Mathematics High School

Given: AACD is isosceles with angle D as the vertex angle. B is the midpoint of AC. AB= x + 5, BC= 2x - 3, and CD = 2x + 6. Find the perimeter of ∆ACD.​

Answers

Answer 1

Answer:

70 units

Step-by-step explanation:

Given triangle ACD

AB = BCCD = 2x + 6AB = x + 5BC = 2x - 3P = ?

Perimeter is sum of the side lengths:

P = AD + CD + AC

AD = CD because D is vertex and the triangle is isosceles

AC = AB + BC because B is midpoint of AC

Then P is:

P = 2(2x + 6) + (x + 5) + (2x -3) = 4x + 12 + x + 5 + 2x - 3 = 7x + 14

Find the value of x from the AB = BC:

x + 5 = 2x - 32x - x = 5 + 3x = 8

Then find the value of P:

P = 7*8 + 14 = 56 + 14 = 70 units

Related Questions

The distance between Dallas, TX and Houston, TX is 384 kilometers. There are approximately 8 kilometers in 5 miles. Which measurement is closest to the number of miles between these two cities?

Answers

238.6 miles between dallas and houston

Graph the following
y−2=2/3(x+4)

Answers

in the future you can go to desmos graphing calculator

Which expression is equivalent ?

Answers

Answer:

D

Step-by-step explanation:

When you do a power to a power you multiply

4 * 2/9 = 8/9

Answer:

12^8/9

Step-by-step explanation:

There are 40×5^7 chicken spread across 16×5^5 square miles of land on average number of chickens per square mile Round your answer to the nearest whole number

Answers

Answer:

63 chickens per square mile

Step-by-step explanation:

We are to calculate the average number of chickens per square mile.

Number of chickens = 40×5⁷

Number of square miles = 16×5⁵

The average number of chickens per square mile = 40 × 5⁷/16 × 5⁵

= 3125000/50000

= 62.5 chickens per square mile

Approximately to the nearest whole number is

= 63 chickens per square mile

Therefore,the average number of chickens per square mile is 63 chickens per square mile.

Parallel lines m and n are cut by transversal t. Identify if the Pair of angles are vertical or not
vertical.
∠1 and ∠4

A. Vertical
B. Not Vertical

Answers

A. Vertical

Yada yada yada

An online company clothing company sells custom sweatshirts. The company charges $6.50 for each sweatshirt and a flat fee of $3.99 for shipping. Write a linear function in the form `y=mx+b`that represents the total cost, y, in dollars, for a single order of x sweatshirts.

Answers

Answer:

y = 6.5x + 3.99

Step-by-step explanation:

Let

Total cost = y

Single order of sweatshirts = x

Each sweat shirt = $6.50

We are given the linear function =

y = mx + b

Hence:

y = $6.50 × x + $3.99

y = 6.5x + 3.99

Therefore, the linear function in the form y=mx+b that represents the total cost is given as:

y = 6.5x + 3.99


Someone please help me calculate the volume of these shapes

Answers

Answer:

A. 360 m ^2

B. 4021.2386 cm ^3

Step-by-step explanation:

A. V = w X h X l = 8 X 9 X 5 = 360 m ^3

B. V = πr2h = π·82·20 = 4021.2386 cm ^3

I hope that helps!! XD

So what is the answer to The spinner below is spun twice. What is the probability of the arrow landing on a 3 and then on an odd number?

Answers

Answer: nijja what

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

Which statement is true ?

Answers

Answer:

the second one

Step-by-step explanation:

Write 5.164 x 10^-4 in standard form.*

Answers

Answer is 0.0005164x

Easy 3rd grade mathy! ITS 100 POINTS

Answers

Answer:

3.5?

Step-by-step explanation:





May I have brainliest please I'm trying to level up!

</3 PureBeauty

Answer:

uhmm 3.2???

Step-by-step explanation:

I barely remember not gonna lie :'(

Allen is 5 years older than Cassandra. In 4 years, he will be twice as old as Cassandra was 2 years ago. Find their ages.

Answers

Answer:

C = 13, A = 18

Step-by-step explanation:

A = 5 + C

A + 4 = 2(c-2)  

5+c+4 = 2c - 4

9 + c = 2c - 4

c = 2c - 13  

-1c = -13

c = 13

A = 5 + 13  

A = 18


Find the values of v, w, x, y and z

Answers

X= 180-55-90 = 35
Y= 180-90-35 = 55
V= 90-55 = 35
W= 180-90-35 = 55
Z= 90-55 = 35

PLEASE HELP ME I WILL MARK BRAINLIEST FOR THE CORRECT ANSWER

Answers

Answer:

base 48 X 48 = 2304

triangles 0.5 X 48 X 25=600

600 X 4 = 2400

2400 + 2304 = 4704 squared inches

if Diana has three times more than her mother and her mother has 88 piles of clothes how many clothes does diana have? brainliest will be given out

Answers

Answer:

The answer would be 264 :)

Step-by-step explanation:

Write the ratio in simplest form.



The ratio of green beads : total number of beads is ???

Answers

Answer:

3:15

Step-by-step explanation:

help me pleasee i need help this is my final btw

Answers

Answer:

12 sq units

Step-by-step explanation:

height = 3

length = 4

A = l · w

A = 12

4.5m is__% of 90cm. And 90cm is ___% of 4.5m.

Pls help me! This is really hard.

Answers

You got this. Just a proportional issue once units of cm and m is converted.

1 meter is 100 centimeters (deci is 10, centi is 100, milli is 1000)

4.5 meter = 4.5 x 100 or 450 centimeters

(450/90)x100= 500%. 4.5 meters is 5 times longer than 90 cm
Cross check: 5x90=450

(90/450)x100= 20%
Cross check: .2x450=90

This has been answered before on Brainly

4.5m is 500% of 90cm

90cm is 20% of 4.5m.

The scale of this map is 1 inch = 50 miles. The ruler measures the distance between Gary, Indiana, and Traverse City, Michigan, as 3 inches. How many actual miles are between these two cities?

Answers

Answer:

150 miles

Step-by-step explanation:

Given the scale on the map using the conversion factor

1 inch = 50 miles

We are to find the equivalent miles between the cities in miles if the distace is 3inches

3inches = x

Divide both expressions

1/3 = 50/x

Cross multiply

x = 3 * 50

x = 150

Hence the actual distance between these two cities in miles is 150 miles

£1 = $1.5 dollars
Convert £20 into dollars

Answers

Answer:

$30

Step-by-step explanation:

1.5 x 20 = 30

The answer is 30 as 1.5x20 = 30

Determine the solution to the system of equations:
2y - 2x = 22
y = -4x + 1

Answers

Answer: Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:(-2,9)

Equation form: x=-2 y=9

Step-by-step explanation:

Point Form:(-2,9)

Equation form: x=-2 y=9

please help im so lost lol

Answers

Answer:

B, C, and E

Step-by-step explanation:

6(x+4)+35

B) 6x+ 6(4)+ 35 (They just distributed the 6 to the x but left the 4 undistributed)

C) 35+6(x+4) (If addition or subtraction, moving the numbers won't change the sum/difference)

E) 6(4+x)+35 (If addition or subtraction, moving the numbers won't change the sum/difference)

Answer:

I Honestly Dont Know Sorry haahahhahaha Go F ur self

Step-by-step explanation:

The difference between three times a number and eight equals negative five. What is the number?

6.3
-4.3
-1
1

Answers

Answer:

it's 1

Step-by-step explanation:

when one is multiplied by three times.it gives us three and its difference result negative five 3–8 = -5

Evaluate the expression.
(-5)(5) +5=

Answers

Answer:

Step-by-step explanation:

Here you go mate

Step 1

(-5)(5) +5  Equation

Step 2

(-5)(5) +5 Simplify

(-5)(5) +5

Step 3

(-5)(5) +5  Add and multiply them

(-25)+5

answer

-20

Please help me with this..

Answers

I believe the answer is 7.18

(01.05)
What is the equation, in slope-intercept form, of the line that passes through (0, -2)
and has a slope of -3? (5 points)
O 1) y = -3x - 2
O 2 y=-3x+ 2
O3) y = –2x+3
O 4) y = -2x - 3

Answers

Answer:

O1

Step-by-step explanation:

Slope intercept form is y=mx+b, where m is the slope and b is the y intercept.

We are given a point: (0,-2) and a slope; -3.

we can substitute the numbers into the equation above, with what we know, to find b.

-2=-3(0)+b

multiply

-2=0+b

-2=b

so the y intercept is -2.

Since we know that the slope is -3, and the y intercept is -2, the equation is y=-3x-2

Therefore O1 is your answer

Hope this helps!

Q1: Fill in the blanks:
a) The number 3.23 can be expressed as fraction​

Answers

Answer:

yes, as 3  23/100

Step-by-step explanation:

because

Answer:

I think it could be 3 23/100

Step-by-step explanation:

Solve x TN = 8 nV =x - 2?

Answers

Answer:

10

Step-by-step explanation:

STUV is a parallelogram.

TV and SU are its diagonals intersecting at point N.

Diagonals of a parallelogram bisects each other.

Therefore, TN = NV

8 = x - 2

8 + 2 = x

10 = x

x = 10

Help Please! △ABC is given with line m drawn through A parallel to BC¯¯¯¯¯¯¯¯. In the course of proving that the interior angle measures of △ABC sum to 180°, which of the following will be shown? Select the two correct answers.

∠1≅∠B

∠1≅∠C

m∠1+m∠BAC+m∠2=180°

m∠BAC+m∠C+m∠2=180°

∠2≅∠A

Answers

not sure but i thibj the second one

6x^3 -x^2-10x-3 by 2x-3

Answers

Answer:

Quotient : 3x² + 5x + 1

Step-by-step explanation:

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