Determine the measure of angles 1, 2 and 3.
Measure of 211
Measure of 22
O
Measure of 23
22°
479
1
262
3

Determine The Measure Of Angles 1, 2 And 3.Measure Of 211Measure Of 22OMeasure Of 232247912623

Answers

Answer 1

Answer:

1) 40

2) 118

3) 71

Step-by-step explanation:

3) is the easiest. All interior angles add to 180

Angle 3 = 180 - 62 - 47

Angle 3 = 71

2) Angle 2 is on the same straight line as 62 and together they equal 180

Angle 2  = 180 - 62

Angle 2 = 118

1) Using 22, Angle 2 and the knowledge that all interior angles equal 180

180 - 22 - 118 = Angle 1

40 = Angle 1


Related Questions

In how many year the interest will became equal to the principal is rs.1200 is deposited at the rate of 25% in a bank ​

Answers

Given:

Principal = Rs. 1200

Rate of interest = 25%

To find:

The time in which the interest will became equal to the principal.

Solution:

We have,

[tex]P=1200[/tex]

[tex]r=\dfrac{25}{100}[/tex]

[tex]r=0.25[/tex]

If interest is equal to the principal, then

[tex]Amount=Principal+Interest[/tex]

[tex]Amount=1200+1200[/tex]

[tex]Amount=2400[/tex]

The formula for amount is:

[tex]A=P\left(1+r)^n[/tex]

Substituting [tex]A=2400, P=1200, r=0.25[/tex] in the above formula, we get

[tex]2400=1200(1+0.25)^n[/tex]

[tex]\dfrac{2400}{1200}=(1.25)^n[/tex]

[tex]2=(1.25)^n[/tex]

Taking log on both sides, we get

[tex]\log2=\log(1.25)^n[/tex]

[tex]\log2=n\log(1.25)[/tex]               [tex][\because \log a^b=b\log a][/tex]

[tex]\dfrac{\log2}{\log(1.25)}=n[/tex]

[tex]n\approx 3.11[/tex]

Therefore, the interest will became equal to the principal in about 3.11 years.

Find the volume of the cylinder round your answer to the nearest tenth.​

Answers

Answer:

V = 17362.9 ft^3  using 3.14 for the approximation

17371.8 ft^3 using the pi button

Step-by-step explanation:

V = pi r^2 h  where r is the radius and h is the height

V = pi (12)^2 ( 38.4)

V =pi ( 144) 38.4

5529.6pi

Letting  pi be 3.14

V = 5529.6 (3.14)

V =17362.944 ft^3

Rounding to the nearest tenth

V = 17362.9 ft^3

Letting pi = pi button

V =17371.75074 or to the nearest tenth 17371.8 ft^3

If c is the number of cats, which variable expression represents the phrase
below?
The sum of the number of cats and 15 dogs
A. c•15
B. C+15
C. C-15
D.C/15

Answers

B C+15 because Sum means adding
It’s B I had the same question and got it right

Using the triangle diagram below in the rules for special right triangles, discover the four missing links and choose them from the available choices:

Answers

Answer:

The solution for the system of right triangles are, respectively: [tex]a = 2\sqrt{6}[/tex], [tex]b = 4\sqrt{3}[/tex], [tex]c = 4\sqrt{6}[/tex], [tex]d = 6\sqrt{2}[/tex]

Step-by-step explanation:

By Geometry, we get the following equivalencies:

[tex]a = 2\sqrt{6}[/tex] (45 - 45 - 90 Theorem)

[tex]b = \sqrt{2}\cdot (2\sqrt{6})[/tex] (45 - 45 - 90 Theorem)

[tex]b = 4\sqrt{3}[/tex]

[tex]c = \frac{2\sqrt{6}}{\frac{1}{2} }[/tex] (30 - 60 - 90 Theorem)

[tex]c = 4\sqrt{6}[/tex]

[tex]d = \frac{2\sqrt{6}}{\frac{\sqrt{3}}{3} }[/tex] (30 - 60 - 90 Theorem)

[tex]d = 6\sqrt{2}[/tex]

Figure ABCD was reflected across the x-axis to create figure A'B'C'D'.

On a coordinate plane, a quadrilateral has points A prime (2, negative 2), B prime (negative 8, 2), C prime (2, 6), and D prime (8, 2).
What are the coordinates of the pre-image of B'?

(2, –8)
(–8, –2)
(–2, 8)
(8, 2)

Answers

Answer:

(-8 , -2)

Step-by-step explanation:

the coordinates of B’ are (-8 , 2)

then

Since B also is the image of B’ through the reflection across the x-axis

then the coordinates of B are (-8 , -2)

Answer:

(-8, -2)

Step-by-step explanation:

HELP NEEDED!! Find the sine of W

Answers

Answer:

[tex]\frac{\sqrt{47}}{10}[/tex]

Step-by-step explanation:

First you find the missing side using the Pythagorean theorem of [tex]a^{2} +b^{2} =c^{2}[/tex].

Which is [tex](\sqrt{53})^{2} + b^{2} = 10^{2}[/tex].

do the squares to make it 53 + [tex]b^{2}[/tex] = 100 and solve for b.

[tex]b^{2} = 100-53\\b^{2} = 47\\b= \sqrt{47}[/tex]

Sine of an angle is Opposite over Hypotenuse to get

[tex]\frac{\sqrt{47} }{10}[/tex]

find the radius of a circle having area 2464cm²​

Answers

28cm^2 is the answer to this

[tex]{ \bf{ \underbrace{Given :}}}[/tex]

Area of the circle = 2464 cm².

[tex]{ \bf{ \underbrace{To\:find:}}}[/tex]

The radius of the circle.

[tex]{ \bf{ \underbrace{Solution :}}}[/tex]

[tex]\sf\orange{The\:radius \:of\:the\:circle\:is\:28\:cm.}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

Let "[tex]r[/tex]" be the radius of the circle.

We know that,

[tex]\sf\purple{Area\:of\:a\:circle \:=\:πr²}[/tex]

[tex]⇢ 2464 \: {cm}^{2} = \frac{22}{7} \times {r}^{2} \\\\ ⇢  {r}^{2} = 2464 \: {cm}^{2} \times \frac{7}{22} \\ \\⇢  {r}^{2} = \frac{17248}{22} \: {cm}^{2}\\ \\⇢  {r}^{2} = 784 \: {cm}^{2} \\ \\⇢ r = \sqrt{784 \: {cm}^{2} } \\ \\⇢ r = \sqrt{28 \times 28 \: {cm}^{2} } \\ \\⇢ r = 28 \: cm[/tex]

[tex]\boxed{Therefore,\:the\:radius \:"r"\:of\:the\:circle\:is\:28\:cm.}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\blue{Happy\:learning }}{\blue{!}}}}}[/tex]

find the first 5 terms in 3n^2/2

Answers

Here is the answer .......

Find the slope of the line that contains the points named. G(3, -2), H(7, -2)

A. 0
B. -1
C. Undefined

Answers

A. 0

Answer:

Solution given

(x1,y1)=G(3, -2),

(x2,y2)=H(7, -2)

now

slope=(y2-y1)/(x2-x1)=(-2+2)/(7-3)=0/4=0

Answer:

0

Step-by-step explanation:

To find the slope

m= ( y2-y1)/(x2-x1)

 = ( -2 - -2)/ ( 7-3)

   = (-2+2)/(7-3)

   = 0/4

Math help please I need it ASAP

Answers

Answer:

x=10.5

Step-by-step explanation:

[tex]\frac{x}{6} =\frac{7}{4} \\x=\frac{7}{4} \times 6\\=\frac{21}{2} \\=10.5[/tex]

Helpppppp!!’nnnnnnn.

Answers

The answer is 29.25

Answer:

35.75

Step-by-step explanation:

times 65 by 55%

hey what's the answer
Liliflim pls answer this if u know !
pls with full explanation ​

Answers

Answer:

I hope the above attachment helps you mate

Have a great day

[tex]#Liliflim[/tex]

Answer:

Solution given;

a⁴-23a²b²+b⁴

making in the form of a²+2ab+b²

a⁴+2a²b²+b⁴-2a²b²-23a²b²

(a²+b²)²-(5ab)²

factoring by using formula

x²-y²=(x+y)(x-y)

(a²+5ab+b²)(a²-5ab+b²)

The table shows the number y calories burned in x minutes.
Find the missing y-value that makes the table represent a
linear function.
50
100 150
Input, x 0
Output,
O
у
24
36
У

Answers

Answer:

12

Step-by-step explanation:

The equation

2x(50) = 24

x(50) = 12

Answer:

y = 12

Step-by-step explanation:

36 - 24 = 12.

24 calories were burned in 100 minutes. 36 calories were burned in 150 minutes. That means that in 50 minutes (150 - 100) 12 calories were burned.

If chicken wire comes in rolls that are 48 inches long, determine the smallest amount of rolls that will be needed to fence the garden

Answers

Answer:

No solution is possible from the information provided.

Step-by-step explanation:

A roof is supported o 7 rafter each 6 1/2 feet long at 70 cents running foot how much did those rafters cost

Answers

Answer:

$31.85

Step-by-step explanation:

total cost of the rafters  = total length of rafters used x cost per foot

total length of rafters used = number of rafters used x length of rafters

7 x [tex]6\frac{1}{2}[/tex]

to solve, convert [tex]6\frac{1}{2}[/tex] to an improper fraction

to convert to improper fraction, take the following steps :  

1. Multiply the whole number  by the denominator

2. Add the numerator to the answer gotten in the previous step

3. divide the number gotten in the previous step by the denominator  

7 x [tex]\frac{13}{2}[/tex] = [tex]\frac{91}{2}[/tex]

cost per foot = 70 cents

100 cents = 1 dollar

70 cents = $0.70

total cost of rafters = $0.70 x [tex]\frac{91}{2}[/tex] = $31.85

A. 0.1
B. 0.5
C. 2
D. 5

Answers

Answer:

5 I think

Step-by-step explanation:

Well, 0.1 and 0.5 goes in anything so I doubt that's it, 2 goes in 10 but not 5, actually. I think if it's division than 2. Not 1,000 percent sure tho

Answer:

0.5

Step-by-step explanation:

So we know the orginal is 10 in size.

The new is 5 in size.

We can think of this as 10 : 5

To find the exact scale, we can divide both by the GCF.

The GCF is the greatest common factor between two numbers.

In this case, the GCF would be 5, now lets divide:

10/5 : 5/5

=

2 : 1

So we can see the ratio is 2 to 1.

Now, the scale is not 2.

The new ratio is 2 : 1, but 2 is the orginal. 1 is the scaled value.

To find the scale, you must divide the new scaled value by the orginal value:

1 / 2

=

1/2

So this is your scale factor.

There is actually another way to do this as well, which is quicker.

Take the new value, 5, and divide it by the orginal value, 10:

5/10

=

1/2

Either way, you get 1/2 as your answer.

Hope this helps!

What is the value of the following expression? 5.5(k+7), when k= -7

Answers

Answer:

0

Step-by-step explanation:

5.5(-7+7)

5.5(0)

0

Answer:

0

Step-by-step explanation:

putting k = -7

=> 5.5. ( -7 × 7)

=> 5.5 × 0

=> 0

since any number we multiplied by zero is zero

1. Relaciona cada situación con los conceptos básicos de la geometría. Explica tu respuesta. a. Una estrella en el cielo. b. Un rayo de luz. c. La superficie del agua en un lago. 2. Escriba falso o verdadero, según corresponda; luego represente gráficamente para justificar su respuesta. a. Dados dos puntos distintos, hay exactamente una recta que los contiene. b. Dos rectas que se intersectan determinan un plano. c. Tres puntos diferentes no colineales determinan un plano.

Answers

Answer:

Una estrella en el cielo está relacionada con un punto de geometría básica.

Un punto es un objeto matemático que tiene una dimensión 0, pero que se puede especificar en un espacio de n dimensiones, utilizando coordenadas 'n'

Una estrella se puede ubicar usando un sistema de coordenadas, y las dimensiones de la estrella no se pueden estimar fácilmente a partir de su apariencia.

B. Un rayo de luz está relacionado con un rayo en geometría básica.

Un rayo en geometría básica, tiene un punto de inicio definido, pero no tiene fin, por lo tanto, un rayo de luz está relacionado con un rayo en geometría básica

C. La superficie del agua en el lago está relacionada con un plano en geometría básica.

La superficie del agua es una superficie coplanar, de manera que las cuatro esquinas y otros puntos existen en el mismo plano (la superficie del agua), lo que equivale al plano, que también tiene 3 o más puntos en el mismo nivel.

2. a. Cierto

Por favor el dibujo adjunto

DD DD

B. Cierto

Por favor el dibujo adjunto

DD SS DD SS

C. Cierto

Por favor el dibujo adjunto

DD SS DD SS

Step-by-step explanation:

AB=? Round your answer to the nearest hundredth

Answers

sin 20’ = 3 / AB
AB x sin 20 = 3
AB = 3 / sin 20
= 8.77 (2 dp)

A. The vertical scale is too high.
B. The vertical scale should not start at zero.
C. The bars are not the same width.
D. The bars are not the same height.

Answers

C. The bars are not the same width

The price of a cell phone is 500$ Kathleen pays 8% sales tax on the price of the cell phone. How much sales tax does she pay?

Answers

Answer:

8%/100×500=$40

Kathleen pays $40 sales tax

if f (x) = x2 + 3x + 4 and g(x) = 5x + 7, for what values of x does f (x) = g(x)​

Answers

Answer:

3, -1

Step-by-step explanation:

just set f(x) = g(x)

x^2 + 3x + 4 = 5x + 7

combine like terms

x^2 - 2x - 3 = 0

factor

(x-3)(x+1)=0

x = 3, x = -1

so, f(x) = g(x) when x = 3 or -1

Find the length of the arc. Leave the answer in terms of π

Answers

Data not presented, please attach diagram.

Please I need help with this!!!!!!

Answers

Answer:

Step-by-step explanation:

1) Step 4: Marc has converted radical form to exponent form

Step 5: He has evaluated the value of the radical

3)

[tex]x = \sqrt[3]{8}[/tex]

Here, 3 is index and 8 is radicand.

Prime factorize 8 and for every 3 numbers we can take one number outside the radical

Solution:

[tex]x = \sqrt[3]{2*2*2}\\\\x = 2[/tex]

4) No,my equation does not have an extraneous solution.

My solution, satisfies the equation

What is the number of solutions of 4x2 + 12x + 9 = 0?
Α. 1
B. 2
C. 0
D.
no real solution

Answers

Answer:

A

Step-by-step explanation:

2.1 Factoring 4x2+12x+9 The first term is, 4x2 its coefficient is 4 . The middle term is, +12x its coefficient is 12 . The last term, "the constant", is +9 Step-1 : Multiply the coefficient of the first term by the constant 4 • 9 = 36 Step-2 : Find two factors of 36 whose sum equals the coefficient of the middle term, which is 12 .

which graph is the graph of f(x)= (x - 1)/(x + 2) ?

Answers

Answer:

going clockwise from upper left the correct graph is the 2nd one

Step-by-step explanation:

asymptote at -2

Edgar is learning to make handmade corn tortillas from his grandmother in preparation for a family gathering. His
grandmother explains to Edgar that to make
delicious corn tortillas, he needs to add 2 cups of masa, or corn flour, for every
1.5 cups of hot water, which will make 15 tortillas. If Edgar uses the same relationship of masa to cups of water and needs to
make 90 tortillas for the gathering, how many cups of masa and water does he need?

Answers

To make 90 tortillas, he needs to make 6 batches. 6*15=90
2 cups masa per batch ->. 2 * 6=12 cups Masa
1.5 water per batch -> 1.5. * 6= 9 cups water

Edgar needs 12 cups of masa and 9 cups of water to make 90 tortillas.

What is division?

A method of dividing something into equal parts is called division.

How to solve this problem?

Given that 2 cups of masa and 1.5 cups of water are needed for 15 tortillas.

Edgar wants to make 90 tortillas.

We can think Edgar wants to make 90/15 = 6 bunches of 15 tortillas.

1 bunch of 15 tortillas needs 2 cups of masa.

So, 6 bunches of 15 tortillas need 6 * 2 = 12 cups of masa.

Again 1 bunch of 15 tortillas needs 1.5 cups of water.

So, 6 bunches of 15 tortillas need 6 * 1.5 = 9 cups of water.

Therefore, Edgar needs 12 cups of masa and 9 cups of water to make 90 tortillas.

Learn more about division here -

https://brainly.com/question/13706292

#SPJ2

Round to the nearest tenths place30.06858282

Answers

Answer:

30.1

Step-by-step explanation:

Have a great summer :)

30.1 because i said so and it is right

Can someone help me?It's urgent and thank you!

Answers

Answer:

5 is added to the product of 4 and 3

E(-2,-1) and F(-2,-5) what is the distance in each pair of points

Answers

Answer:

6 units

Step-by-step explanation:

E(-2 , -1) = (x1 , y1)

F(-2 , -5) = (x2 , y2)

distance = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]

=[tex]\sqrt{(-2 - (-2))^2 + (-5 - (-1))^2}[/tex]

=[tex]\sqrt{(-2 + 2)^2 + (-5 + 1)^2[/tex]

=[tex]\sqrt{0^2 + 6^2}[/tex]

=[tex]\sqrt{36}[/tex]

= 6 units

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