The diagram shows three straight lines work out the size of angles a, b and c.

The Diagram Shows Three Straight Lines Work Out The Size Of Angles A, B And C.

Answers

Answer 1

Answer:

a = 21°

b = 70°

c = 89°

Step-by-step explanation:

a = 21° as vertically opposite angles are equal

to work out b:

angles on a straight line add up to 180

b + 110 = 180

b = 180 - 110

b = 70°

to work out c:

the sum of angles in a triangle add up to 180

we have a and b

21 + 70 + c = 180

91 + c = 180

c = 180 - 91

c = 89°


Related Questions

Robert is purchasing shirts for his weekend soccer team. The shirts he wants to buy are normally $11 each but are on sale for $9 off. His team has a total of 9 players. How much will he spend to buy the shirts?

Answers

Answer:

He shall pay $18 to buy the shirts.

Step-by-step explanation:

each shirt cost after sale: $11 - $9 = $2

then 9 shirts for 9 players would cost: $2 * 9 = $18

For the shirts for his soccer squad, Robert will spend a total of $18 to buy the shirts for his soccer team.

Given that;

Robert is purchasing shirts for his weekend soccer team.

And, The shirts he wants to buy are normally $11 each but are on sale for $9 off.

The shirts are originally priced at $11 each, and they are on sale for $9 off.

Therefore, the discounted price per shirt is,

$11 - $9 = $2

Since Robert has a total of 9 players in his team, he needs to buy 9 shirts.

Hence, the total amount he will spend,

Total amount = Number of shirts × Discounted price per shirt

Total amount = 9 shirts × $2/shirt

Total amount = $18

Therefore, Robert will spend a total of $18 to buy the shirts for his soccer team.

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How much is 2 quarters, 3 dimes, 3 nickels, and 5 pennies

Answers

Quarter = 50
Dimes = 30
Nickels = 15
Pennies = 5

Add them all together
50 + 30 + 15 + 5 = $1
I’ve dollar

2 quarters, 3 dimes, 3 nickels, and 5 pennies equals

What are Measurements?

Measurement is the method of comparing the properties of a quantity or object using a standard quantity.

Measurement is essential to determine the quantity of any object

1 dollar = 4 quarters

1 dollar = 10 dimes

1 dollar = 20 nickels

1 dollar = 100 pennies

We have to calculate the total dollar measurement of 2 quarters, 3 dimes, 3 nickels, and 5 pennies.

4 quarters = 1 dollar

2 quarters = 2/4 dollars

                 = 0.5 dollars

10 dimes = 1 dollar

3 dimes = 3/10 dollar

              = 0.3 dollar

20 nickels = 1 dollar

3 nickels = 3/20 dollar

               = 0.15 dollar

100 pennies = 1 dollar

5 pennies = 5/100 dollar

                  = 0.05 dollar

Total currency value = 0.5 dollars + 0.3 dollar + 0.15 dollar + 0.05 dollar

                                   = 1 dollar

Hence the total worth of coins given is 1 dollar.

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SOMEONE HELP RIGHT NOW!! 50pts!!! NEED CORRECT ANSWER AND WORK/PROOF!!!

(SAT Prep) Find the value of x

Answers

Answer:

x=70°

Step-by-step explanation:

y=350° (angle inside triangle equal to 35°)

x=180-y-(180-105)

x=70°

Hope it helps!

Solution:

We can see that two lines are parallel, intersecting a line. We can also see a triangle formed with the lines.

=> x + (180 - 105) + 35 = 180 [The '35' came from Alternate inner angles]=> x + 75 + 35 = 180=> x + 110 = 180=> x = 180 - 110=> x = 70

The measure of x is 70°.

simplify (3x^2-y)^2. please

Answers

9x^4+y^2-6yx^2
Hope it helped

Did you hear about the newspaper editor?

Answers

Answer:

Yes, I've heard about the newspaper editor

Today is saturday what day will it 21 day later

Answers

It will be Saturday because 21 days later is three weeks. Every week, or seven days, it will be that day again.

Answer:

thise day is

Tuesday

February 17 2022

Saturday

The most likely sum that can occur when the two dice are rolled is
:: 4
:: 7
:: 10
:: 12

Answers

Answer:

7

Step-by-step explanation:

7 is the most common roll with two six-sided dice.


A chain weighs 12 pounds per foot. How many ounces will 4 inches weigh? Round your answer to the nearest tenth as needed.

Answers

Answer:

1 chain = 12 pounds

4 inches = x

4×12=49

= 50

How do I find the product of (10−11i) and its conjugate?

Answers

Step-by-step explanation:

Given - 10 - 11i

1st requirement - conjugate

Z = X + Yi

Change the sign between x & yi to find the conjugate of a complex

number.

Z = 10 + 11i

Now multiply the conjugate & the 1st complex number

=10-11i × 10+11i

= (10 × 10)+ (10× 11i)+ (-11i × 10) + (-11i × 11i)

Recall that i = √-1

= 100 + 110i - 110i + (-(-(11 × 11))...since √-1 × √-1 = -1.

= 100 + 121

= 221.

Write 53/800 as a terminating decimal.

Answers

Answer:

0.06625

Step-by-step explanation:

Answer:

0.06625

Step-by-step explanation:

Terminating Decimal: A decimal that has an end.

To convert 53/800 into a terminating decimal, we simply divide 53 by 800.

53 ÷ 8000.06625

Have a lovely rest of your day/night, and good luck with your assignments. ♡

El perímetro de un terreno rectangular mide 232 m si se sabe que el largo es 8m mayor que el ancho cuáles son sus dominaciones

Answers

Answer:

Largo = 62m

Ancho = 54m

Step-by-step explanation:

[tex]P=232m\\ b=(x+8)\\ h=x[/tex]

[tex]P=2(h+b)\\ P=2(x+(x+8))\\ P=2(2x+8)\\ P=4x+16[/tex]        →         [tex]4x+16=232\\ 4x=232-16\\ 4x=216\\ x=\frac{216}{4}[/tex]

[tex]b=54m[/tex]              [tex]x=54m[/tex]

[tex]b=x+8=(54)+8[/tex]

[tex]b=62m[/tex]

cassidy had 8 7/10 inches of string. she used 5 3/8 inches of string

Answers

Answer:

Cassidy has 4 in of string left.

Step-by-step explanation:

I hope it helps! Have a great day!

Lilac~

Answer:

Step-by-step explanation:

4 inches

Arrange the following measurements in order from smallest to largest. 0.7 liters 4.1 liters 2,000mil

Answers

0.7 Liters, then 2,000mil, Lastly, 4.1 Liters

Find the distance between these points. W(-6, -8), X(6, 8) 10 √8 20

Answers

Answer:

20 units.

Step-by-step explanation:

To find the distance between any two points, we can use the distance formula:

[tex]\displaystyle d_2 = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]

Let W(-6, -8) be (x₂, y₂) and X(6, 8) be (x₁, y₁).

Substitute and evaluate:

[tex]\displaystyle \begin{aligned}d & = \sqrt{(-8-8)^2 + (-6-6)^2} \\ \\ & = \sqrt{(-16)^2 + (-12)^2} \\ \\ & = \sqrt{400} \\ \\ & = 20 \end{aligned}[/tex]

Therefore, the distance between the two points is 20 units.

why me lol? - whats 1+1

Answers

Answer:2

Step-by-step explanation:So the tides connection so therefore the magnetically magnetic magnitude yeah

PLZZZZZZZZZZZ HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

Your first step is to figure out which variable you want to cancel out.

Luckily, all these problems have x or y already set up to eliminate.

You can find these variables because they are opposite signs of each other, such as -x and x

Add the y's together and the #'s on the other side together, then solve to find the 2nd variable. Once you find one, you can plug that answer into the easier of the two equations and solve for the other variable.

Suzie is going to run for 32 minutes. She can run 1 mile in 5 minutes and she cools off for 7
minutes. How many miles can she run in her time limit?

Answers

Answer:

She can run 3 miles in her time limit.

Step-by-step explanation:

Suzie is going to run for 32 minutes. She run 1 mile in 5 minutes and she cools off for 7 minutes

5+7=12 minutes

she runs 1 mile needs 12 minutes total

32÷12=2⋯8

8-5=3 minutes

2+1=3      3×1=3 miles

She can run 3 miles in her time limit.

{Distance=Time × speed}

What is the area of the figure? Enter your answer in the box. in²

Answers

Answer:

[tex]112in^{2}[/tex]

Step-by-step explanation:

to find the area of the square we multiply the base x height so 10x10 which equals 100in^2.

to find the area of the triangle we multiply the base x  height divided by 2 so to find the base 10-6 will give us the dotted line which equals 4. to find the height of the triangle we take 16-10 which equals 6. to find the area of the triangle we multiply 6x4/2 to make 12 in^2. to find the total area we add the triangle plus the square 100+12=112in^2

Mackenzie is about to ride a straight water slide. The length of the water slide itself is 15
meters. The splash pool at the end of the slide is 12 meters away from the base of the tower
that leads up to the launching platform. How high is the launching platform?
meters

Answers

Answer:

9

Step-by-step explanation:

Use Pythagoras’ theorem;

the hypotenuse is 15:

one side that isn't hypotenuse is 12:

[tex]a^2 +12^2=15^2\\= a=225-144\\a=81\\\sqrt{81}=9[/tex]

Manny walks a total of 0.75 mile to and from school each day. If there are 25 days in a month, how many miles has he walked in all?

Answers

Answer:

18.75

Step-by-step explanation:

Solve the equation:
12x^2 + 4x - 1

Answers

The answer is (2x + 1) x (6x - 1)

Write 4x as a difference
12x*2 + 6x - 2x - 1

Factor out 6x (divide what you can by 6x)
6x (2x + 1) - 2x - 1

Factor out the negative
6x (2x + 1) - (2x + 1)

Factor (2x + 1) from the expression

I hope this helps and please mark brainliest!

A half-ton pickup truck has a curb weight (weight empty but ready-to-drive) of 5/2 ton. If curb weight is evenly divided among four truck tires, how much weight is each tire bearing?

NO LINKS!!! ​

Answers

Answer:

0.625 tons or 5/8 tons

Step-by-step explanation:

(5/2)/4

0.625 tons or 5/8

Answer:

  5/8 ton

Step-by-step explanation:

1/4 of 5/2 ton is on each tire, so the weight it is bearing is ...

  (1/4)(5/2 ton) = 5/8 ton

Each tire is bearing 5/8 ton.

_____

Additional comment

If that is a US short ton (2000 lb), then the weight on each tire is 1250 pounds. If the tires are inflated to 50 pounds per square inch, then the area of rubber on the road at each tire is 1250 lb/(50 lb/in^2) = 25 in^2. That's the size of a 5-inch square.

What is the volume of this sphere?
Use a ~ 3.14 and round your answer to the nearest hundredth.
18 in

Answers

Answer:

3052. 08

Step-by-step explanation:

volume = 4/3πr^3

= 4/3π*(9)^3= 3052.08 in^3

What is the volume of this sphere?
Use a ~ 3.14 and round your answer to the nearest hundredth.
1 m

Answers

Answer:

volume of this sphere is 4.19 cm³

Explanation:

volume of sphere: [tex]\frac{4}{3}[/tex]πr³

Here the radius of the sphere is 1 meter.

Using the formula:

[tex]\frac{4}{3}[/tex] * 3.14 * 1³

4.19 cm³

Answer:

[tex]{\purple{\boxed{4.19}}}[/tex] cubic meters.

Step-by-step explanation:

DIAGRAM :

[tex]\setlength{\unitlength}{1.2cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\qbezier(-2.3,0)(0,-1)(2.3,0)\qbezier(-2.3,0)(0,1)(2.3,0)\thinlines\qbezier (0,0)(0,0)(0.2,0.3)\qbezier (0.3,0.4)(0.3,0.4)(0.5,0.7)\qbezier (0.6,0.8)(0.6,0.8)(0.8,1.1)\qbezier (0.9,1.2)(0.9,1.2)(1.1,1.5)\qbezier (1.2,1.6)(1.2,1.6)(1.38,1.9)\put(0.2,1){\bf{1\ m}}\end{picture}[/tex]

[tex]\begin{gathered}\end{gathered}[/tex]

SOLUTION :

Here's the required formula to find the volume of sphere :

[tex]\longrightarrow{\pmb{\sf{V_{(Sphere)} = \dfrac{4}{3} \pi {r}^{3}}}}[/tex]

V = Volumeπ = 3.14r = radius

Substituting all the given values in the formula to find the volume of sphere :

[tex]\longrightarrow{\sf{V_{(Sphere)} = \dfrac{4}{3} \pi {r}^{3}}}[/tex]

[tex]\longrightarrow{\sf{V_{(Sphere)} = \dfrac{4}{3} \times 3.14 \times {(1)}^{3}}}[/tex]

[tex]{\longrightarrow{\sf{V_{(Sphere)} = \dfrac{4}{3} \times 3.14 \times {(1 \times 1 \times 1)}}}}[/tex]

[tex]{\longrightarrow{\sf{V_{(Sphere)} = \dfrac{4}{3} \times 3.14 \times {(1 \times 1)}}}}[/tex]

[tex]{\longrightarrow{\sf{V_{(Sphere)} = \dfrac{4}{3} \times 3.14 \times {(1)}}}}[/tex]

[tex]{\longrightarrow{\sf{V_{(Sphere)} = \dfrac{4}{3} \times 3.14 \times 1}}}[/tex]

[tex]{\longrightarrow{\sf{V_{(Sphere)} = \dfrac{4}{3} \times 3.14}}}[/tex]

[tex]{\longrightarrow{\sf{V_{(Sphere)} = \dfrac{12.56}{3}}}}[/tex]

[tex]{\longrightarrow{\sf{V_{(Sphere)} \approx 4.19}}}[/tex]

[tex]\star{\underline{\boxed{\sf{\red{V_{(Sphere)} \approx 4.19 \: {m}^{3}}}}}}[/tex]

Hence, the volume of sphere is 4.19 m³.

[tex]\begin{gathered}\end{gathered}[/tex]

LEARN MORE :

[tex]\begin{array}{|c|c|c|}\cline{1-3}\bf Shape&\bf Volume\ formula&\bf Surface\ area formula\\\cline{1-3}\sf Cube&\tt l^3}&\tt 6l^2\\\cline{1-3}\sf Cuboid&\tt lbh&\tt 2(lb+bh+lh)\\\cline{1-3}\sf Cylinder&\tt {\pi}r^2h&\tt 2\pi{r}(r+h)\\\cline{1-3}\sf Hollow\ cylinder&\tt \pi{h}(R^2-r^2)&\tt 2\pi{rh}+2\pi{Rh}+2\pi(R^2-r^2)\\\cline{1-3}\sf Cone&\tt 1/3\ \pi{r^2}h&\tt \pi{r}(r+s)\\\cline{1-3}\sf Sphere&\tt 4/3\ \pi{r}^3&\tt 4\pi{r}^2\\\cline{1-3}\sf Hemisphere&\tt 2/3\ \pi{r^3}&\tt 3\pi{r}^2\\\cline{1-3}\end{array}[/tex]

[tex]\rule{300}{2.5}[/tex]

Incorrect
Question 5
0/1 pt
Perimeter of PQRS = 228. Solve for x and PS.
S
4x + 1
R
>
2x - 3
р
T 4
Q
X= 58/3
PS = 107/3

Answers

Answer:

x = 56/3

PS = 103/3

Step-by-step explanation:

Perimeter:  (4x + 1) + 2(2x - 3) + (4 + 4 + 4x + 1) = 228

Collect and combine like terms:  12x + 4 = 228

Subtract 4 from both sides:  12x = 224

Divide both sides by 12:  x = 56/3

PS = (2 x 56/3) - 3 = 103/3

Dividends for common stock must be in cash

Answers

Answer:

Legally, corporations must have a credit balance in Retained Earnings in order to declare a dividend. Practically, a corporation must also have a cash balance large enough to pay the dividend and still meet upcoming needs, such as asset growth and payments on existing liabilities.


need math help asap!

Answers

Answer:

B. 9

Step-by-step explanation:

According to intersecting secants theorem we have:

3*(x + 3) = 4*(4 + 5)3(x + 3) = 36x + 3 = 12x = 9

Correct choice is B

Answer:

the only thing that cause I understand that cause disinfect your day going so far today at saka embroidery hoop earrings for the day and shading

Which expression is equivalent to 3m + 2m + m?

Answers

Answer:

6m

Step-by-step explanation:

Combining like terms, we have

3m + 2m + m = (3 + 2 + 1)m = 6m.

Find HCF 2x^5-4x^4-6x and x^5+x^4-3x^3-3x^2

Answers

Answer:

HCF = [tex](x + 1)[/tex]

Step-by-step explanation:

A common factor is a factor that is shared by two or more numbers (or, in this case, polynomials). The highest common factor (HCF) is found by finding all common factors of the two expressions and selecting the largest one.

Find HCF of [tex]2x^5-4x^4-6x \ \ \textsf{and} \ \ x^5+x^4-3x^3-3x^2[/tex]

Factor [tex]2x^5-4x^4-6x[/tex]

Factor out common term:  [tex]2x(x^4-2x^3-3)[/tex]

Factor [tex]x^4-2x^3-3[/tex]:  [tex]2x(x+1)(x^3-3x^2+3x-3)[/tex]

Factor [tex]x^5+x^4-3x^3-3x^2[/tex]

Factor out common term:  [tex]x^2(x^3+x^2-3x-3)[/tex]

Factor [tex]x^3+x^2-3x-3[/tex]:  [tex]x^2(x+1)(x+\sqrt{3} )(x-\sqrt{3} )[/tex]

Therefore, from inspection the HCF = [tex](x + 1)[/tex]

I need to determine the figure is a parallelogram using the slope formula

Answers

Answer:

KL // MN & KN // LM

Step-by-step explanation:

One property of parallelogram is every two opposite sides are parallel to each other and if a two lines (sides) are parallel so they must have the same slope.

In the parallelogram KLMN:

using the slope formula = y2-y1/x2-x1

plug the numbers: KL // MN & KN // LM so KLMN is a parallelogram

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