by-step explanation:

Brainliest?

the answer should be 17.5%

5. Colleen sold 14 belts for $210. What was her rate per belt?
pls answer

Answers

Answer: each belt is $15

Step-by-step explanation:

ANSWER:
15

EXPLANTION:
210/14 is 15

FUN FACT:
Before the 1920s, belts were generally used for decoration.

Hoped this help and have a awesome day :)

Please answer this question.

Answers

Answer:

the answer would be 1/60

Answer:

1/60

Step-by-step explanation:

5 feet = 5*12 = 60 inches

Scale factor of drawing

= 1/ 60

2 points
In the morning, the temperature in Westfield City was -2°F. By afternoon,
a north wind caused the temperature to drop another 8°F. What was the
afternoon temperature in Westfield City? To solve the problem, Martin
subtracted -2-(-8) and came up with an answer of 6°F. Is Martin correct?
Why or why not?

Answers

The afternoon temperature in Westfield City is -10°F.

Martin is not correct.

Calculating Temperature

From the question, we are to determine the afternoon temperature in Westfield City

From the given information,

"In the morning, the temperature in Westfield City was -2°F"

and

"By afternoon, a north wind caused the temperature to drop another 8°F"

Thus,

The afternoon temperature = -2°F - 8°F

The afternoon temperature = -10°F

Hence, the afternoon temperature in Westfield City is -10°F.

Martin is not correct.

Learn more on Calculating temperature here: https://brainly.com/question/24746268

#SPJ1

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 6, 4, 8/3... Find the 7th term.

Answers

Answer:

0.527

Step-by-step explanation:

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 6, 4, 8/3... Find the 7th term

The sequence given in the above Question is a geometric sequence.

The formula for the nth term of a geometric sequence is given as:

an = a × r ^n - 1

Where

a = First term

r = Common ratio

n = nth term

From the above question, we are asked to find the 7th term

Hence:

a = 6

Common ratio = Second term/first term

= 4/6 = 2/3

n = 7

The 7th term = 6 × (2/3 )^7 - 1

= 6 × (2/3)^6

= 6 × (2/3)⁶

= 0.5267489712

Approximately to the nearest thousandths the 7th term = 0.527

What is the empirical formula of a compound that is 15.65% Carbon, 2.16% Hydrogen, 18.26% Nitrogen, and 63.10% Oxygen?

Answers

Answer:

[tex]\mathbf{ CH_2NO_3}[/tex]

Step-by-step explanation:

Element %by         [tex](C)[/tex]                   [tex](H)[/tex]                      [tex](N)[/tex]              [tex](O)[/tex]

composition          15.56           2.16                      18.26               63.16

mole ratio  

[tex]\dfrac{\% \ by \ mass}{atomic \ number }[/tex]      [tex]\dfrac{15.56}{12}[/tex]            [tex]\dfrac{2.16}{1}[/tex]                     [tex]\dfrac{18.26}{14}[/tex]               [tex]\dfrac{63.16}{16}[/tex]

                             [tex]= 1.297[/tex]        [tex]2.16[/tex]                    [tex]1.304[/tex]                [tex]3.948[/tex]          

Divide by the

smallest value    [tex]= \dfrac{1.297}{1.297}[/tex]         [tex]= \dfrac{2.16 } {1.297}[/tex]              [tex]= \dfrac{1.304} {1.297}[/tex]          [tex]= \dfrac{3.948} {1.297}[/tex]

ratio                         [tex]1[/tex]          :        [tex]2[/tex]          :              1           :             3

The empirical formula is =  [tex]\mathbf{ CH_2NO_3}[/tex]

Please help me with this homework

Answers

7) a = 48
8) b = 30
9) c = 188
10) d = 18
11) x = 32
12) y = 40


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You Welcome :)
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