1. ABCD is a quadrilateral in which AD = BC and ∠DAB = ∠CBA. Prove that δABD ≌ ΔBAC.

1. ABCD Is A Quadrilateral In Which AD = BC And DAB = CBA. Prove That ABD BAC.

Answers

Answer 1

Step-by-step explanation:

ABCD is a quadrilateral triangle,where AD=BC and <DAB =<CBA.

In ∆ABD and ∆BAC

•AD=BC. (given)

•<DAB=<CBA (given)

•AB=BA. (common side)

Therefore, ∆ABD ≌ ΔBAC. {SAS congruence rule}


Related Questions

What 2 divided by 188

Answers

Answer:

1/94

Step-by-step explanation:

2/188 = 1/94

Answer:

0.01063829787.

Step-by-step explanation:

Caculator.

Zachy plays a game. He earns and loses the following amounts of points throughout the entire game

-5
5
-5
-5
5
5

Answers

He has zero points and loses zero points

Explanation:
He loses 5 three times so 15
And the -5 is just him getting 5 points so
If he lost 15 points and the gains 15 point he has zero points

Sin A 4/5.

Find
COSA + tan A

Answers

Answer:

Step-by-step explanation:

The opposite side (the one not connected to A) = 4

The hypotenuse is 5

The adjacent side needs to be found for the cosine and the tangent.

a^2 + b^2 = c^2

a = opposite side = 4

b = adjacent side = ?

c = hypotenuse = 5

4^2 + x^2 = 5^2

16 + x^2 = 25          

x^2 = 25 - 16

x^2 = 9

x = sqrt(9)

x = 3

cos(A) = adjacent / hypotenuse = 3/5

Tan(A) = opposite / adjacent = 4/3

cos(A) + tan(A) = 3/5 + 4/3

cos(A) + tan(A) = 9/15 + 20/15 = 29/15

Given: SinA = 4/5

To find: CosA + TanA

Solution:
16/25 + Cos²A = 1 [Sin²A + Cos²A = 1]
Cos²A = 1 - 16/25
Cos²A = 25 - 16/25
Cos²A = 9/25
CosA = 3/5
We know that TanA = SinA/CosA
TanA = (4/5)/(3/5)
TanA = 4/3
CosA + TanA = 3/5 + 4/3 = 29/15

In a bakery, 70% of the doughnuts are glazed. If glazed doughnuts account for 21% of all pastries in the bakery, what percent of all pastries in the bakery are doughnuts

Answers

Answer:

30%

Step-by-step explanation:

is the function in the graph non-linear?

Answers

Answer:

yeah, because it doesnt have a constant rate of change -  if it did, then it would be linear

Step-by-step explanation:

b) 20 labourers complete the construction of a building in 24 days. In how many days would 16 labourers complete the construction?​

Answers

Answer:

16 labourers complete the construction

in 30 days

Step-by-step explanation:

mark me as a brainlist answer

25x^2-36x+9
with x=2

Answers

25x² - 36x +9, when x = 2

(25 × 2)² - (36 × 2) + 9

50² - 72 + 9

2 500 - 72 + 9

using BODMAS

2 500 + 9 - 72

2 509 - 72

= 2 437

Answer:

Step-by-step explanation:

25(2)^2-36(2)+9

25(4)-72+9

100-72+9

28+9

37

slove for w -22=4(w=2)-7w

Answers

ANSWER: w=10

because math

If (x - 4) varies inversely as (y + 3) and x = 8 when y = 2, what is x when y = - 1?

Answers

Answer:

[tex]x=14[/tex]

Step-by-step explanation:

If two values are inversely proportional, their product must be maintained. That way, if one value goes up, the other goes down by the same extent.

Therefore, if [tex](x-4)[/tex] and [tex](y+3)[/tex] vary inversely, their product will be the same for all values of [tex]x-4[/tex] and [tex]y+3[/tex].

Let [tex]x=8[/tex] and [tex]y=2[/tex] as given in the problem. Substitute values:

[tex](8-4)(2+3)=(4)(5)=20[/tex]

Hence, the maintained product is [tex]20[/tex].

Thus, we have the following equation:

[tex](x-4)(y+3)=20[/tex]

Substitute [tex]y=-1[/tex] to find the value of [tex]x[/tex] when [tex]y=-1[/tex]:

[tex](x-4)(-1+3)=20,\\(x-4)(2)=20,\\x-4=10,\\x=10+4=\boxed{14}[/tex]

suppose a 13 foot ladder is leaning against a building. Reaching to the bottom of a second floor window 12 ft above the ground. How far is the base of the ladder from the building? Round your answer to the nearest 10th

5 ft
4ft
3ft
6ft​

Answers

Answer: First Choice. 5ft

Step-by-step explanation:

Here we need to know the idea of the Pythagorean theorem.

Since a building is straight, the base angle is a right angle, thus it would be a right triangle.

Pythagorean Theorem: a² + b² = c²

**NOTE** Please refer to the attachment below for the figure. (I drew it, so if it was not clear and understandable for you, please tell me.)

Solve:

Given information

a = 12 ft

c = 13 ft

b = unknow base length

Given formula for Pythagorean Theorem

a² + b² = c²

Substitute values into the formula

12² + b² = 13²

Simplify exponents

144 + b² = 169

Subtract 144 on both sides

144 + b² - 144= 169 - 144

b² = 25

Square root both sides

√b² = √25

[tex]\boxed{b=5}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Help! I’ll give you the brainly answer if you help!

Answers

Answer:

2,78,31,64,4-2,10-6,54,-97,-38,-8-7,-4-5,-11-1,-16

what is the shaded region known as​

Answers

The shaded region of a circle formed by one line as shown in the image is called a segment.

Answer: segment

You are adding two rational numbers with different signs.How can you tell if the sum will be positive, Negative,or Zero

Answers

positive if the positive number is greater than the negative number. negative if the negative number is greater. 0 if the two numbers are opposites of each other. an example would be -5 + 5

How do you know that the absolute value of -|-9| is equal to -9?

Answers

Step-by-step explanation:

b/c -|9|

first we will out the number from absolut value

then it will give as -9

In algebra - what can the letter "d" represent? For example, what does "d" stand for in this expression "2d + 3"? *

Answers

Answer:

A constant you need to find when given what the equation is equal to.

Answer:

Here, 'd' is the variable of 2.

The value of the 7 in 37,560 is blank the value of the 7 and 4,720

Answers

Answer:

The value of the 7 in 37, 560 is greater than the value of the 7 in 4, 720.

Step-by-step explanation:

In 37, 560, the value of 7 is 7, 000; in 4, 720, the value of 7 is 700.7, 000 > 700

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

QUICK PLEASE!!!
Consider f(x) Equals StartFraction 8 (x minus 1) Over x squared + 2 x minus 3 EndFraction.

Which statements describe the existence of vertical asymptotes at x = –3 and x = 1?

Answers

Answer:

A

Step-by-step explanation:

edge 2021

Answer:

It is A

Step-by-step explanation:

I got it right on the test Edge 2022.

Delores works weekends at the local coffee shop. Last weekend, she worked for 7.5 hours on Saturday and 8 hours on Sunday. If she earns $9 per hour, how much did she earn last weekend?

Answers

Answer:

So she earned 148 dollars and 50 cents or 148.5

Step-by-step explanation:

Which of these is a factor in this expression?
624 – 4+9 (73 + 3)
O A. -4+9 (+ 3)
O B. (18+ 3)
O C. 624 – 4
O D. 9 (y2 + 3)
URGENT

Answers

Answer:

May be the ans is option C and A

4 (3 + c ) + c = c + 4

what is c?

Answers

Answer:

[tex]4(3 + c) + c = 4 + c \\ 12 + 4c + c = 4 + c \\ 12 + 5c = 4 + c \\ 12 - 4 = c - 5c \\ \\ 8 = - 4c \\ c = \frac{ - 8}{4} \\ c = - 2 \\ thank \: you[/tex]

Answer: c = -2

Step-by-step explanation:

Given

4 (3 + c) + c = c + 4

Expand parentheses and apply the distributive property

4 · 3 + 4 · c + c = c + 4

12 + 4c + c = c + 4

Combine like terms

12 + (4c + c) = c + 4

12 + 5c = c + 4

Subtract 12 on both sides

12 + 5c - 12 = c + 4 - 12

5c = c - 8

Subtract c on both sides

5c - c = c - 8 - c

4c = -8

Divide 4 on both sides

4c / 4 = -8 / 4

[tex]\boxed{c=-2}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

I wrote a cheque for $10 and he threw my 2 dollar how much do I have left​

Answers

Answer:

you have $ 8

Step-by-step explanation:

cheque wrote ,=$10

and he threw =$2

then total $ left will be $8

please mark me brainleast

When p= 12, t= 2, and s= 5, r= 18. If rvaries directly with p and inversely with the product of sand t, what is the
constant of variation?

Answers

Answer:

15

Brainliest, please!

Step-by-step explanation:

r = kp/(st)

p = 12, t = 2, s = 5, r = 18

18 = k(12)/(2)(5)

18 = 12k/10

12k = 180

k = 15

A square vegetable garden has side lengths of 9 feet. You plant flowers i
the center portion of the garden, a square that has side lengths of 5
feet.You divide the remaining space into 4 equal sections and plant
tomatoes,onions, zucchini, and peppers. What is the area of the pepper
section?

Answers

Answer:

14 Sq ft

Step-by-step explanation:

9×9=81

5×5=25

81-25=56

56÷4=14

Write the following inequality in slope-intercept form.
10x + y > -1
Write your answer with y first, followed by an inequality symbol. Use integers, proper
fractions, and improper fractions in simplest form.

Answers

Answer:

y > - 10x - 1

Step-by-step explanation:

Given

10x + y > - 1 ( subtract 10x from both sides )

y > - 10x - 1 ← in slope- intercept form

Answer:

y > -10x - 1.

Step-by-step explanation:

10x + y > - 1

Subtract 10x from both sides:

y > -10x - 1.

HELP!! Use the properties of addition to simplify this expression. 6-8 +6f-2f​

Answers

Answer:

-2 + 4f

Step-by-step explanation:

6 - 8 + 6f - 2f​

2(3 - 4 + 3f -f)     [Distributive Property]

=> 2(-1 + 3f - f)

=> 2(-1 + 2f)

=> -2 + 4f

Answer:

4f-2

Step-by-step explan:

6-8+6f-2f

6-8+4f

4f-2

Which of the following represents "10 less than n"?

Answers

Answer:

n - 10

Step-by-step explanation:

10 is less than n so subtract 10 from n

PLZ HELPP
Q: Nitrates are organic compounds that are a main ingredient in fertilizers. When those fertilizers run off
into streams, the nitrates can have a toxic effect on
fish. An ecologist studying nitrate pollution in two
streams measures nitrate concentrations at 42 places on Stony Brook and 42 places on Mill Brook. The parallel dotplots display the data.


1. Explain what the dot above 12 in the Stony Brook graph represents.


Answers

By looking at the dot graph, we can see that the single dot above 12 in the Stony Brook graph, means that the ecologist find that in one of the 42 places measured in the Stony Brooks lake, the nitrate concentration was 12 mg/L

To understand this, first I want to give a brief explanation of how these graphs work.

You know that the ecologist did study the Nitrate pollution at 42 places in two lakes.

Each of these 42 places is represented with a dot in the corresponding graph.  Now looking at the graph, the position of the dots represents the nitrate concentration (you can see it in the horizontal axis) on one of these 42 places (42 dots for 42 places).

So, having a single dot above 12 in the Stony Brook graph, means that the ecologist find that in one of the 42 places measured in the Stony Brooks lake, the nitrate concentration was of 12 mg/L

If you want to learn more, you can read:

https://brainly.com/question/16354226

Find the distance between the two points rounding to the nearest tenth (if necessary).
(5,-5) and (8,-8)

Answers

Answer:

4.2

Step-by-step explanation:

d=sqrt[(x1-x2)^2+(y1-y2)^2]

d=sqrt[(5-8)^2+(-5+8)^2]

d=sqrt[(-3)^2+(3)^2]

d=sqrt[9+9]

sqrt18=4.24

9. 6(0.4 +0.3) =
I need it now!!!!!
:)

Answers

Answer:

4.2

Step-by-step explanation:

0.4+0.3=0.7

0.7x6=4.2

Answer:

4.2

Step-by-step explanation:

6(0.4+0.3)

=> 6(0.7)

=> 6 x 0.7

=> 4.2

Which fractions are equal to 0.375?

Answers

The fraction that is equal to 0.375 is 3/8.

Hope this helps! :)