Answers
∠C =36
∠ADB =72°
∠CBD =36°
∠BDC =108°
Explanation:
AB=AD then ∠ABD & ∠ADB must be equal as they share two lines that are equal so ∠ADB=72°
∠A and ∠C must also be equal (AB=BC)
∠A = 180-72-72=36°
So ∠A & ∠C=36°
∠D=180° (straight line)
So if ∠ADC=72
∠BDC=108° (180-72)
A triangle has 180° so in triangle BDC we have 108° and 36°
So remaining angle (∠CBD) =180-108-36
=36°
This tells us that triangle BDC is isosceles as it has two equal angles ∠CBD & ∠C =36°
Step-by-step explanation:
∠BAC = ∠BCA because it is an isosceles triangle
∠ADB = ∠ABD = 72° because it is an isosceles triangle
∠BAD = 180° - 72° - 72° = 36° because the sum of all interior angles in a triangle = 180°
∠BDC = 180° - 72° = 108° because it is supplementary to 72°
∠ABC = 180° - 36° - 36° = 108° because the sum of all interior angles in a triangle = 180°
∠DBC = 108° - 72° = 36° (∠ABC - ∠ABD)
since ∠DBC = ∠DCB, ΔBCD is isosceles
Related Questions
juan drove 126 miles in 3 hours. If he continued at the same rate, how long would it take to travel 336 miles?
Answers
Answer:
8 hours
Step-by-step explanation:
First you divide 126 by 3 to get the Miles Per Hour, you should get 42 Miles Per Hour, then, just divide 336 by 42 to get the numbers of hours he will have to drive, (which is 8)
Answer:
8 hours
Step-by-step explanation:
126 miles - 3 hours
336 miles - x hours
Cross multiply
126x = 336 x 3
126x = 1008
Divide both sides by 126
x = 1008/126
x = 8
The diagram shows triangle ABC.
Which statement would prove that triangle ABC is a right triangle?
a. The slope of segment AB and the slope of segment BC = 1
b. The slope of segment AB and the slope of segment BC = -1
c. The slope of segment AB is 1 and the slope of segment BC is -1
d. The distance from A to B is equal to the distance from B to C
Answers
The statement where it proved that triangle ABC is a right triangle should be option b. The slope of segment AB and the slope of segment BC = -1
Right triangle:We know that in the right triangle both the legs should be perpendicular to each other also the product of slopes of perpendicular should be - 1.
So based on this, we can say that the slope of segment AB and the slope of segment BC is equivalent to -1
Therefore, the option b is correct.
Learn more about triangle here: https://brainly.com/question/24283305
40) If you deposit $6000 in a bank account
with an interest rate of 5% compounded
monthly, find the balance after 6 years.
A) 4442.12 B) $8084.11
C) $8094.11 D) $7618.41
E) $4436.51
Answers
Answer:
The answer should be D
What are the 3 steps to solving an inequality?
Answers
Answer:
1. Clear parentheses on both sides of the inequality and collect like terms.
2. Add or subtract terms so the variable is on one side and the constant is on the other side of the inequality sign.
3. Multiply and divide by whatever constants are attached to the variable.
Step-by-step explanation:
Hope this helps :)
2. Step 2 Simplify by combining like terms on each side of the inequality.
3. Step 3 Add or subtract quantities to obtain the unknown on one side and the numbers on the other.
hope this helps
Find the area of the rectangle:
Answers
Answer:
23.74 ft² is the answer
Step-by-step explanation:
Area of a rectangle = l × b
(8 + √3) × √6
(8 + 1.73) × 2.44
9.73 × 2.44
23.74 ft²
THIS IS 16 POINTS PLEASE HELP
Answers
Answer:
C) $540
Step-by-step explanation:
180 + (120 x 0.20)(15) = $540
Answer:
C. 540
Step-by-step explanation:
120 × 15
=1800
1800 × 20%
=360
360 + 180
= 540
PLEASE HELP! 15 POINTS!
ABC and is a straight line
Work out the length of AC
Give your answer to 1 decimal place
Answers
Answer:
19.2
Step-by-step explanation:
I hope it helps you.....
Answer:
AC ≈ 19.2 cm
Step-by-step explanation:
Using Pythagoras' identity in Δ BCD to find BC
BC² + BD² = DC² , that is
BC² + 12.6² = 19.3²
BC² + 158.76 = 372.49 ( subtract 158.76 from both sides )
BC² = 213.73 ( take the square root of both sides )
BC = [tex]\sqrt{213.73}[/tex] ≈ 14.62
Using the tangent ratio in Δ ABD to find AB
tan20° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AB}{BD}[/tex] = [tex]\frac{AB}{12.6}[/tex] ( multiply both sides by 12.6 )
12.6 × tan20° = AB , then
AB ≈ 4.59
Then
AC = AB + BC = 14.62 + 4.59 ≈ 19.2 cm ( to 1 dec. place )
Solve for x
−3x ≤−18
Answers
Answer:
x ≥ 6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
-3x ≤ -18
Step 2: Solve for x
[Division Property of Equality] Divide -3 on both sides: x ≥ 6y-2x=1 does the equation describe a function
yes or no
Answers
Answer:
Yes.
Step-by-step explanation:
Can someone help me with this please
Answers
Answer:
Try C
Step-by-step explanation:
I hope that this is right
what is the surface area of this design?
Answers
Answer:
197 in
Explanation:
6.4x5=32
9x5=45
5×5=25x4=100
5×4×0.5=10×2=20
32+45+100+20=197
Answer:
197 inches squared
Step-by-step explanation:
Break down the sides,
Side 1, (front) 5*5=25
Side 2, (slanted compound shape) break down compound into triangle and square: 5*5=25, 4*5/2=10
Side 3, (slanted compound shape) break down compound into triangle and square: 5*5=25, 4*5/2=10
Side 4, (top slanted) 6.4*5=32
Side 5, (Bottom) 5*5=25
Side 6, (Back) 9*5=45
Add all together, 25+25+10+25+10+32+25+45=197
PLZ HELP ME :( you can pick both neither of one of the triangles
Answers
Answer:
a and B are same
Step-by-step explanation:
just imagine in your brain you flip the triangles so the A and B both look the same. Dont they?
PLEASE HELP
I have no idea how to do this
Answers
Answer:
1st 2nd or both's answer you want
A school band went on a trip to a music festival. The band director was admitted for free, but it cost $100 to rent a bus for the trip and $4 for each student to get into the festival. The total cost of the trip was $244. Which equation can be used to find s, the number of students that went on the trip?
Answers
Answer:
100 + 4s = 244
Step-by-step explanation:
Cost of the ticket for s students = 4s
Bus rent + cost of ticket for 's' students = $ 244
100 + 4s = 244
Answer:
i cant answer it either its so hard
Step-by-step explanation:
Please help me i need it
Answers
1)B 5.007x10 -3
2)B 103,150
Choose True or False for each equation for x = 6.
Answers
1 = False (6x6 = 36)
2 = True ( 6 + 5 = 11)
3 = True ( 6/2 = 3)
4 = True (17 - 6 = 11)
Answer:
false
true
true
true
Step-by-step explanation:
I RLLLLYYY NEED HELP ASAP ILL GI S BRAINLIEST
mr. torres ordering 250 School t-shirts to sell in a school store the t-shirts come in blue gray or red to know how many of each color to order mr. torres polled a random sample of students l.the results are in the table
Answers
Answer:17
Step-by-step explanation:
so i think it would be 17 as 5 is equivlent to 8.33 percent of 60 which is the total amount of kids and 8.33 percent of 250 is 20 but since i think ur school rounds that percentage it would 17 red shirts
The results are in the table of the 250 total T-shirts about should be red 17.
We have given that,
Mr. torres ordered 250 School t-shirts to sell in a school store the t-shirts come in blue-gray or red to know how many of each color to order Mr. Torres polled a random sample of students. the results are in the table.
What is the random sample?
A simple random sample is a subset of a statistical population in which each member of the subset has an equal probability of being chosen.
So I think it would be 17 as 5 is equivalent to 8.33 percent of 60 which is the total amount of kids and 8.33 percent of 250 is 20 but since I think your school grounds that percentage it would be 17 red shirts.
To learn more about the probability visit:
https://brainly.com/question/25870256
#SPJ2
Find the value of x in the diagram below.
Answers
Answer:
Step-by-step explanation:
I need the diagram
Which of the following uses the reciprocal property to rewrite x/5 = 72/4?
A. 5/x = 4/72
B. x/4 = 5/72
C. x/5 = 72/4
Answers
Answer:
I hope this helps.
Step-by-step explanation:
What if the driver of the Ferrari 550 was cruising along and suddenly hit the brakes to stop because she saw a cat on the road? She skidded to a stop, and fortunately, missed the cat. When she got out of the car she measured the skid marks left by the car so that she knew that her braking distance was 31 ft. How fast was she going when she hit the brakes?
Answers
A four-sided sandbox has more than two right angles, two side lengths 3 ft, and two side lengths 6 ft.
What geometric shape best describes the shape of the sandbox? Use pencil and paper. Sketch the
sandbox.
Which geometric shape best describes the shape of the sandbox?
Answers
Answer:
I would say rectangle.
Step-by-step explanation:
_ _ _ more than two right angles
l l
l l
l l 6 ft
l l
l l
l l
--- --- ---
3 ft
About how many milliliters of soda are needed to fill one can?
Answers
Answer: If its a 12 oz can the answer should be 354 mm or 354.82 mm to be exact
Step-by-step explanation:
That's the correct answer.
A fish tank in the shape of a rectangular prism holds 30 cubic feet of water .the tank has a length of 5 feet and width of 3 feet . What is the length in depth,in feet ,of the tank ? A-2
B-6
C-10
D-15
Answers
Answer:
A - 2 feet
Step-by-step explanation:
We know that the tank is a rectangular prism which means the volume is equal to length*width*depth
since the tank can hold 30 cubic feet of water, we can divide 30 by the given dimensions of the length and width to find the depth
30/5 = 6
6/3 = 2
therefore, the depth of the tank has to be 2 feet (A)
Length x Width x Depth
From the question:
Volume of the rectangular prism = 30 cubic feet
Length of the rectangular prism = 5 feet
Width of the rectangular prism = 3 feet
Depth of the rectangular prism = ?
The formula to find the Depth of the rectangular prism is :Depth = Volume / (Length x Width)
Hence,
Depth = 30 cubic feet / 5 feet x 3 feet
Depth = 30/ 15
Depth = 2 feet
The correct option is option A
To learn more, visit the link below:
https://brainly.com/question/74105
Kade has 100 flag pins. He has 221 frog pins and 10 dinosaur pins. How many flag and frog pins does Kade have?
Answers
Answer:
321
Step-by-step explanation:
because 100+221 equals 321
Hope this helped.
Round 27.2847 to the nearest a. tenth and b. hundredth. SHOW YOUR WORK AND NO LINKS PLEASE, THANK YOU!
Answers
Answer:
A. 27.3
B. 27.28
Step-by-step explanation:
You would have to round the tenth place up because of the 8 in the hundredths place, and for the hundredth place you would have to see if the thousandths place is higher than a 5 and if not don’t round up.
Answer:
a=27.3000
b=27.2800
Step-by-step explanation:
you just look at the decimal places and ignore the whole numbers for now the you look at the 2 since it is tenth the number at its back will add one to it because 8 is greater than 5 and it becomes 3 since we added 1 to 2 . our number then becomes 27.3 and the zeros you can remove them or put them it doesn't matter.
6. A leather bag is bought for Rs 18000 and sold with 15% loss. Find the selling price of the bag.
plz help
Answers
0.85=1-0.15
=18000×0.85
15300 answer
Answer:
Rs 15,300
Step-by-step explanation:
15% of 18,000 is 2700. 18,000-2700=15,300
It has been found that 6% of all automobiles on the road have defective brakes. If 5 automobiles are stopped and checked by the police, find the probability that at LEAST one will have defective brakes.
Answers
Answer: umm
Step-by-step explanation:
1/3 (x-10) = -4
what is x?
Answers
Answer:
x = -2
Explanation:
1/3 (x-10) = -4
(3) 1/3 (x-10) = (3) -4
x - 10 = -12
x = -12 + 10
x = -2
:))
Simplify by combining like terms.
3x + 4y − 2y + 7x
options:
4x + 6y
10x + 2y
10x + 6y
2y + 4x
Answers
Answer:
10x + 2y is your expression if you combine like terms.
Answer:
10X+2y
Step-by-step explanation:
PLS HELP ME WITH THIS
An express bus and local bus start out at 1rst street together. The express bus stops every 15 blocks. The local bus stops every 4 blocks. How many blocks will it be before there is a bus stop where both buses stop?
HELPPP
Answers
Answer:
Block 60
Step-by-step explanation:
15 x 4 = 60