Figure ABCD is a parallelogram. Is triangle ADB congruent to triangle CBD? Show or explain your reasoning
Answer:
yes it's congruent.
Step-by-step explanation:
in a parellelogram, all sides and angles are equal.
ΔADB is congruent to ΔCBD.
The reasoning is given below.
What is a parallelogram?A parallelogram is a quadrilateral that has two pairs of parallel sides.
In a parallelogram, opposite sides and angles are equal.
The adjacent angles add up to 180 degrees.
We have,
A parallelogram ABCD.
This means,
AD is parallel to BC
AB is parallel to CD
∠A = ∠C
BD is the diagonal of the parallelogram.
Now,
ΔADB and ΔCBD
AB = CD ( given )
∠A = ∠C (given )
∠ADB = ∠CBD ( given )
∠ABD = ∠BDC ( alternate angles )
ΔADB ≈ ΔCBD
Thus,
ΔADB is congruent to ΔCBD.
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What to use? Pick two points from the table and
use the slope formula to find the slope.
Example: The table below has a constant rate of
change. Find the slope.
Х
Y
- 1
4
0
6
1
8
2
10
3
12.
4.
14
Answer:
The slope is 1/2
Step-by-step explanation:
AS seen in the graph I provided you can see that the points are increasing by 1/2
A car is traveling at a rate of 10 meters per second in a 20-mile-per-hour speed limit zone.
22.3694
Step-by-step explanation:
each mps is 2.23694 x 10 = 22.3694
A store sells a shirt that is discounted by 10%. A coupon is used for an additional 10% off the discounted price.
What is the total percentage discount on the shirt? PLEASEEEE HELPPPP
Answer:20%
Step-by-step explanation: 10% because the shirt was already discounted and another 10% from the coupon
A store sells two types of toys, A and B. One unit of toys A yields a profit
of $2, while a unit of toys B yields a profit of $3. The store owner, Anthony, estimates that no more than 2000 toys will be sold every month. Anthony pays $8 and $14 for each one of toy A and B respectively. He also does not plan to invest more that $25,000 in inventory of these toys. Identify the variables.
x = profit
y = toys
x = Toy A
y = Toy B
x = Toy A
y = profit
x = Toy B
y = Toy A
Answer:
Step-by-step explanation:
a b
-3 * f(-8) + 7 * g(2)
Answer:
-2(-12-7 g)
Step-by-step explanation:
hope this helps :)
Simplify the following expression. 7^-5/6*7^-7/6
Answer:2.0068782e-12
Step-by-step explanation:
Kyle has $200 to spend on a camera and a camera case. If he wants to spend three times as much on his camera as on the case, what is the most he should spend on the camera case?
Answer:
$50
Step-by-step explanation:
I took $200 divided by 4 (he wants to spend 3 times as much) so he would spend $50 on case and $150 on camera
Tiffany ate 1/4 of a pizza. If there were 16 slices of pizza to begin with, how many slices did Tiffany eat?
Answer:
Tiffany ate 4 slices of pizza
Step-by-step explanation:
1/4 of 16 is 4
Tiffany ate 4 slices of pizza.
What is fraction?" Fraction is a representation of a part of whole object which is divided into equal parts."
According to the question,
Total number of pizza slices = 16
Part of pizza ate by Tiffany = 1 / 4
Therefore,
Number of slices Tiffany ate = ( 1/ 4) of 16
= (1 / 4) × 16
= 4 slices of pizza
Hence, Tiffany ate 4 slices of pizza.
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GEOMOTRY PLS HELP i got little time left
Answer:
Hope this solution helps you
um help again. i’m terrible with math so an answer would really help thxs :)
Answer:
20
Step-by-step explanation:
skip count by 2
What is the perpendicular slope of the given equation. y=4x-2
2. Which property is being used in the second line?
line 1: (4.5.-1). -6
line 2: 4.5 .(-1.-6)
line 3: 4.5 .6
line 4: 27
O A. Distributive
O B. Commutative
O C. Associative
O D. Additive Inverse
Answer:
C associative to associate both of them
A plumber charges $55 for service call, plus $35 per hour. If the plumber’s bill was $160 then how many hours was he there
Answer:
4:50 hour
Step-by-step explanation:
If it only for the hours he was there you will do 35/160 4:50
Which statement most reasonably explains the hours when zero calls were received? Medera turned the phone off while playing in a soccer game. Medera's phone can only receive 22 calls a day. Medera only receives calls in clusters. Medera lost her phone for two hours.
Answer:
Medera turned the phone off while playing in a soccer game.
Step-by-step explanation:
From the possible scenarios provided the one that would indicate this would be when Medera turned the phone off while playing in a soccer game. This is because since her phone was off it was not getting any phone signal which means that no incoming calls would have been received during that time. When Medara lost her phone for two hours, even though she did not have it on her the phone was still on and connected to a network which means that the calls were coming in.
*How can I find the sum of -5 + 12 using a vertical number line? *
A. Start at 5 and move 12 units down. -5 + 12 = -7
B. Start at 12 and move 5 units up. -5 + 12 = 17
C. Start at 5 and move 12 units up. -5 + 12 = 17
D. Start at -5 and move 12 units up -5 + 12 = 7
Draw a line representing the "rise" and a line representing the "run" of the line. State
the slope of the line in simplest form.
HELP PLEASE!
Find the zeros of the polynomial function and state the multiplicity of each.
f(x) = 3(x + 9)2(x - 93
A) 4, multiplicity 1; -9, multiplicity 3; 9, multiplicity 3
B)4, multiplicity 1; 9, multiplicity 1; -9, multiplicity 1
C)-9, multiplicity 3; 9, multiplicity 2
D)-9, multiplicity 2; 9, multiplicity 3
Be first to answer! :)
Answer:
2x + 200 = 6x + 120
Step-by-step explanation:
Super-Clean house cleaning company: 2x + 200
Power Bright: 6x + 120
Now, they have to be equal because we are trying to find the equation for total charges.
So, your equation would be 2x + 200 = 6x + 120.
Hope this helps!
Answer:
Step-by-step explanation:
Let the number of linear feet = x
Let the total cost = y
Condition One
y = 200 + 2x
Condition Two
y = 120 + 6x
Now you want the ys to be the same.
200 + 2x = 120 + 6x
7th GRADE WORK!!! ILL BRAINLIST!!!
Answer:
I think the answer is D
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
1/20=0.05
12*0.05=3/5
How many solutions exist for the given equation?
0.75(x + 40) = 0.35(x + 20) + 0.35(x + 20)
zero
one
two
infinitely many
Answer:
its b lol
Step-by-step explanation:
jus got it right
There is only one solution which is x = -370 to the given equation 0.75(x + 40) = 0.35(x + 20) + 0.35(x + 20) option B is correct.
What is a linear equation?A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.
We have a linear equation in one-variable:
0.75(x + 40) = 0.35(x + 20) + 0.35(x + 20)
0.75(x + 40) = 0.7(x + 20)
75(x + 40) = 70(x + 20)
75x = 70x - 1600
x = -370
Hence, there is only one solution which is x = -370 to the given equation 0.75(x + 40) = 0.35(x + 20) + 0.35(x + 20) option B is correct.
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A furniture store buys a couch for $800. They mark up the price by 30%. At what price does the furniture store sell the couch?
A. $240
B.$560
C.$1040
D.$1360
what does “ z “ equal in this equation z + 18 = 26
Answer:8
Step-by-step explanation:
Answer:
z = 8
Step-by-step explanation:
you have to work it backwards. 26-18=8
Isaac bought 18 boxes of cereal. This is 30% of the total boxes at the store. How many total boxes of cereal were at the store?
Answer:
60
Step-by-step explanation:
30% of total boxes at the store is equal to 18
so
[tex](30 \div 100 ) \times x = 18 \\ x = 18 \times( 100 \div 30) = \\ 18 \times (10 \div 3) = \\ 6 \times 10 = 60[/tex]
The 18 boxes of cereal Isaac purchased. This represents 30% of all the boxes in the store then total boxes of cereal at the store exists 60.
What is meant by percentage?Rather than being expressed as a fraction, a percentage is a piece of a whole expressed as a number between 0 and 100. Nothing is zero percent; everything is 100 percent; half of something is 50 percent; and nothing is zero percent. To exstimate a percentage, you divide the portion of the whole by the whole itself and multiply by 100.
%, which is a relative figure used to denote hundredths of any quantity. Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.
The total no of boxes = y × 100/x
Given x = 30%
y = 18 boxes
Total boxes at the store = 18 × 100/30 = 60
Therefore, the total boxes of cereal at the store exists 60.
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Find three angles coterminal to an angle of 1 radian
Answer: Coterminal Angles are angles who share the same initial side and terminal sides. Finding coterminal angles is as simple as adding or subtracting 360° or 2π to each angle, depending on whether the given angle is in degrees or radians. There are an infinite number of coterminal angles that can be found?
Step-by-step explanation:
Its a two step equation x−17/3=−3
Answer:
x=8/3
hope this is right
Select the graphs that show a proportional relationship between x and y.
is there any graphs that you see in the question? if so put a photo of them so i know what your seeing.
HELP FAST! I need help with this math problem. A, B, C or D?
Answer:
d
Step-by-step explanation:
Name a fourth point in plane TUW.
Answer:
Y
Step-by-step explanation:
i think its Y
HELP HAVING BAD DAY
Find the value of b if the graph of the equation y=−5x+b goes through the G(4, 3) point.
Answer:
b = 23
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Step 1: Define
y = -5x + b
G(4, 3)
Step 2: Find y-intercept b
Substitute point: 3 = -5(4) + bMultiply: 3 = -20 + bAdd 20 to both sides: 23 = bStep 3: Write linear equation
y = -5x + 23
Answer:
The answer is y=-5x+21.5 --- B=21.5
Step-by-step explanation:
Pls Mark Brainliest