The proof shows that opposite angles of a parallelogram are congruent. Given: ABCD is a parallelogram with diagonal AC. Prove: ∠ BAD ≅ ∠ DCB What is the missing reason In this partial proof? Question 3 options:
ASA Substution Angle Angle Postulate Alternate Interior Angles are Congruent
Answers
A parallelogram is a figure which has its opposite sides to be equal and parallel. The missing reason in the proof is:
B. Substitution Angle Angle Postulate.
A parallelogram is a type of quadrilateral that has its opposite sides to be equal and parallel. The sum of its internal angles is [tex]360^{o}[/tex].
To prove that ∠ BAD ≅ ∠ DCB, we have:
Given parallelogram ABCD;
<BAC ≅ <ACD (alternate angle theorem)
<DAC ≅ <ACB (alternate angle theorem)
<BAC + <DAC = <BAD
Also,
<BCA + <DCA = <BCD
Therefore,
<BAD ≅ <DCB (Substitution Angle Angle Postulate)
Thus, the missing reason in the partial proof is:
option B. Substitution Angle Angle Postulate
A sketch is attached to this question for more clarifications.
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Related Questions
A fourth of the product of 13 and a number M
Answers
Answer:
[tex]\frac{13m}{4}[/tex]
Step-by-step explanation:
"the product of 13 and a number M" should be written as 13m.
To get a fourth of the produce we would need to divide it by four.
A fourth of the product of 13 and a number M should be [tex]\frac{13m}{4}[/tex] .
Hope this helps.
Rearrange v=u+at to make t the subject of formula.
A. t=(u-v)/(a)
B. t=(v-u)/(a)
C. t=(u+v)/(a)
D. t=(v+u)/(a)
Answers
Answer:
t=(v-u)/a
hope it will help you
the length of 2/3 a rope is (4u-5) inches Express the total length of the rope in terms of u
Answers
Answer:
6u - 15/2 inches
Step-by-step explanation:
(2/3)rope = 4u - 5
multiply both sides by 3/2
rope = 6u - 15/2
Which expression is an equivalent expression for 2(6y – 4)?
A. 8x – 2
B. 12y – 8
C. 8y
D. 12y + 4
Answers
Answer:
B.
Step-by-step explanation:
Because you have to multiply 6y by 2 that is 12y and you have to multiply -4 by 2 that is - 8, you put it together and it's 12y - 8.
X2-7x-34=10 solve please
Answers
Answer:
x = 11
x = -4
Step-by-step explanation:
negative three over eight divided by five over nine..
Answers
Answer:
- 27/40
Step-by-step explanation:
What are the values of each variable?
Answers
y is 63
z is 85
explanation-
x + 63 = 130 (exterior angle theorem)
-63 -63
x = 67
y and 63 are vertical angles so they are equal.
63 + 85 + z = 180 (triangle sum theorem)
148 + z = 180
- 148 -148
z = 32
Question 6 of 10
Which graph or graphs appear to show a sinusoid?
A. I only
B. I and II only
C. Il only
D. III only
Answers
Answer: B. I and ll only
Step-by-step explanation:
The graph appear to show a sinusoid is Graph I and II only.
What is Sinusoidal function?A smooth, repeating oscillation characterises a sinusoidal function. Sine is an oscillation that is smooth and repeated, thus the name "sinusoidal." A pendulum swinging, a spring bouncing, or a guitar string vibrating are a few examples of commonplace objects that can be described by sinusoidal functions.
A sinusoidal function has a smooth periodic graph as its representation.
The graph repeats itself at every predetermined interval and is continuous along the x-axis.
We can tell from the graph that has been given to us that it is a sinusoidal graph || since it resembles a graph of sines.
Moreover, since graph I|I is not continuous, it cannot be a graph of sinusoidal graph.
Moreover, graph I represents a sinusoidal graph because it resembles a sine function graph.
Learn more about Sinusoidal function here:
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HELP PLS! At a raffle, 100 tickets are sold for 1 prize of $100 and 3 consolation prizes of $20. What prizes should the tickets be sold for if the goal is to make the raffle a fair game?
Answers
Step-by-step explanation:
I assume "fair game" means that there is no profit and the expenses are equal to the income or sales.
we have clear expenses :
1× $100
3× $20
that is in total : $160
now we need to make sure that we generate exactly $160 by selling the tickets.
we have 100 tickets that should lead to $160.
how much should 1 ticket cost ?
well, 160/100 = $1.60
solve for b please. last one 33 points
Answers
Answer:
32
Step-by-step explanation:
6^2= b^2 + 2^2
b^2 = 36- 4
b^2= 32
b= √32
Answer:
√32
Step-by-step explanation:
The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2 , is used to find the length of any side of a right triangle.
6² - 2² = b²
36 - 4 = b²
32 = b²
Express each ratio as a fraction in the simplest form:
8dm to 3.2 m and 0.3k to 500 m
Answers
Answer:
1/4, 3/5
Step-by-step explanation:
0.8/3.2=8/32=1/4
0.3/0.5=3/5
Read the excerpt from the poem "Hide and Seek":
(21) I examine my hideout, the contours of the leaves,
(22) The blades of grass, a crawling caterpillar.
(23) The minutiae fascinate me, a world within my world.
(24) One touch from me, and the caterpillar lies curled.
(25) Isn't this a metaphor for life?
(26) I'm in a game within another game.
(27) We're all fascinated by ourselves, and our own life.
(28) How often do we acknowledge others' trouble and strife?
How does the point of view influence the description in lines 22-28?
A deeper connection is made and uses the setting to relate to life by the speaker.
A quick description of the hiding place is given at the end of the game by the speaker.
The other children's hiding spots are described by someone, not in the poem.
The setting is being described by someone who was not playing the game.
Answers
Answer:
A
Step-by-step explanation:
Help.....Me...........PLEASE
Answers
Answer:
~corresponding angles
~congruent
~7x-10=6x so x=10
~60⁰ and 60⁰
help me with this guys
Answers
Let y = cos⁻¹(x), so that cos(y) = x.
For some angle y between 0 and π, cos(y) takes on some value between -1 and 1.
For the y in this range, we have cos(y) = -1/2 exactly when y = 2π/3.
Then
tan(cos⁻¹(-1/2)) = tan(2π/3) = sin(2π/3)/cos(2π/3) = (√3/2)/(-1/2) = -√3
URGENTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTT
Answers
Answer:
I don't think soo that it make a function
So the answer is A
She ran 415 miles on Monday.
She ran a different distance on Tuesday.
She ran a total of 712 miles on both days
Answers
Answer:
she ran 297 miles on tuesday
Step-by-step explanation:
Answer:
Distance ran on Tuesday: 297 miles
Step-by-step explanation:
total distance ran = distance ran on Monday + distance ran on Tuesday
⇒ 712 = 415 + x
⇒ 712 - 415 = x
⇒ 297 = x
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST
Answers
Answer:
5
Step-by-step explanation:
move constant
x+7 ≥ 12
subtract
x≥ 12-7
solution
x ≥ 5
table value equation for y=2x + 4
Answers
Answer:
below
Step-by-step explanation:
All we need to do is substitute the x values given in the table to find each value of y thats blank.
When x = -1,
y = 2(-1) + 4
y = -2 + 4
y = 2
When x = 1,
y = 2(1) + 4
y = 2 + 4
y = 6
Whe x = 2,
y = 2(2) + 4
y = 4 + 4
y = 8
Best of Luck!
what is the approximate area of a circle with a radius of 11m?
Answers
-2/9 as a decimal help
Answers
Answer:
-.222
Step-by-step explanation:
Hey there!
To find the decimal form of a number you have divide the numerator (top number) from the denominator (bottom number) and you should have your result then
a / b
= a ÷ b
= result
Equation: -2/9
= -2 ÷ 9
= -0.222222
Answer: -0.222222
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Find the vertex and the axis of symmetry.
Answers
Answer:for the vertex I believe it is y-9 and x-2 for axis of symmetry
Step-by-step explanation:
Answer:
a. Downwards
b1. x intercept = (-4,0) (8,0)
b2. Y intercept (0,8)
c. Vertex (2,9)
d. Axis of symmetry 2
Step-by-step explanation:
share 5,000 in the ratio of 1:2:3:4
Answers
Answer:
500 : 1000 : 1500 : 2000
Step-by-step explanation:
sum the parts of the ratio , 1 + 2 + 3 + 4 = 10 parts
Divide the amount by 10 to find the value of one part of the ratio
5000 ÷ 10 = 500 ← value of 1 part of the ratio , then
2 parts = 2 × 500 = 1000
3 parts = 3 × 500 = 1500
4 parts = 4 × 500 = 2000
5000 = 500 : 1000 : 1500 : 2000 in the ratio 1 : 2 : 3 : 4
1:2:3:4 10
500:1000:1500:2000 5000
Steps:
1+2+3+4=10
5000 divided by 10= 500
500x1=500
500x2=1000
500x3=1500
500x4=2000
So the final answer is
500:1000:1500:2000
Meshal earns $750 per week. He has 1/5 of his income withheld for federal taxes, 1/15 of his income withheld for state taxes, and 3/25 of his income withheld for medical coverage. How much income is left each week after those deductions?
Answers
Answer:
$460 is the Income Left.
Step-by-step explanation:
1/5 of $750 is $150 so after Federal Taxes he has $600
1/15 of $750 is $50 so after State Taxes he has $550
3/25 of $750 is $90 so after Medical Coverage he has $460
Therefore after the Income that’s left after those deductions would be $460.
Solve the slope for the table.
Answers
Answer:
The slope is 0
Step-by-step explanation:
All y-values are equal to 5 meaning the graph is a straight horizontal line. Slope is the rate at which a graph increases or decreases. Seeing as this graph doesn't do so, the slope is 0.
A group of friends were working on a student film that had a budget of $1200. They use 63% of their budget on equipment. How much money did they spend on equipment?
Answers
Answer:
$756
Step-by-step explanation:
To find the percentage of a number just move the percentage amount decimal over two spaces and multiply like so
63%=.63
.63 x 1200
Systems of elimination for
2w-3q=8
3w-7q=7
Answers
i guess is by multiplying 3by the first equation and multiply 2by the second equation
write a linear equation that passes through the point (-3,3) and (9,-13)
Answers
Answer:
y=-4/3x-1
Step-by-step explanation:
[tex] \frac{ {y}^{2} - {y}^{1} }{ {x}^{2 -{x}^{1} } } [/tex]
[tex] \frac{ - 13 - 3}{9 - - 3} = \frac{ - 16}{12\ }[/tex]
y=mx+b like this:
y=-4/3x+b
To find b:
y=-4/3x+b.
You can use either (x,y) point you want..the answer will be the same
(-3,3). y=mx+b or 3=-4/3 × -3+b, or solving for b: b=3-(-4/3)(-3). b=-1.
(9,-13). y=mx+b or -13=-4/3 × 9+b, or solving for b: b=-13-(-4/3)(9). b=-1.
What is a_50 of the arithmetic sequence 45, 40, 35, 30.
Answers
Answer:
5s
Step-by-step explanation:
45-5=40
There are 14 apples in a basket. 9 of these apples are green. The rest of them are red.
What is the ratio of red apples to green apples?
Answers
Answer:
9:5 is the ratio of green to red
27 x 9^3x can be written in the form 3^k where k is an expression in terms of x. Find k
Answers
Answer:
27 x 9^3x = 3^3 x 9^3x = 3^3 x (3^3)^3x = 3^3 x 3^9x = 3 ^3+9x
3^3+9x = 3k
ln(3^3+9x) = ln(3^k)
3+9x(ln3)=k(ln(3))
k= 3(1+3x)/ln(3)
Step-by-step explanation:
ln(x^n) = n(ln(x))