In the below figure angle abc is 69 degree, angle acb is 31 degree so find the angle bdc

Answers

Answer 1

Answer:

[tex]\angle BDC=80^{\circ}[/tex]

Step-by-step explanation:

We are given that

[tex]\angle ABC=69^{\circ}[/tex]

[tex]\angle ACB=31^{\circ}[/tex]

We have to find the angle BDC.

In triangle ABC

Sum of interior angles of triangle=180 degrees

[tex]\angle ABC+\angle ACB+\angle BAC=180^{\circ}[/tex]

[tex]69+31+\angle BAC=180[/tex]

[tex]100+\angle BAC=180[/tex]

[tex]\angle BAC=180-100[/tex]

[tex]\angle BAC=80^{\circ}[/tex]

[tex]\angle BAC=\angle BDC=80{\circ}[/tex]

Angles subtended on the same are ac are equal.

[tex]\angle BDC=80^{\circ}[/tex]

In The Below Figure Angle Abc Is 69 Degree, Angle Acb Is 31 Degree So Find The Angle Bdc

Related Questions

Work out the coordinates of the midpoint of AB

Answers

Answer:

a) It is clear that point A is located at x = -2, and y = -1, therefore, the coordinates of point A are: A(-2, -1)

b) We can plot the point B (-2, 4) on the grid at x = -2 and y = 4.

Please check the attached graph.

c) The coordinates of the midpoint of AB:  [tex]\left(-2,\:\frac{3}{2}\right)[/tex]        

Step-by-step explanation:

Part a)

Important Tip:

The coordinates of point A can be determined by checking the location of point A.

It is clear that point A is located at x = -2, and y = -1, therefore, the coordinates of point A are:

A(-2, -1)

Part b)

We can plot the point B (-2, 4) on the grid at x = -2 and y = 4.

Please check the attached graph.

Part c)

We can determine the coordinates of the midpoint of AB using the formula

[tex]M.P_{AB}=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

In our case, we have:

A(x₁, y₁) = A(-2, -1)

B(x₂, y₂) = B (-2, 4)

so substituting [tex]\left(x_1,\:y_1\right)=\left(-2,\:-1\right),\:\left(x_2,\:y_2\right)=\left(-2,\:4\right)[/tex] in the formula

[tex]M.P_{AB}=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

            [tex]=\left(\frac{-2-2}{2},\:\frac{4-2}{2}\right)[/tex]

Refine

            [tex]=\left(-2,\:\frac{3}{2}\right)[/tex]

Therefore, the coordinates of the midpoint of AB:  [tex]\left(-2,\:\frac{3}{2}\right)[/tex]          

Match the following expression 12(x-3)+18=4(2x-3) with the number of solutions below.
A.One solution?
B.No solution ?
Or
C.All solution?

Answers

12(x-3) + 18 = 4(2x-3)

12x-36+18 = 8x-12

12x -18 = 8x-12

12x-8x = -12 + 18

4x = 6

x = 6/4 or 3/2

one solution A

Answer:

3/2, one solution.

Step-by-step explanation:

12(x-3)+18=4(2x-3)

12x-36+18=8x-12

12x-8x-18=-12

4x-18=-12

4x=-12+18

4x=6

x=6/4

simplify

x=3/2

Learning Task 1 4/625 11. 796 A. Simplify the radical expressions 1. V63 6. V24 2. 48 7. 781 3. 775 8. V128 4. 99 9. 340 5. 92 12. 128 13. 4/243 14. V3000 10. V135 15.

Answers

Question:

Simplify the radical expressions

[tex]1.\ \sqrt{63[/tex]     [tex]2.\ \sqrt{48[/tex]    [tex]3.\ \sqrt{75[/tex]      [tex]4.\ \sqrt{99[/tex]      [tex]5.\ \sqrt{92[/tex]

[tex]6.\ \sqrt[3]{24}[/tex]      [tex]7.\ \sqrt[3]{81}[/tex]      [tex]8.\ \sqrt{128}[/tex]     [tex]9.\sqrt[3]{40}[/tex]     [tex]10.\ \sqrt[3]{135}[/tex]

Answer:

[tex]\sqrt{63}= 3 \sqrt7[/tex]

[tex]\sqrt{48} = 4\sqrt{3}[/tex]

[tex]\sqrt{75} = 5\sqrt{3}[/tex]

[tex]\sqrt{99} = 3 \sqrt{11[/tex]

[tex]\sqrt{92} = 2\sqrt{23[/tex]

[tex]\sqrt[3]{24} = 2 \sqrt[3]{3}[/tex]

[tex]\sqrt[3]{81} =3\sqrt[3]{3}[/tex]

[tex]\sqrt{128} = 8 \sqrt{2}[/tex]

[tex]\sqrt[3]{40} = 2 \sqrt[3]{5}[/tex]

[tex]\sqrt[3]{135} =3\sqrt[3]{5}[/tex]

Step-by-step explanation:

[tex]1.\ \sqrt{63[/tex]    

Express 63 as 9 * 7

[tex]\sqrt{63}= \sqrt{9 * 7[/tex]

Split:

[tex]\sqrt{63}= \sqrt{9} * \sqrt7[/tex]

[tex]\sqrt{63}= 3 * \sqrt7[/tex]

[tex]\sqrt{63}= 3 \sqrt7[/tex]

[tex]2.\ \sqrt{48[/tex]    

Express 48 as 16 * 3

[tex]\sqrt{48} = \sqrt{16*3}[/tex]

Split

[tex]\sqrt{48} = \sqrt{16}*\sqrt{3}[/tex]

[tex]\sqrt{48} = 4*\sqrt{3}[/tex]

[tex]\sqrt{48} = 4\sqrt{3}[/tex]

[tex]3.\ \sqrt{75[/tex]    

Express 75 as 25 * 3

[tex]\sqrt{75} = \sqrt{25*3}[/tex]

Split

[tex]\sqrt{75} = \sqrt{25}*\sqrt{3}[/tex]

[tex]\sqrt{75} = 5\sqrt{3}[/tex]

[tex]4.\ \sqrt{99[/tex]  

Express 99 as 9 * 11

[tex]\sqrt{99} = \sqrt{9} * \sqrt{11}[/tex]

Split

[tex]\sqrt{99} = 3 \sqrt{11[/tex]

[tex]5.\ \sqrt{92[/tex]

Express 92 as 4 * 23

[tex]\sqrt{92} = \sqrt{4} * \sqrt{23[/tex]

[tex]\sqrt{92} = 2* \sqrt{23[/tex]

[tex]\sqrt{92} = 2\sqrt{23[/tex]

[tex]6.\ \sqrt[3]{24}[/tex]    

Express 24 as 8 * 3

[tex]\sqrt[3]{24} = \sqrt[3]{8} * \sqrt[3]{3}[/tex]

Express 8 as 2^3

[tex]\sqrt[3]{24} = \sqrt[3]{2^3} * \sqrt[3]{3}[/tex]

[tex]\sqrt[3]{24} = 2 \sqrt[3]{3}[/tex]

[tex]7.\ \sqrt[3]{81}[/tex]

Express 81 as 27 * 3

[tex]\sqrt[3]{81} =\sqrt[3]{27}*\sqrt[3]{3}[/tex]

Express 27 as 3^3

[tex]\sqrt[3]{81} =\sqrt[3]{3^3}*\sqrt[3]{3}[/tex]

[tex]\sqrt[3]{81} =3\sqrt[3]{3}[/tex]

[tex]8.\ \sqrt{128}[/tex]    

Express 128 as 64 * 2

[tex]\sqrt{128} = \sqrt{64} * \sqrt{2}[/tex]

[tex]\sqrt{128} = 8 \sqrt{2}[/tex]

[tex]9.\sqrt[3]{40}[/tex]

Express 40 as 8 * 5

[tex]\sqrt[3]{40} = \sqrt[3]{8} * \sqrt[3]{5}[/tex]

[tex]\sqrt[3]{40} = \sqrt[3]{2^3} * \sqrt[3]{5}[/tex]

[tex]\sqrt[3]{40} = 2 \sqrt[3]{5}[/tex]

[tex]10.\ \sqrt[3]{135}[/tex]

Express 135 as 27 * 5

[tex]\sqrt[3]{135} =\sqrt[3]{27}*\sqrt[3]{5}[/tex]

Express 27 as 3^3

[tex]\sqrt[3]{135} =\sqrt[3]{27}*\sqrt[3]{5}[/tex]

[tex]\sqrt[3]{135} =3\sqrt[3]{5}[/tex]

the hymn of primeval men addressed fixed social groups in vedic society known as :
a. karma
b.varna
c.skandas
d.dharma

Answers

answer is B. varna because it is a religious chant ok f India from the Vedas in ancient cultures of Hinduism

PLS HELP!!! THIS IS ALGEBRA 1

Answers

Answer:

It's answer C, as in the numbers below goes below the dividing point

I need help with this

Answers

Answer:13 thank me later

11 devided by 108?! plz ​

Answers

Answer:

[tex]11 \: devided \: by \: 108 = \frac{11}{108} = \boxed{0.1018518519} \\while \to \\ 108 \: devided \: by \: 11= \frac{108}{11} = \boxed{9.8181818182} \\ [/tex]

Answer: 11 divided by 108 = 0.10185185185

108 divided by 11 = 9.81818181818

Step-by-step explanation:

what is 2 (x + 3) = x - 4

Answers

Answer:

x= -10

Step-by-step explanation:

................


If f (x) = - 9x + 8, then find f (-2)

Answers

Answer:

26

Step-by-step explanation:

f(x) = -9x + 8

f(-2)

______________

When we have a function f(x), x can be plugged in with anything, when plugged, the equation the function f(x) is tied too will also have x replaced with the value.

Therefore, if f(x) equals f(-2), -9(-2) + 8

Multiply :

-9(-2) + 8

18 + 8

26

Nell's mortgage is $50,150 at 10 percent for 30 years.

What is her monthly payment if she must pay $8.78 per $1,000?

Answers

Answer:

The correct option is a.

Step-by-step explanation:

It is given that Nell's mortgage is $50,150 at 10 percent for 30 years and she must pay $8.78 points per $1,000.

EMI on $1000 is $8.78, so EMI on $1 is

EMI on $1 = 8.78/1000 = 0.00878

EMI on $50150 is

EMI on $50150 = 0.00878 x 50150 = 440.317 = 440.32

Therefore the correct option is a.

Hope this help you! ^_^

Estimate the answer by rounding each fraction to the nearest whole number and then adding

Answers

A, it’s 23 33/40ehdhdhd

A boat traveled 240 miles downstream and back. The trip downstream took 12 hours. The trip back took 24 hours. What is the speed of the boat in still water? What is the speed of the current?

Answers

Answer:

rate boat = 15 mph

rate current = 5 mph

explanation:

d = r * t

t = d/r

240 / (r_boat + current) = 12       Multiply both sides by r_boat + r_current.

240 = 12(r_boat + current)

240/ (r_boat - current) = 24       Multiply both sides by r_boat - r_current

240 = 24*(r_boat - current)    

Since the distances are the same in both equations, you can equate the right side of each.

12 (r_boat + current) = 24(r_boat - current)     Divide by 12

r_boat + current  = 2 (r_boat - current)             Remove the brackets.

r_boat  + current = 2*r_boat - 2* current          add 2 currents to both sides

r_boat  + 3currents = 2*r_boat                          Subtract r_boat both sides

3 currents = r_boat.

240 = 12*(r_boat + current.                               Divide by 12

20 = r_boat + current                                        Put 3 currents in for r_boat

20 = 3currents + 1 current                                Combine

20 = 4 currents                                                  Divide by 4

5 = current

The rate of the current = 5 miles / hour

3 currents = r_boat

3*5 = rate_boat

15 = rate of the boat

Which applies the power of a power rule properly to simplify the expression (710)5?
(710)5= 710 ÷ 5 = 72
(710)5= 710 - 5 = 75
(710)5= 710 + 5 = 715
(710)5= 710 · 5 = 750

Answers

Answer:

D;(710)5= 710 · 5 = 750

Step-by-step explanation:

Find three consecutive even integers such that the sum of the smallest and the largest is 36.

Answers

Answer:

Step-by-step explanation:

The consecutive even integers are (2n-2), (2n), and (2n+2), where n is an integer.

(2n-2) + (2n+2) = 36

4n = 36

n = 9

(2n-2) = 16

(2n) = 18

(2n+2) = 20

What is the measure of the missing angle? *
H
60°
82%

Answers

Answer:

38 degrees

Step-by-step explanation:

180 - (60 + 82) =

180 - 142 =

38 degrees

Hope that helps!

38 degrees homie hope this helps

Question 4
If f(x) = 12 - 3| + 7, then which of the following is the value of f(1)?
1)11
2) 13
3)9
4)17

Answers

Answer:

f(1)= 12-31+7

Step-by-step explanation:

f(1) = -12

how many inches are in a feet

Answers

Answer:

1 foot = 12 inches

Step-by-step explanation:

400 sayısının %43 fazlası kaç eder​

Answers

Answer:

cevap =560...........

Need help with these 3 math questions pls help me.

Answers

Step-by-step explanation:

Question 1 (answer is C)

6 4

5 2

y=mx+b

4= 6m+b

2=5m +b

by subtracting the two equations

m= 2

4= 6(2)+b

b= 4-12

b= -8

y= 2x- 8

then the answer is C

Question 2

the answer is C

the answer is Cbecause the linear function has a power of (1)

Question 3(B)

m= -2

3 5

y=mx+b

5= 3(-2)+b

5= -6+b

b= 5+6

b= 11

y= -2x +11

the answer is (B)


y’all please help me with my 8th grade math homework

Answers

Answer:

the answer to the riddle is a rectangle

Step-by-step explanation:

Answer:

Your answer is A rectangle and that should help you figure out which answer is which...

Step-by-step explanation:

27n⁵+75n³ (Factor completely)

Answers

Answer:

3n^2 (9+25n)

Step-by-step explanation:

[tex]\tt{}27n^{5} + 75 {n}^{3} [/tex]

[tex]\tt{} {3n}^{2} \times (9 {n}^{2} + 25)[/tex]

Find the perimeter. Explain what you added together to get your answer. You can get partial credit for explaining steps, even if your final answer is incorrect. ​

Answers

Answer:

the area of the shape is 7.14

Step-by-step explanation:

First, find the area of the square:

2 in x 2 in = 4 in

then to find the area of the semi- circles add them together to make a circle

To find the area of the circle, use:

pi x radius^2  

Since the diameter is 2 divide the diameter by 2 to get radius  

3.14 x 1^2 = 3.14

The circle is 3.14 plus 4 ( the square ) = 7.14

The radius of a circle is 3 millimeters. What is the circle's circumference?

Answers

Answer:

18.84

Step-by-step explanation:

Since the radius is 3 mili then we have to multiply 3 by 2 to get the diameter. Then multiple the diameter and pie 6×3.14 is 18.84.

please help its hard btw

Answers

Answer:

4213

Step-by-step explanation:

go to the numbers that pop out and do it backwards.

pleasee helpp answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

BDE

or

EDB

Step-by-step explanation:

Make the marked angle, D, your center point. Find the two other points of the angle, E and B. write them in order, forwards and backwards.

Please help
I need for tomorrow

Answers

Answer:

Step-by-step explanation:

Add them

Classify the number 1/2 into as many categories as it belongs: Natural number, whole number, integer, or rational number.

.natural number
.whole number
.integer
.rational number

Answers

ratinol rational number

The ratio of raspberries to strawberries is 1:7. If there
are 147 strawberries, how many raspberries are
there?

Answers

Answer:

21 RASBERRIES

Step-by-step explanation:

THERE ARE 147 STRAWBERRIES.

THE RATIO OF RASBERRIES TO STRAWBERRIES ARE 1:7

THEN,

THE AMOUNT OF RASBERRIES ARE 1/7 TIMES OF THE STRAWBERRIES.

SO,THERE ARE (147×1/7) or,21 RASBERRIES.

SO THE ANSWER IS: THERE ARE 21 RASBERRIES...

HEEEEEEEELLLLLLPPPPPPPPP Graph the equation using the slope and y-intercept y = 1/3x + 4

Answers

Answer:

Step-by-step explanation:

Branden and Janna are analyzing the same conditional statement. Branden finds multiple examples that validate the conditional statement. Janna finds one example that satisfies the hypothesis of the conditional statement, but not the conclusion. Which must be true? The conditional statement is true. There are more examples that validate the statement than there are that do not. The conditional statement is true. There is at least one example that validates the statement. The conditional statement is false. There is at least one counterexample for the statement. The conditional statement is false. There must be exactly one example that validates the statement.

Answers

Answer:

C. The conditional statement is false. There is at least one counterexample for the statement.  

Step-by-step explanation:

took the quiz

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