If m ZABD = 78°, what are mZABC and mZDBC?
(5x+3)
(5x-5)

If M ZABD = 78, What Are MZABC And MZDBC?(5x+3)(5x-5)

Answers

Answer 1
ABD = ABC + DBC
Eqivalent to:
78 = (5x + 3) + (5x - 5)
78 = 5x + 5x + 3 - 5
78 = 10x - 2
80 = 10x (move -2 to the left side and get 78 + 2 = 80)
8 = x (80/10 = 8)
With x = 8,
ABC = 5x - 5 = 8*5 - 5 = 40 - 5 = 35
DBC = 5x +3 = 8*5 + 3 = 40 + 3 = 43

Answer 2

Hi, I'm happy to help!

First, we need to solve for x. We know that ABD is 78 degrees. (5x+3), and (5x-5) combined are also 78 degrees. So, we combine the like terms of these to get a new expression.

(5x+3) +(5x-5)

10x-2=78

From here, we want to single out the x, by editing both sides in the same way.

10x-2=78

    +2  +2

10x=80

÷10 ÷10

x=8

Now that we know what x is, we can plug it in to the previous expressions to get the angles of ABC and DBC.

(5x-5)

((5·8)-5)

(40-5)

35

Now, we know that ABC is 35 degrees.

(5x+3)

((5·8)+3)

(40+3)

43

Now, we also know that DBC is 43 degrees.

To verify our answer we can add ABC and DBC together to check if it totals to ABD.

35+43=78

Now, we know that the answer: ABC is 35 degrees and DBC is 43 degrees is correct.

I hope this was helpful, keep learning! :D


Related Questions

Find the arc length of the partial circle.

Answers

Answer:

arc length = 4π units

Step-by-step explanation:

The arc length is calculated as

arc = circumference of circle × fraction of circle

     = 2πr × [tex]\frac{90}{360}[/tex]

     = 2π × 8 × [tex]\frac{1}{4}[/tex]

     = 2π × 2

    = 4π units ← exact answer

Mark Brainliest please

Answer : Arc length (L) = 12.56637

cho tam giác ABC cân tại A trung tuyến AM.Biết BC=6cm,AM=4cm .Tính độ dài các cạnh AB và AC

Answers

Vì tam giác ABC cân tại A (gt) mà AM là đg trung tuyến nên AM đồng thời là đg cao của t/giác đó:

AM là trung tuyến của t/giác ABC nên M là trung điểm BC:

=> BM =BC/2 =6:2=3(cm)

Xét tam giác AMB vuông tại M

AB^2 =AM^2+BM^2 ( theo định lý Py-ta -go)

22. Find the area of circle with radius 7cm ( π) ​

Answers

Answer:

Sol:Here

Radius (R) =7cm

Area of circle (A) =pie*r^2

=22/7*7^2

=3.14*7^2

=3.14*49

=153.86

Answer:

A=49πcm²

Step-by-step explanation:

A=πr²

Given r=7,A=π(7²)=49πcm²

What was the most common rating in the 26-35 age group?
nal
Is
OA Excellent
ОВ.
Good
OC. Average
OD
Poor
O E both Average and Poor

Answers

Answer:

I think its average

Step-by-step explanation:

not sure:)

Answer: it is average

Step-by-step explanation: just done It

Express 4 in simplest radical form.

Answers

Answer:

2

Step-by-step explanation:

19x - 45 = 240

Plz solve for x

Answers

Answer:

[tex]x=15[/tex]

Step-by-step explanation:

[tex]19x-45=240[/tex]

[tex]19x-45+45=240+45[/tex] (Add [tex]45[/tex] to both sides of the equation to isolate [tex]x[/tex])

[tex]19x=285[/tex] (Simplify)

[tex]\frac{19x}{19} =\frac{285}{19}[/tex] (Divide both sides of the equation by [tex]19[/tex] to get rid of [tex]x[/tex]'s coefficient)

[tex]\bf x=15[/tex] (Simplify)

Hope this helps!

Answer:

x = 15

Step-by-step explanation:

To solve this problem we want to get the variable "x" on one side by itself.

(Step 1: Re-write equation)

19x - 45 = 240

(Step 2 : add 45 on both sides.)

19x - 45 = 240

       +45  +45

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

19x = 285

(Step 2: Divide 19 on both sides)

19x/19 = 285/19

x = 15

Hope this helps :)

The equation y=1/4x represents a proportional relationship. What is the constant of proportionality?

A. 1/4
B. x
C. 0
D. 4

Answers

Answer:

k = 1/4

Step-by-step explanation:

A proportional relationship is

y = kx  where k is the constant of proportionality

y = 1/4x

k = 1/4

Answer:

a. 1/4

Step-by-step explanation:

1/4 shows the relation of y and x. (that y is one fourth of x)

change 0.625 to a percentage

Answers

Im pretty sure that its 62.5%

Answer:

62%

Step-by-step explanation:

If you need to round to nearest percent it will be 63%

What is the volume of a sphere with a diameter of 7.7 ft, rounded to the nearest tenth
of a cubic foot?

Answers

Step-by-step explanation:

V=4/3πr^3

V=4/3π(3.85)^3

V=4/3π(57.066625)

V=4/3 (179.280089865)

V=239.04011982

V=239 ft^3

PLEASEE HELP ASAP........

Answers

Answer:

(C). 126

Step-by-step explanation:

[tex]\frac{45}{x}[/tex] = [tex]\frac{65}{182}[/tex]

x = 126

Answer:

Hello,

Answer C\\

Step-by-step explanation:

Triangle EUT is similar to triangle EGF

[tex]\dfrac{EU}{EG} =\dfrac{ET}{EF} \\\\\dfrac{140-90}{140} =\dfrac{45}{EF} \\\\\\EF=\dfrac{45*140}{50} \\\\\\RF=126\\\\Answer\ C\\[/tex]

A measuring cylinder of radius 3cm contains water to a height of 49cm. if this water is poured into a similar cylinder of radius 7cm, what will be the height of the water column​

Answers

Hey there! I'm happy to help!

Hey there! I'm happy to help!

First, let's find the area of the circle of the first cylinder. To do this, we square the radius and multiply by 3.14.

3²=9

9×3.14=28.26

Now we multiply by our height of 49 cm to see how much water there is.

28.26×49=1384.74

Now, let's find the area of the circle of the 7 cm cylinder.

7²=49

49×3.14=153.86

Now, we will take our liquid amount (volume) and divide by this circle amount (base) to find the number of centimeters of height of the water column.

1384.74÷153.86=9

So, the height of our water column will be 9 cm.

Have a wonderful day and keep on learning! :D

what is the answer to -3/7 x -1 2/3

Answers

Answer:

-9x-35/21

Step-by-step explanation:

Answer:

[tex]\frac{5}{7}[/tex]

Step-by-step explanation:

[tex]\frac{-3}{7}* (-1\frac{2}{3})=\frac{-3}{7}*\frac{-5}{3}\\\\= \frac{5}{7}[/tex]

Given that Ray B A bisects ∠DBC, which statement must be true?

Answers

B is the midpoint of DC.

Hi!! Can you please help with this question and explain how to solve it??
Find the height in centimeters of a square pyramid with a volume of 144 cm3 and a base edge length equal to the height. Give the approximate answer rounded to 2 decimal places.

Answers

9514 1404 393

Answer:

  7.56 cm

Step-by-step explanation:

The volume is given by the formula ...

  V = 1/3b²h . . . . where b is the base edge length, and h is the height.

Here we have V = 144 cm³, and b = h. Filling in these values and solving for h, we get ...

  144 cm³ = 1/3h³

  432 cm³ = h³

  h = ∛432 cm ≈ 7.55953 cm

The height of the pyramid is about 7.56 cm.

Answer:

[tex]7.56cm[/tex]

Step-by-step explanation:

Given that,

base length = Height

so,

[tex]volume = \frac{1}{3} {b}^{2} h \\ [/tex]

We can also write this as( according to this question)

[tex]v = \frac{1}{3} \times {b}^{2} \times b \\ v = \frac{ {b}^{3} }{3} [/tex]

let's solve

[tex]v = \frac{ {b}^{3} }{3} \\ 144 = \frac{ {b}^{3} }{3} \\ 144 \times 3 = {b}^{3} \\43 2 = {b}^{3} \\ \sqrt[3]{432} = b \\ b = 7.55[/tex]

[tex]base = height = 7.55cm \\ [/tex]

= 7.56cm

Ratios, Rates, and Percents
17:30
Question 16
Problem
Patricia traveled an average speed of 65 miles per hour for 4.5 hours and then traveled at an average speed of 60 miles per hour for 1.5 hours. What was the total distance in
miles that Patricia traveled during this time?

Answers

Answer:

382.5 :)

Step-by-step explanation:

took test

intergrate x×(x²-3)³

Answers

Answer:   [tex]\large \boldsymbol{\dfrac{1}{8 } (x^2-3)^4+c}[/tex]

Step-by-step explanation:

[tex]\displaystyle \large \boldsymbol{} \int\limits {x(x^2-3)^2 } \, dx =\int\limits \frac{1}{2} {} \, (x^2-3)' (x^2-3)^3 dx =\frac{1}{8} (x^2-3)^4+c[/tex]

use an algebraic equation to find the measures of the two angles described below. begin by letting x represent the degree measure of the angles supplement.

the measure of the angle is twenty-nine times greater than its supplement

Answers

X+29x= 180
30x= 180
One angle is 6 the other is 174

If m = 8 and n = 5, then man + 3) – n+1-

Answers

Answer:

P (−1)n(n+1)(n+2) (n+1)3 converges

Step-by-step explanation:

Can someone help? I’m almost done with this class.

Answers

Answer:

750

300

390, 570

120,750

2.28

15.87

Step-by-step explanation:

write down a fraction that is more than 41% less than 42%
brainiest awarded!

Answers

Answer:

83/200

Step-by-step explanation:

41%=41/100=0.410

42%=21/50=0.420

41.5%=83/200=0.415

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
The interquartile range is determined by the formula _____________.
A. Third quartile – First quartile
B. Third quartile + first quartile
C. First quartile – third quartile
D. Maximum – minimum

Answers

Answer:

A-Third quartile-First quartile

Step-by-step explanation:

The interquartile range is found by taking the third quartile minus the first quartile. It is also found by taking the right side of the box in a box and whisker plot and subtracting the left side of the box in a box and whisker plot

3.) Find the measure of the missing angle X:

120°
70°

Answers

Answer:

x=50

Step-by-step explanation:

Let's look at the red angle. if a flat line makes the angle 180, and the outer angle is 120, subtract 120 from 180. This will give you 60. Now every angle of a triangle added together will give you the sum of 180. So you already have 60 and 70, which make 130 all together. Subract 130 from 180 - (180-130) - and you'll get the result of 50.

The solution is :  the measure of the missing angle X is x=50.

What is an angle?

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

here, we have,

from the given diagram, we get,

Let's look at the red angle.

if a flat line makes the angle 180, and the outer angle is 120,

subtract 120 from 180.

This will give you 60.

Now every angle of a triangle added together will give you the sum of 180.

So you already have 60 and 70,

which make 130 all together.

Subtract 130 from 180

i.e. (180-130) = 50

and we get the result of 50.

Hence, The solution is :  the measure of the missing angle X is x=50.

To learn more on angle click:

brainly.com/question/28451077

#SPJ2

please please please help me with this assignment :)

Answers

Answer:

$45.63

Step-by-step explanation:

[tex]50,145 cm^{3} * 2.6 g/cm^3 = 130,377 g\\130,377 g = 130.377 kg\\130.377 kg * $0.35/kg = $45.63\\[/tex]

or all together    

50,145 cm³  *  2.6 g/cm³ * 0.35/kg =  $45.63

Use the table to find an quadratic equation of best fit.

Answers

Answer:

[tex]y = 5 {x} + 1[/tex]

when x is 0:

y = 5(0) + 1

y = 1 ( 5th box )

when x is 1:

y = 5(1)+1

y = 6 ( 6th box )

hence true for other values

Answer:

y=0.6x2+5x+1.1

Step-by-step explanation:

gjtgdgjdgdjxjfsbgsyuahjduegd love

Pls answer all questions

Answers

5:-c

The 3multiples are 25,50,75

6:-c

[tex]\\ \sf\longmapsto 6\:of\:2+9-5[/tex]

[tex]\\ \sf\longmapsto 6(11-5)[/tex]

[tex]\\ \sf\longmapsto 6(6)[/tex]

[tex]\\ \sf\longmapsto 36[/tex]

7:-a

12,17

8:-c

22=2×1188=2×2×2×11

HCF=2×2×11=44

9:-c

LCM of 9 and 5 is 45 hence its true

10:-c

HCF of two consecutive numbers is 1

Help pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

The first statement is incorrect

Step-by-step explanation:

1 1/5 is positive so it is greater than the negative numbers

-2 2/5 is more negative than -1 3/5 so it is to the left on the number line

-2 2/5 < -1 3/5 < 1 1/5

11/5  < -2 1/5 is not correct  because 1 is bigger than -2

Answer:

1 1/5 < -2 2/5 because 1 1/5 is located to the right of -2 2/5 on the number line.

Step-by-step explanation:

Next time, don’t title your question like that.

This statement is not true because 1 1/5 > -2 2/5 because 1 1/5 is positive.

Please help ME ASAP!!Please explain the answer

Answers

Answer:

It seems like you misunderstood the instructions, though I don't blame you because they wrote it strangely. I believe that you're supposed to draw your own conclusion and then explain how you go there, rather than analyze a conclusion that was already drawn for you. If a long drive=a large fare, and you've been told that the driver has a long drive, you can draw the conclusion that "The fare will be large."

Help, I need this answered soon

Answers

Answer:

9.

Step-by-step explanation:

45 / [8(5 - 4) - 3]

= 45 / (8 * 1 - 3)

= 45 / (8 - 3)

= 45 / 5

= 9.

Hope this helps!

9

Work:
PEMDAS
45/8 (5 - 4) - 3
45/8 (1) - 3
45/8 - 3
45/5
9

Uploaded this one again! Hopefully y’all can see it better

Answers

i believe it is 53.7

find a number such that when 3/4 of it is added to 3½the sum is the same as when 2/3 of it is subtracted from 6½. PLEASE HELP​

Answers

Answer:

- 120

Step-by-step explanation:

call x is the number you want to find

(3/4 )x + 3[tex]\frac{1}{2}[/tex] = (2/3)x - 6[tex]\frac{1}{2}[/tex](3/4)x + (7/2) = (2/3)x - (13/2)(3/4)x - (2/3)x = - (13 /2) - (7/2)(1/12)x = -10x = -10 / (1/12) = -120
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