The sum of interior angles of a triangle are: 78°,39° and a°. Find the value of a° a. 117° b. 102° c. 93° d. 63° e. Other:

Answers

Answer 1

Answer:

d. 63

Step-by-step explanation:

sum of 3 interior angles= 180°

78°+39°+a=180°

a= 180°- 117°

a= 63°

Answer 2

Answer:

D. 63°

Step-by-step explanation:

The Triangle Sum Theorem says that all of the angles in a triangle add up to 180°.

78° + 39° = 117°. Think of it like algebra. 180° - 117° = 63°. I hope this helps :)


Related Questions


IF (-6, 4) is the endpoint of a line segment, and (-2, -1) is its midpoint, find the other endpoint.
A) (2,-6)
B) (-14, 14)
9 (-16, 12)
D) (2,9)

Answers

A midpoint has coordinates of [tex](-2, -1)[/tex] we will call them [tex](x_m, y_m)[/tex].

The coordinates of a midpoint are constructed from coordinates of enpoints [tex](x_1,y_1),(x_2,y_2)[/tex], namely as a divided sum.

[tex]

x_m=\frac{x_1+x_2}{2}\implies x_1=2x_m-x_2 \\

y_m=\frac{y_1+y_2}{2}\implies y_1=2y_m-y_2

[/tex]

Now insert the numbers.

[tex]

x_1=2(-2)-(-6)=2 \\

y_1=2(-1)-4=-6

[/tex]

The result is an endpoint at [tex](2,-6)[/tex].

please I really need help​

Answers

Answer:

-8

Step-by-step explanation:

m∠3 + m∠5 = 180 (interior angles are supplementary)

-4x + 5 + (-13x + 39) = 180

-4x + 5 -13x +39 = 180

-17x = 180 - 5 - 39

-17x = 136

x = 136/(-17) = -8

the transformation shown is a rotation

true or false​

Answers

Answer:

True

Step-by-step explanation:

Jernel has to figure out the area of her square garage. she knows that one side of the garage is equal to the length of her rabbit pen. the dimensions of the rectangular rabbit pen are 14 by 10. what is the area of the garage?

Answers

Answer: 196

Step-by-step explanation:

Just answered this...

14x14=196

Help please !!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

∠J and ∠K form a linear pair.

Step-by-step explanation:

If angles J and K are supplementary and adjacent, then they form what is known as a linear pair.

"Definition: Two angles that are adjacent (share a leg) and supplementary (add up to 180°)" -mathopenref

Which equation represents the line that passes through (-8.11) and
(4,7/2)?​

Answers

Answer:

[tex]y=-5/8x+6[/tex]

Step-by-step explanation:

[tex]m=\frac{7/2 - 11}{4--8}[/tex]

[tex]m=\frac{-15/2}{12}[/tex]

[tex]m=-5/8[/tex]

[tex]y=-5/8x+b[/tex]

[tex](-8,11)[/tex]

[tex]11=-5/8 \times -8+b[/tex]

[tex]b=11-(-5/8)(-8)[/tex]

[tex]b=6[/tex]

El que responda bien 5 estrellas y un gracias 7u7

Answers

Answer: AB=12

Los triangulos BCD y ADE son iguales por tener dos lados y el angulo comprendido respectivamente iguales. por tanto AE=DC=4

Luego AB = AE+EB = 4+8 = 12

Pleas help !!!
Choices
X= -1
Y = -1
X = 1
Y= 1

Answers

Answer:

x=-1

Step-by-step explanation:

The axis of symmetry is along the vertex

The vertex is at (-1,-2)

The x coordinate is -1

x=-1

attachment need help asap

Answers

Answer:

c because the x value is equal to the y value

Step-by-step explanation:

Answer:

x=y

Step-by-step explanation:

They are both opposite each other.

Parallel to each other

Um homem estava indo para a Bahia com suas sete irmãs. Cada irmã carregava sete caixas, cada caixa tinha sete gatos,cada gato estava com sete filhotes. Quantos estavam indo para a Bahia?

Answers

Answer:

2,752

Step-by-step explanation:

English Translation

A man was going to Bahia with his seven sisters. Each sister carried seven boxes, each box had seven cats, each cat had seven puppies. How many were going to Bahia?

Solution

1 man was going to Bahia

With his 7 sisters.

Total nunber of humans = 1 + 7 = 8 humans

Each of the 7 sisters carried 7 boxes.

Each of the 49 boxes had 7 cats

Total number of cats = 7 × 7 × 7 = 343 cats

Each of the 343 cats had 7 puppies

Total number of puppies = 7 × 343 = 2401 puppies.

Total number of living things going to Bahia

8 humans + 343 cats + 2401 puppies

= 2,752

Hope this Helps!!!

A beverage manufacturer performs a taste-test and discovers that people like their fizzy beverages best when the redius of the bubbles is about 0.7 mm. According to the formula below, what would be the volume of one of these bubbles?

Answers

Answer:

0.267[tex]mm^3[/tex]

Step-by-step explanation:

Radius of the Bubble = 0.7 mm

Volume of the bubble is given by the formula :

[tex]r=\sqrt[3]{\frac{3V}{4\pi } }[/tex]

Taking cube on both sides

[tex]V=\frac{4\pi\times r^3 }{3}\\\\ V=\frac{4\times3.14\times(0.7)^3}{3}\\\\V=\frac{12.56\times 0.064}{3}\\\\ V=\frac{0.804}{3}\\\\V=0.267mm^3[/tex]


a) The ratio 20 minutes to 1 hour can be written in the form 1:n.
Find the value of n.
n =

Answers

Answer:

n =3

Step-by-step explanation:

20 minutes to 1 hour can also be written as 20 minutes to 60 minutes.

when simplified, you get 1:3

Answer:

1:30

Step-by-step explanation:

minutes : hour
20           : 1
convert the hour into minutes
1 hr = 60 minds

20            : 60
it was simplified so that 20 = 1
so they did 20 divided by 20 to get it to equal to 1
1                 : _____
u need to equalise it and do the same to the other side so 60 divided by 20 as well ( this equals 30)
now the ratio is:
1                 : 30

Please answer correctly !!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!

Answers

Answer:

$12 million

Step-by-step explanation:

Vertex form of a quadratic equation:

y=a(x-h)^2+k

where (h,k) is the vertex.

The vertex is (5,12), and it is a maximum since a is negative.

Therefore, the maximum value is $12 million.

Using the slope and the yintercept, graph the line represented by the following equation. Then select the correct graph. 2y+4=0

Answers

slope is 0 and the y intercept is -2

A rectangular prism has a length of 4 cm, a width of 6 cm, and a height of 3 cm. what is it’s volume

Answers

Answer:

72 cm³

Step-by-step explanation:

The formula for the volume of a rectangular prism is:

V = lwh

where l is the length, w is the width, and h is the height

Let's substitute the given values into this formula:

V = lwh

V = (4)(6)(3)

Solve:

V = (4)(6)(3)

V = (24)(3)

V = 72

Therefore, the volume is 72 cubic centimeters.

Answer:

The answer is 72 cm3

Step-by-step explanation:

4 times 6 times 3

24 times 3

72

;))))))

Which value of f 3f+5=32 a true statement
Choose 1 answer


A
f=6


B
f=8

C
f=9


D
f=12

Answers

Answer:

C. f = 9

Step-by-step explanation:

→Subtract 5 from both sides:

3f + 5 = 32

    - 5    - 5

_________

3f = 27

→Divide both sides by 3:

f = 9

Answer:

C f=9

Step-by-step explanation:

Trust me, I  got the answer right.

Un cazador se encuentra en la parte mas alta de un arbol. Para averiguar a que altura se encuentra, deja caer una bola, observando que demora 4 segundos. Encuentra el alto del arbol (g=10m/s2)

Answers

Answer:

80 m

Step-by-step explanation:

La velocidad inicial de la pelota es 0 m/s.

La altura del árbol es s.

El tiempo necesario es de 4 segundos.

Podemos aplicar una de las ecuaciones de movimiento de Newton:

[tex]s = ut + \frac{1}{2}gt^2[/tex]

donde u = velocidad inicial

t = tiempo empleado

g = aceleración debido a la gravedad

Por lo tanto:

[tex]s = 0 * 4 + (1/2 * 10 * 4^2)\\\\s = 0 + 80 \\\\s = 80 m[/tex]

El árbol tiene 80 metros de altura.

Write the equation in standard form: 3x + 1 = 2y

3x + 2y = 1

3x + 2y = –1

3x – 2y = –1

3x – 2y = 1

Answers

Answer:

3x+2y=-1

Step-by-step explanation:

moving the numbers around, the outcome will have to be different

// have a great day //

Answer:

c) 3x - 2y = -1

Step-by-step explanation:

Given equation,

→ 3x + 1 = 2y

Conversion into standard form,

→ 3x + 1 = 2y

→ 3x + 1 - 2y = 0

→ 3x - 2y = -1

Hence, option (c) is correct.

Kelsey received 9 birthday gifts from her friends. Three gifts were wrapped in yellow
paper, 3 gifts were wrapped in red paper, 2 gifts were wrapped in purple paper, and
1 gift was wrapped in orange paper. What is the probability that the first gift Kelsey
opened was wrapped in purple paper?

Answers

Answer: 2/9

Step-by-step explanation:

From the question, we are told that

Kelsey received 9 birthday gifts from her friends and that three of the gifts were wrapped in yellow

paper. Also, 3 gifts were wrapped in red paper, 2 gifts were wrapped in purple paper, while the remaining

1 gift was wrapped in orange paper.

The probability that the first gift will be in purple paper will be the number of gifts in purple paper divided by the total number of gifts. This will be:

= 2/9

I will mark you brainliest!!! Identify the exponential function shown in the graph.

Answers

Answer:

Letter B.

Step-by-step explanation:

Look for where the line corsses the Y axis. that will tell you the most about this line and it corsses at 8 so that can be the only one correct.

L+S = 17 3L + 2S=46
Please show your work

Answers

Answer:

S= 5, L= 12

Step-by-step explanation:

To find the value of L and S, we need to first label the 2 equations.

L +S= 17 -----(1)

3L +2S= 46 -----(2)

From (1):

L= 17 -S -----(3) (-S on both sides)

Subst. (3) into (2):

3(17-S) +2S= 46

3(17) -3S +2S= 46 (expand)

51 -S= 46

-S= 46 -51 (-51 on both sides)

-S= -5

S= 5 (divide by -1 throughout)

Subst. S=5 into (3):

L= 17 -5

L= 12

Escribe una ecuación en la forma pendiente interceptó para la línea descrita
Ejemplo 1: pendiente 1.5 , pasa por (0,5)

fórmula y=mx+b


Ayuden por favor

Answers

Answer:

Pendiente-Intercepto:

pendiente = 1.5, intercepto = 5

Ecuacion: y = 1.5x+5

which method can be used to solve 11x13

Answers

Answer:

Simple column method

Step-by-step explanation:

  11

x 13

  33

 110

 143

Answer:

Use the grid method, since it is the most obvious option. But, you may also use the distribution method.

Step-by-step explanation:

Distribution method:

divide 13 into 10 +3

then multiply 11 with 10 and 3 individually.

This can be written as 11(10+3) = 110+33 = 143

Please mark brainiest

2y/5y cube + 4y square + 6y

Answers

Answer:

here down is the answer

(2y/5y)^3+4y^2+6y

8y^3/125y^3 +16y^2+6y

8/125+16y^2+6y

8/125+16y^2+6y=0

16y^2+6y+8/125=0

it is in the form of quadratic equation

formula :

x=(-b+-square root of b^2-4ac) /2a

here a=16,b=6&c=8/125

x=(-b+-square root of b^2-4ac)/2a

x=(-6+-square root of 36-4.09)/2a here 4.09 came by calculation

x=(-6+-31.91)/2

so

x=(-6+31.91)/2 first (+);

x=25.91/2

x=12.955;

x=(-6-31.91)/2 then(-);

x=-37.91/2

x=-18.955 ;

ans is = 12.955&-18.955;

Which two equations represent parallel lines?
A. Y=2x-5
B. Y=-1 over 2x +5
C. Y=1over2x-5
D. Y=2x+ 5
And why?

Answers

Answer:

A&D

Step-by-step explanation:

Lines with the same slope are parallel. 2x-5 and 2x+5 have the same slope

Answer:

A and D are parallel.

Step-by-step explanation:

Refer to the slope-intercept equation (y = mx + b).

M = the slope

If the slopes are equal, then the lines are parallel.

The slope for line A is 2, and so is the slope for line D.

Line A and line D are parallel.

An ice cream truck that plays loud music is circling Bulans neighborhood. C(t) models the volume of the music in dB that Bulan hears, t minutes after the truck arrives in her neighborhood. Here T is entered in radians C(t)=-15cos(2pi/15t)+65 how many minutes after te truck arrives does the volume reach 75

Answers

Answer:

  5.5 minutes

Step-by-step explanation:

Fill in the given information and solve for t.

  75 = -15cos(2πt/15) +65

  -10/15 = cos(2πt/15)

  t = 15/(2π)arccos(-2/3) ≈ 5.492

The volume reaches 75 dB about 5.5 minutes after the truck arrives.

A ball is tossed from an upper-story window of a building. The ball is given an initial velocity of 8.8 m/s at an angle of 23 SE from the window. It hits the ground 5s later. (A) how far horizontally from the building does the ball land on the ground? (B) find the height that the ball was thrown from

Answers

Answer:

a)40.5m

b)139.5m

Step-by-step explanation:

Considering downward as 'positive' y-direction

[tex]x_i=0\\y_i=0\\v_i=8.8m/s\\a_x=0\\a_y=g\\\theta = 23\degree\\t=5s[/tex]

First is to resolve initial velocity into x and y component:

[tex]v_x_i=v_icos\theta = 8.8 \times cos(23)= 8.1m/s\\v_y_i=v_isin\theta = 8.8 \times sin(23)= 3.4m/s\\[/tex]

a) in order to find horizontal position of the ball:

[tex]x_f=x_i+v_x_it+\frac{1}{2} a_xt^2[/tex]

[tex]x_f= 8.1\times5=40.5m[/tex]

b) To find the height that the ball was thrown from(vertical position):

[tex]y_f=y_i+v_y_it+\frac{1}{2} a_yt^2\\y_f=(3.4\times 5)+(\frac{1}{2} \times9.8\times5^2)\\y_f=139.5m[/tex]

Only need answer A answered please

Answers

HEY MATE HERE IS UR ANSWER

The graph of the function is the set of all points (x,y) in the plane that satisfies the equation y=f(x) y = f ( x ) . ... A vertical line includes all points with a particular x value. The y value of a point where a vertical line intersects a graph represents an output for that input x value.

FOLLOW ME AND MARK AS BRAINLIEST AND CHAT INBOX

What is $ 1.20 x 5 =? My brain is not working! LOL!

Answers

Answer:

6.25

Step-by-step explanation:

=1.20*5

=6.25

Answer:

6

Step-by-step explanation:

1.20 x 5 = 6

6/5 = 1.20

Guess my rule. PLS HELP ME I BEG

Answers

Answer:

12,22,2002, 4x, 5x

Step-by-step explanation:

The rule is x2 +2

Not sure on the last 4

Sorry I answered late.

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