Square ABCD has diagonals AC¯¯¯¯¯

and BD¯¯¯¯¯

. What is m∠ABD

A

180º

B

90º

C

45º

D

360º

Answers

Answer 1

Answer:

option (c)

Step-by-step explanation:

Given,

ABCD is a square.

AC and BD are diagonals

We know that,

Sides of the square make 90 degrees with each other.

And Diagonals bisect the opposite angles of the square.

Now,

[tex]\angle ABD = \dfrac{\angle ABC}{2}[/tex]

[tex]\angle ABC = 90^\circ[/tex]

[tex]\angle ABD = \dfrac{\angle ABC}{2}[/tex]

[tex]\angle ABD = \dfrac{90^\circ}{2}[/tex]

[tex]\angle ABD = 45^\circ[/tex]

Hence, option (c) is correct.


Related Questions

use the quadratic formula to solve for x. 3x^2+9x+4=0

Answers

Answer:

x=−3/2 +1/6√33 or  x=−3/2 + −1/6√33

Step-by-step explanation:

Let's solve your equation step-by-step.

3x2+9x+4=0

For this equation: a=3, b=9, c=4

3x2+9x+4=0

Step 1: Use quadratic formula with a=3, b=9, c=4.

x=−b±√b2−4ac/2a

x=−(9)±√(9)2−4(3)(4)/2(3)

x=−9±√33/6

what are the next 3 terms of the sequence-3, -7, -11, -15?​

Answers

Answer:

-19,-23,-27

Step-by-step explanation:

When looking at the original sequence you can see that it decreases by 4 every number, so just keep subtracting 4 to get the next numbers.

Answer: -19, -23, -27

Step-by-step explanation:

<33

what's the quotient of 35.86÷2.2​

Answers

Answer:

The answer to your question is 16.3.


Given R'S'T'U' is a dilation of RSTU, find the scale factor of dilation.

Answers

Answer:

The scale factor of a dilation is 3.

Step-by-step explanation:

Given the length ST of the rectangle RSTU

The length ST of the rectangle = 8 units

It is clear that the corresponding length S'T' = 23 is 3 times the length of the original length ST = 8

i.e.

S'T' = 3(ST)

S'T' = 3(8)      ∵ ST = 8

S'T' = 24

It indicates that the RSTU has been dilated by a scale factor of 3.

As the scale factor 3 > 1, it also indicates that the dilated rectangle R'S'T'U is enlarged.

Therefore, the scale factor of a dilation is 3.

The population of a small town is changing at a rate of —255 people per year. How long will it take for the change in population to be —2,040 people?

Answers

Answer:

Solution in photo

Step-by-step explanation:

What is 6/-1 expressed as an integer?

Answers

Answer:

-6

Step-by-step explanation:

A kukura puzzle on my math homework plz help

Answers

is there a picture?

Answer:

i have no clue ngl but online theres websites that will solve them for you

Step-by-step explanation:

if you want a link lmk lol

A pipe is leaking in the school bathroom. It has leaked 3 gallons of water in 6 hours.
COP=
HELPP PLZ

Answers

Answer:

It leaks half a gallon each hour.

Step-by-step explanation:

Answer:

Call the plumber

Step-by-step explanation:

If the school people refuse, make a petition. Ask around if they want a new pipe or fix it and collect their signatures. If the school still refuses, you can report them to the cops. If this was a question, it leaks 1/2 gallon per hour.

Linda needs to have her car towed. Little Town Auto charges a flat fee of $75 plus $2 per miletowed. Write a function expressing Linda's towing cost, C, in terms of miles towed, x. Find thecost of having a car towed 14 miles.

Answers

Multiple 14•2=28 then add 75+28=103 she will Pay 103

The cost of having a car towed 14 miles is $103.

To express Linda's towing cost, C, in terms of miles towed, x, we can use the given information that Little Town Auto charges a flat fee of $75 plus $2 per mile towed.

The function for the towing cost, C, can be written as:

C(x) = 75 + 2x

Where x represents the number of miles towed.

To find the cost of having a car towed 14 miles, we substitute x = 14 into the function:

C(14) = 75 + 2(14)

C(14) = 75 + 28

C(14) = 103

Therefore, the cost of having a car towed 14 miles is $103.

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Is this correct?
:'(

Answers

Answer:

I think that's right cus I did this test

Describe the relationship between the two quantities. WILL GIVE BRAINLIEST NO JOKE ANSWERS PLEASE..

Answers

Answer:

Between the two quantities, the sales have a longer increase rate for dollars than the bicycle has for speed, and the bicycle travel had a good speed rate, but slowed down the increased again.

Step-by-step explanation:

Jerry has a garden that has a length of 30 feet and a width of 10 feet. Fertilizer is on sale for $2 per bottle. If each bottle covers 25 square feet, how much will it cost to fertilize the whole garden?

Answers

Answer:  $50

Step-by-step explanation:

30 × 10 = 40 ft²  [garden area]

40 ÷ 25 = 1.6

1.6 ≈ 2

For the area of the entire garden, you need to buy two bottles of fertilizer.

25 × 2 = 50        [fertilization cost for the whole garden]

Mark tried to pour 36 ounces of tea into 3 cups. after filling the cup to the top, there were still 13.5 ounces left in his tea pot. if each cup is the same size how much is in the tea cup? HELP PLEASE!

Answers

Answer:

its 12

Step-by-step explanation:

12 oz

Answer:

22.5/3

Step-by-step explanation:

Hey, the idea is to set up an equation that you can solve

36 ounces of tea = 3 cups(some ounces of tea) + 13.5 ounces left

Now just solve for how much tea is in each cup.

36-13.5 = 3(X)

3X = 22.5

x = 22.5/3

This is the one i need help with help and explain

Answers

Answer:

Step-by-step explanation:

count all the full squares...  12

and add 1/2 a square for the angled one

12.5  :)  or 12  1/2

Answer: 12.5 sq units

Step-by-step explanation:

Make two triangles (big and small triangle) and one rectangle. ( kinda like what's in the pic)

Area of big triangle:

b = 3  h = 3

1/2 x 3 x 3 = 4.5 sq units

Area of small triangle:

b = 2  h = 2

1/2 x 2 x 2 = 2 sq units

Area of rectangle:

l = 3   w = 2

3 x 2 = 6 sq units

Area of the figure: A. of rect. + A. of s. tri. + A. b. tri.

6 + 2 + 4.5 = 12.5 sq  units

what does b equal. 2/3b +19=35

Answers

2/3b + 19 = 35

          -19    -19

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

2/3b  =  16

÷2/3    ÷2/3

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

b  =  24

20 points


Determine whether the statement is true or false. If the statement is​ false, make the necessary​ change(s) to produce a true statement.


To solve the system below by substitution, replace y in the second equation with 7−6x.


6x−y=7


2x+y=5


This statement is true.


This statement is false. To solve the system by​ substitution, replace x in the second equation with 7−6x.


This statement is false. To solve the system by​ substitution, replace y in the first equation with 7−6x.


This statement is false. To solve the system by​ substitution, replace y in the second equation with 6x−7.

Answers

Answer:

To solve the system below by substitution, replace y in the second equation with 7−6x.

==> False

This statement is false. To solve the system by substitution, replace x in the second equation with 7−6x.

==> False.

This statement is false. To solve the system by substitution, replace y in the first equation with 7−6x.

==> False

This statement is false. To solve the system by substitution, replace y in the second equation with 6x−7.

==> True.

From the first equation, 6x-y=7

y= 6x-7

Answer: This statement is false. To solve the system by​ substitution, replace y in the second equation with 6x−7.

answers for both boxes please ​

Answers

Answer:

(x,y)=(4,-1)

Step-by-step explanation:

[tex]hope \: it \: helps[/tex]

Divide £ 45 among 3 person so that their share are in the ratio 4:5:6

Answers

Answer:

12, 15, 18

Step-by-step explanation:

4x+5x+6x=45

15x=45

x=3

4x=12, 5x=15, 6x= 18

Courtney needs to find 2,495 ÷ 48. In which place should she write the first digit of the quotient?
A. Ones
B. tens
C. Hundreds
D. Thousands

Answers

Answer:

Tens

Step-by-step explanation:

The 5 in 51 should be above the nine

Answer:

B.

Step-by-step explanation:

2,495 ÷ 48 is 51.97

the tens is the largest place value so thats where you would start

what is 10 x 10 -9x 6 + 7 first to answer will get brainlyest

Answers

10 * 10 - 9 * 6 + 7
= 100 - 54 + 7
= 53
So, the answer to this question is 53

transforming quadratic graphs

Answers

Answer:

f(x) = 3(x - 2)² + 4

OR  

f(x) = 3x² - 12x + 16

Step-by-step explanation:

Vertex form of a parabola:

y = a(x - h)² + k

Standard form of a parabola:

y = ax² + bx + c

Let's find the vertex of this parabola.

(h, k) → (2, 4)

In order to find the a-value (vertex form), let's use another point besides the vertex on the parabola.

Using (3, 7) for (x, y), let's substitute this point and the vertex (2, 4) for (h, k) into the vertex form equation and solve for a.

7 = a[(3) - (2)]² + 4

Simplify using PEMDAS.

7 = a(1)² + 47 = a + 4

Subtract 4 from both sides.

a = 3

Now we have (h, k) and a of the vertex form.

y = a(x - h)² + k  → y = 3(x - 2)² + 4

In order to convert from vertex to standard form, simplify the equation by FOILing.

y = 3(x - 2)² + 4y = 3(x² - 4x + 4) + 4

Distribute 3 inside the parentheses.

y = 3x² - 12x + 12 + 4

Combine like terms.

y = 3x² - 12x + 16

Therefore, we have the answer:

Vertex form:

f(x) = 3(x - 2)² + 4

Standard form:

f(x) = 3x² - 12x + 16

tom goes on hoilday south africa

Answers

Answer:

Yes, good for him. lol

Step-by-step explanation:

Answer:

what he do there?

Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!

Answers

Answer:

1-yes rhombus

2-no rhombus

3-yes rhombus

Please help 0.8t+0.6t-t

Answers

Answer:

0.4t

Step-by-step explanation:

1.4t-t=0.4t

Hope this helps :)

Answer:

0.4t

Step-by-step explanation:

0.8t + 0.6t = 1.4t

1.4t-1t=0.4t

A city stretches for 480,000 meters in its greatest dimension. The mayor is having a model of the city created. The
model will be 100,000 times smaller than the actual city. How big will the model be in its greatest dimension?

Answers

Answer:

4.8

Step-by-step explanation:

took test

The model of the city would be 4.8 meters in its greatest dimension.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

A city stretches for 480,000 meters in its greatest dimension.

And, The model will be 100,000 times smaller than the actual city.

Hence, To find out the size of the model in its greatest dimension, we need to divide the actual size of the city by the scale factor.

Therefore, the size of the model in its greatest dimension would be;

⇒ 480,000 meters ÷ 100,000

⇒ 4.8 meters

Thus, the model of the city would be 4.8 meters in its greatest dimension.

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solve the equation and show the work please

Answers

X will be -1, Y is -5

what is 1256x - 14x + 16x simplified

Answers

Answer:1

1258

Step-by-step explanation:

Do like terms.

Answer:

The answer was 1258

Step-by-step explanation:

1256x - 14x + 16x

add similar elements = 1256x - 14x + 16x

1258

Which two properties characterize an air mass?

Answers

Answer:

Step-by-step explanation: Air masses are given a two-part name that describes the humidity and temperature characteristics of the region where they form

Answer:

Air masses have fairly uniform temperature and moisture content in horizontal direction (but not uniform in vertical).

Step-by-step explanation:

Looked it up

The diagram shows the governing system of a municipal government.



What does the diagram show about the strong mayor system?

The city council is elected and the mayor is not.
The mayor is elected and the city council is not.
The mayor has more power than the city council.
The city council shares equal power with the mayor.

Answers

Answer:

where is the diagram

Step-by-step explanation:

?

Answer:

C !!!   THE MAYOR HAS MORE POWER THAN THE CITY COUNCIL !!!

Step-by-step explanation:

What is an equation of the line that passes through the points (-7, -7) and (-7, 4)

Answers

Answer:

x=-7

Step-by-step explanation:

y=mx+c

m=rise over run

m=0

x=-7

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