Mathematics High School

Given: AB=AC m∠1=m∠2 AC=15, DC=5 Find: BD, AB

Answers

Answer 1

Answer:

AB = 15

BD = 5

Step-by-step explanation:

Statement__________________| Reason______________

1) m<1 = m<2, AB = AC | Given

2) AD = AD | Reflexive property

3) ΔABD = ΔADC | Side - angle - side

4) AB = AC = 15 | Corresponding part of congruent triangles . | are congruent

5) BD = DC = 5 | Corresponding parts of congruent triangles . | are congruent

Answer 2

Answer:

BD = 5, AB = 15

Step-by-step explanation:

AB = AC and AC = 15 (both given)

⇒ AB = 15

AB≅AC, ∠1≅∠2, AD≅AD (first two given and the last one is the common side)

⇒ ΔABD ≅ ΔACD by SAS

BD≅DC as corresponding sides

BD = DC and DC = 15

⇒ BD = 5

Related Questions

Solve each system of equations by graphing,
5. y= 4x - 1
y=-2x + 11
(2,7)
o
(-2,5)
no solution

Answers

Answer:

2,7 is correct

Step-by-step explanation:

y equal to 4x -1

put values

7 equal to 4(2)-1

7 equal to 8-1

7 equal to 7

A group of biologists are surveying the mice population in the forest. The equation N=75•3^t gives the total number of mice, N, t years since the survey began. Explain what the numbers 75 and 3 mean in this situation.

Answers

75 and three are the rate at which the total number of mice increases

help me and fast plz

Answers

Answer and Step-by-step explanation:

The second option (5d = 55)

This works because Arianna wants to divide the amount of dominos to her 5 friends. We do this by dividing 55 by 5.

d will then equal 11 (d = 11).

#teamtrees #WAP (Water And Plant)

Felipe and Makayla each tried to solve the same equation for x.

Original equation: 2x + 6= 3x - 8

The result of Makayla’s first
step was 6 = x - 8

Describe the first step Makayla made to the equation.

Answers

Hay esta la respuesta

Makayla’s solution must have looked like this:

2x + 6 = 3x - 8

2x - 2x + 6 = 3x - 2x - 8

Thus 6 = x - 8

An experiment consists of randomly selecting a marble from a bag, not replacing it, and then selecting another marble. The bag contains 3 yellow marbles and 2 white marbles. What is the probability of selecting a white marble and then a yellow marble?

Answers

Answer:

The bag contains 4 blue marbles, 3 green marbles, 7 red marbles, and 1 yellow marble. What is the probability of selecting a red marble and then a blue marble? Question 3 ... 4 blue marbles+ 3 green marbles+ 7 red marbles+ 1 yellow marble= 15 ... P(red,blue0 = 7/15 * 2/7 = 2/15 =.13333333 = 13.33%.

Step-by-step explanation:

Answer:

There are 14 total marbles. The probability of drawing a yellow marble on the first draw is 3/14. Given replacement, the probability on the second draw is the same as on the first draw, so the probability of a black marble on the second draw is 6/14. The probability of drawing first a yellow marble then a black marble is 3/14 * 6/14 = 18/196.

I NEED THIS ASAP!!! The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 5 to 4. If there were 4045 yes votes, what was the total number of votes?

Answers

Answer:

The total number of votes was 7281 .

Step-by-step explanation:

Let the number of no votes be x

yes : no

5 : 4

4045 : x

4045÷5 = 809

so,

x = 4 × 809 = 3236

3236 people voted no .

Total number of votes = 4045 + 3236

= 7281 ( Ans )

If someone catches me up on edge for math I will pay 100 dollars anyway you want it. Please someone help me! If interested email me at kanemagdalene at g mail.com

Answers

Answer:

I think it will be 50$ in total

Hannah & Sal share 24 sweets.
5
1
Hannah gets - of them. Sal gets - of them.
NO
How many sweets do they each get?
24

Answers

Answer:

Hannah = 20, Sal = 4

Step-by-step explanation:

Total number of sweets = 24

Ratio in which the sweets was shared;

Hannah : Sal = 5 : 1

Hannah gets:

Hannah = 5 / ( 5+1) * 24 = 5/6 * 24 = 5 * 4 = 20

Sal gets:

Sal = 1 / ( 5+1) * 24 = 1/6 * 24 = 1 * 4 = 4

10x + 4y = 20
13x - 4y = -66

What does x and y equal?

Answers

Answer: (-2, 10)

Explanation: Since one equation has a +4y and the other equation has

a -4y, when we add the equations together, the y's will cancel out.

So we have 23x = -46 and x = -2.

To find y, plug -2 back in for x in either of the two original equations.

I've chosen to plug -2 into the first equation to get 10(-2) + 4y = 20.

Solving from here, y = 10.

So our final answer is the ordered pair (-2, 10).

Now, check your answer.

x = -2
and
y = 10
because of how u solve it

If you follow a similar approach by drawing a line through point C that is perpendicular to and using the associated defects for ∠A or ∠B instead of ∠C, what are the resulting equations? (Do not go through the complete derivation again, just think about the result you came up with in question 9 and what similar formulas for ∠A or ∠B would look like.)

Answers

Answer:

Step-by-step enxplanation:

what is a way that i can get 3x and 2x to cancel out in this problem? i need to get - 5y = -13 and + 15y = -3 alone.

problem:
3x + 5y = -13
2x + 15y= 3

Answers

Answer:

For 3x + 5y = -13 the answer is x= -13/3 + 5y/3

and for 2x + 15y=3 the answer x= 1.5 + (-15y/2)

Step-by-step:

For 3x+5y=-13 you have to add 5y on both sides. Then you have to divide by 3 on both sides and cancel out the common factor of 3. Then you would get x= 13/3 + 5y/3.

For 2x + 15y=3 you have to subtract 15y on both sides of the equation. You should have 2x=3 + (-15y). Then divide by 2 on both sides. 3 divided by 2 is 1.5 and -15y divided by 2 is -15y/2 since 2 doesn't have the same variable. so the answer should be x= 1.5 + (-15y/2).

Please Help File Is Attached

Answers

Answer:

x=25

10= 125

Step-by-step explanation:

2/50 is the answer to find 1

so 1= 25

and x means 1

to find 10 u multiply 25 with 10

hope i help its hard to explain but hope its well explained :)

5x + 1 = 11
What is the first step?

Answers

The first step would be to subtract 1 from both sides, leaving you with 5x = 10.

Answer:

subtract 1 from both sides... then divide 5 both sides

Please help! Will mark brainliest if correct! Worth 30 points! Wont give brainliest if you're not correct.

Answers

Answer:14.7

Step-by-step explanation:

d = l^2+w^2+h^2 = 10^2+4^2+10^2≈ 14.69694cm

PLS HELP I WILL GIVE BRAINLIEST
Solve for j. -3/4j + 1/5 = 3/5

j = -1 1/5

j = -8/15

j = 8/15

j = 1 1/15

Answers

Answer:

j = -15/8

Step-by-step explanation:

Here, we want to find the value of j

-3/4j = 3/5 - 1/5

-3/4j = 2/5

4j * 2 = -3 * 5

8j = -15

j = -15/8

Find the value of x. Write your answer as a simplified radical if necessary.

Answers

Answer:

The answer is 3

This triangle is equal to the legs and also angular and by using Pythagoras then

[tex] {x}^{2} + {x}^{2} = {(3 \sqrt{2}) }^{2} \\ 2 {x}^{2} = 18 \\ then \: x = 3[/tex]

HELP??? What is the equation of the line in y=mx+b format?

Answers

Answer:

y = 1/2x - 1

Step-by-step explanation:

To find the slope, you need to find the y-intercept first (or the place the line crosses over the y-line). After you've found the y-intercept (-1), you need to find the next point that the line crosses. This line has a positive slope, so you'll want to look for the next point towards the right. The next point was 1 up and 2 over.

Answer:

y = 2/5x - 1

Step-by-step explanation:

There are a couple of different ways to figure this out, but since you have a graph, the fastest way is to count the slope, or m in the formula, by counting the rise (units up) over run (units to the right), which is 2/5. Then, find the value of b by finding the y-intercept on the graph, or -1.

x = 11 when y = 99. If y varies directly as x, find x when y = 144

Answers

Answer:

99 is 9 times 11 144 divide by 9 is 16

I'm stressing out can someone help!

Answers

Answer:

please like

Step-by-step explanation:

164-52=112

112÷8=14

so for a

the upper option

14w + 52(her savings) = 164 (bike cost)

for b

w=14

Answer:

xd nie powoem bo nie wiem xd xd xd xd xd xd x d

Skdhauajbsshjzmxjakxjxdj I’m confused

Answers

30% is the answer goodfdbyeeeee

Answer:

60% i think

Step-by-step explanation:

ASAP WHO EVER ANSWERS THIS WILL BE MARK BRANLIEST

Answers

Answer:

c. 5, all

(5 people were selected and all the spectators purchased tickets)

Answer:

Step-by-step explanation:

i am so confused please

Answers

1) 8a
2) 2x
3) 8k
4) 19.25c
5) 11y-5
6) .25x+2
7) 7t+14
8) 3.2k+5
9) z+6x
10) 3n+4p
11) 2y+2x
12) 27g-3s
13) 11m+100
14) 2w+12
15) 3b+10
16) 7a+6
17) 16n+10
18) 3y+6x
19) 15p/2
20) 3s-2t

which expression is equivalent to

Answers

Answer:

answer of this question is

option b

A = (1,5)
C = (1.75, 2.5)
B = (?)
What are the coordinates of point Bin the diagram?

Answers

Answer:

I'm sorry I can't give you an answer until i see a picture of where the mark of B is.. could you try posting a picture as well an i can answer.

Step-by-step explanation:

What is the pattern here?
1, 3, 9, 27, 81, 243

Answers

Answer:

all number are multiply by 3 ( ×3)

plz follow me

Answer:

This sequence follows a geometric pattern

Step-by-step explanation:

1 x 3 = 3

3 x 3 = 9

3 x 27 = 81

and so on

Below is a set of data about temperatures. The range of a set of data is the distance between the lowest and highest value in the set. What is the range of these temperatures
9∘C

3∘C

22∘C

-5∘C

11∘C

15∘C

Answers

I get 27 degrees C!!!!!!!!!!

A box of pencils is 5 1/4 inches wide. Seven pencils, laid side by side, take up 2 5/8 inches of the width. How many inches of the width of the box is not taken up by pencils?

Answers

Answer:

Step-by-step explanation:

5.25 - 2.625 = 2.625 inches

A hollow cylinder has solid hemisphere in one end and on the other end it is closed with a flat circular plate. The height of water is 10cm when flat circular surface is downward. Find the level of the water, when it inverted upside down, common diameter is 7cm and height of the cylinder is 20 CM.

Answers

Answer:

this will be the correct answer

Put the numbers in order from smallest to largest.

1. fifth
4.9
2. third
5.0
3. sixth
3.6
4. first
3.1
5. fourth
4.2
6. second
4.5

Answers

In order of problems/numbers - 4, 3, 5, 6, 1, 2

Answer:

First - 3.1

Second - 3.6

Third - 4.2

Fourth - 4.5

Fifth - 4.9

Sixth - 5.0

Step-by-step explanation:

Hope it helped!

2, -3, -8, -13, -18,

Answers

Answer:

Step-by-step explanation:

2, -3 , -8 , -13 , - 18 .............

This is an arithmetic sequence.

First term = a = 2

Common difference = Second term - first term

= -3 - 2 = -5

Nth term = a + (n - 1)*d

= 2 + (n - 1)*(-5)

= 2 + n*(-5) - 1 *(-5)

= 2 - 5n + 5

= 7 - 5n

n = 19,

19th term = 7 - 5*19

= 7 - 95

= - 88

n = 21,

21st term = 7 - 5*21

= 7 - 105

= -98

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