Given that ∠ADC≅∠BCD, AC⊥CD and BD⊥CD, which of the following proves that △ACD≅△BDC?
Answers
Answer:
1. ∠ADC≅∠BCD (Given)
2. AC¯¯¯¯¯⊥CD¯¯¯¯¯; BD¯¯¯¯¯⊥CD¯¯¯¯¯ (Given
)3. ∠ACD and ∠BDC are right angles(Def. of ⊥)
4. ∠ACD≅∠BDC (Rt. ∠≅Thm.)
5. CD¯¯¯¯¯≅CD¯¯¯¯¯ (Reflex. Prop. of ≅)
6. △ACD≅△BCD (ASA Steps 1, 5, 4)
△ACD and △BCD are Congruent triangles because Two angles are the same, as is a corresponding side.
What is of congruent triangle?Congruent triangles have comparable sides and angles that are equal. The symbol "≅" represents congruence.The three sides are all the same (SSS: side, side, side)Two angles are the same, as is a corresponding side (ASA: angle, side, angle)We know that two triangles are congruent if all of their sides are the same— thus side, side, side (SAS: side, angle, side). We also know they are congruent if we have a side, an angle between the sides, and another congruent side—so side, angle, side.1. ∠ADC≅∠BCD (Given)
2. AC⊥CD; BD⊥CD (Given
3. ∠ACD and ∠BDC are right angles(Def. of ⊥)
4. ∠ACD≅∠BDC (Rt. ∠≅Thm.)
5. CD≅CD (Reflex. Prop. of ≅)
6. △ACD≅△BCD
To learn more about Congruent triangles refer,
https://brainly.com/question/2938476
#SPJ2
Related Questions
Drag all of the steps necessary into the box to find the product of 2.7 x 6.4 using partial products.
2.0 X 6.0 = 12
2.0 x 4.0 = 8
2.0 x 0.4 = 0.8
0.7 x 0.6 = 0.42
0.7 x 6.0 = 4.2
0.7 X 4.0 = 2.8
0.7 X 0.4 = 0.28
Answers
Answer:
2.0 x 6.0 = 12
2.0 x 0.4 = 0. 8
0.7 x 6.0 = 4.2
0.7 x 0.4= 0.28
Step-by-step explanation:
The product of 2.7 x 6.4 = 17.28
If you add all those up in the answer I provided, they too equal 17.28.
Answer:
the correct answer is... 2
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8
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7
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6
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4
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2
0
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7
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0
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4
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28
2
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0
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6
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0
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12
Step-by-step explanation:
Solve.
6 open parentheses x space minus space 5 close parentheses squared space plus space 1 space equals space 19
Group of answer choices
5 plus-or-minus square root of 3
5 plus-or-minus square root of 10 over 3 end root
13 over 2
Answers
Translating the situation to a mathematical sentence, and solving, we find that the solutions are: [tex]x = 5 \pm 3\sqrt{2}[/tex]
The translation of the problem given is:
[tex](x - 5)^2 + 1 = 19[/tex]
Then, solving:
[tex](x - 5)^2 = 18[/tex]
[tex]x^2 - 10x + 25 = 18[/tex]
[tex]x^2 - 10x + 7 = 0[/tex]
Which is a quadratic equation with [tex]a = 1, b = -10, c = 7[/tex]. Then:
[tex]\Delta = (-10)^{2} - 4(1)(7) = 72[/tex]
[tex]x_{1} = \frac{-(10) + \sqrt{72}}{2}[/tex]
[tex]x_{2} = \frac{-(-10) - \sqrt{72}}{2}[/tex]
[tex]\sqrt{72} = \sqrt{9 \times 8} = \sqrt{3^2 \times 2^3} = 6\sqrt{2}[/tex], then:
[tex]x_1 = 5 + 3\sqrt{2}[/tex]
[tex]x_2 = 5 - 3\sqrt{2}[/tex]
The solutions are [tex]x = 5 \pm 3\sqrt{2}[/tex]
A similar problem is given at https://brainly.com/question/13094243
Solve for x: x-10= -12
Answers
Answer:
x = -2
Step-by-step explanation:
Add 10 to both sides of the equation
x−10=−12
−10+10=−12+10
Simplify
Solution:
x= -2
The linear distance around the border of a 2-dimensional shape is:
Question 12 options:
A) perimeter
B) area
C) volume
D) surface area
Answers
Answer:
A) Perimeter
Step-by-step explanation:
Answer:
A perimeter is the answer
Number of College Faculty The number of faculty listed for a variety of private colleges that offer only bachelor’s degrees is listed below. Use these data to construct a frequency distribution with 7 classes, a histogram, a frequency polygon, and an ogive. Discuss the shape of this distribution. What proportion of schools have 180 or more faculty?
Answers
Answer: Number of College Faculty The number of faculty listed for a variety of private colleges which offer only bachelor’s degrees is listed below. Use these data to construct a frequency distribution with 7 classes, a histogram, a frequency polygon, and an ogive. Discuss the shape of this distribution. What proportion of schools have 180 or more faculty? 165 221 218 206 138 135 224 204 70 210 207 154 155 82 120 116 176 162 225 214 93 389 77 135 221 161 128 310 Source
Factor completely 3xy - 3x – 2y + 2
Answers
Answer:
Step-by-step explanation:
[tex]3xy-3x-2y+2\\(y-1)(3x-2)\\Check\\(y-1)(3x-2)\\Simplify\ and\ we\ get\ our\ question\\(y)(3x)+(y)(-2)+(-1)(3x)+(-1)(-2)\\3xy-2y-3x+2[/tex]
珠ɪᴢᴜᴍɪᴿᴬᴳᴱ
What is the slope of the line that passes through (-4, 5) and (2, -3)?
Answers
Answer:
[tex]m=\frac{-4}{3}[/tex]
[tex]y=\frac{-4}{3}x -\frac{1}{3}[/tex]
Step-by-step explanation:
Use the Slope formula...
[tex]\frac{-3-5}{2-(-4)}[/tex]
[tex]\frac{-8}{6} = \frac{-4}{3}\\\frac{-4}{3} = m[/tex]
Plug the slope into the Point-Slope formula...
[tex]y -(5) = \frac{-4}{3}(x-(-4)) \\y+5=\frac{-4}{3}x +\frac{-16}{3}\\y=\frac{-4}{3}x +\frac{-1}{3}[/tex]
What is the solution to the equation 5x-7 = V3x+5?
Answers
Appreciate all the help :)
Which matrix multiplication is defined?
Answers
Answer:
c. BC
Step-by-step explanation:
It is the possible one
sas, sss, aas, or not enough information
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The given triangles are congruent by :
ASA criterionbecause they have Two Angles and a side between them equal to the corresponding Angles and side of the another triangle.
We use the analysis of variance rather than the t ratio when more than two groups are involved because: _________________
a. it is less time-consuming to make the necessary calculations.
b. it decreases the likelihood of making a Type I error.
c. the more statistical tests conducted, the more likely sampling error may cause statistically significant findings.
d. all of these answers are correct.
Answers
Explanation: I’ve taken this test before and got it right :)
The area of a rectangular field is 3400 m² and its length is 68 m. Find-
(i) its breadth.
(ii) the distance covered by a man in going 5 times around the field.
Answers
here is the answer hope it help you
If the perimeter of the rectangular field is 236, the distance covered by the man is 236* 5 = 1180
Can someone please help me with this problem
Answers
Answer:
Both of them are correct.
Step-by-step explanation:
Both of them are correct.
EQ. 1) y = -2x + 3
EQ. 2) 6x + 3y = 9
Transform EQ. 2 into its slope-intercept form, y = mx + b:
6x + 3y = 9
6x - 6x + 3y = -6x + 9
3y = -6x + 9
3y/3 = (-6x + 9)/3
y = -2x + 3 (As you can see, Equation 2 is equivalent to Equation 1's).
Given that Equations 1 and 2 are equivalent, their lines will coincide on top of each other (as if they're the same line) once graphed.
Therefore, the systems of linear equations will have infinitely many solutions.
Let's see why Charles and Destiny are both correct with their claims.
If you plug in Charles' coordinates (3, -3) in both equations,
EQ. 1) y = -2x + 3
-3 = -2(3) + 3
-3 = -6 + 3
-3 = -3 (True statement)
EQ. 2) 6x + 3y = 9
6(3) + 3(-3) = 9
18 - 9 = 9
9 = 9 (True statement)
Do the same thing for Destiny's coordinates: (-1, 5)
EQ. 1) y = -2x + 3
5 = -2(-1) + 3
5 = 2 + 3
5 = 5 (True statement)
EQ. 2) 6x + 3y = 9
6(-1) + 3(5) = 9
-6 + 15 = 9
9 = 9 (True statement)
With these calculations, it shows that both of their coordinates are solutions to the given systems of linear equations.
Justify each step and simplify the equation.
19+56(1/56)
Answers
Answer:
20
Step-by-step explanation:
19 + 56(1/56)
= 19 + 56 x 1/56
= 19 + 1
= 20
Pleasehelp!!!!!!!!!! I'll mark Brainliest!!!!!!!!!!!!!!!!
Explain if possible!
A physicist working in a large laboratory has found that light particles traveling in a particle accelerator increase velocity in a manner that can be described by the linear function -4x+y=15, where x is time and y is velocity ion kilometers per hour. Use this function to determine when a certain particle will reach 30 km/hr.
Answers
Answer:
it will take the certain particle 15/4 (unit of time) to reach 30 km/hr
Input 30 as for y and solve the equation.
Step-by-step explanation:
Since y is kilometers per hour and the question is asking for how long it takes for a certain particle to reach 30 km/hr, you input 30 for y and solve for x.
-4x + y = 15
-4x + (30) = 15
subtract 30 from both sides
-4x = -15
divide -4 from both sides
x = 15/4
it will take the certain particle 15/4 (unit of time) to reach 30 km/hr
Identify the divisor: 2844/45=63.2
Answers
Answer:2844 is divisor of 1
2844 is divisor of 2
2844 is divisor of 3
2844 is divisor of 4
2844 is divisor of 6
2844 is divisor of 9
2844 is divisor of 12
2844 is divisor of 18
2844 is divisor of 36
2844 is divisor of 79
2844 is divisor of 158
2844 is divisor of 237
2844 is divisor of 316
2844 is divisor of 474
2844 is divisor of 711
2844 is divisor of 948
2844 is divisor of 1422
2844 has 17 positive divisors
Step-by-step explanation:
My fingers...
WILL GIVE BRAINLIEST. determine the rule for the table and complete it.
Answers
Answer:
see explanation
Step-by-step explanation:
From the table
1 → - 2 ⇒ 1 - 3
2 → - 1 ⇒ 2 - 3
3 → 0 ⇒ 3 - 3
The rule is subtract 3 from the input to obtain output , then
4 → 4 - 3 = 1
n → n - 3 ← is the general rule for the table
Help help help help help help whelp
Answers
Use the same slope. Since the point intersects (0,-6), the y-intercept is 0.
Answer:
y = -2x - 12
Step-by-step explanation:
since they are asking for a parallel line, the slope will be the same:
in this case:
-2
now, we are given a point that the line goes through: (-6,0)
x is -6, y is 0
knowing all of these things, solve it:
0 = -2*(-6) + b
0 = 12 + b
b = -12
the equation of a line is y = mx +b
so:
y = -2x - 12
Can somebody answer this?
Answers
Answer:
55
Step-by-step explanation:
20-9 = 11 then 5x11=55
So then you need to use the distributive property, multiply 5 to t and 5 to -9.
Like this:
5t - 45 + 12
Then combining like terms, -45 and 12 are like terms because don’t have any letter.
5t - 33
So this it’s the answer I think that it’s correct. Hope this can help you.
help me pls asap!!!!!
Answers
The 9 pack, 1 pack = 0.52
The 4 pack is better because it's cheaper
which of the following best describes an output NEED HELP PLS
Answers
Answer:
I DO FLVS AS WELL AND I GOT THAT ONE WRONG
Step-by-step explanation:
ahhhh
Graph the linear equation y = -2x -1
Answers
(hope this helps) :)
Step-by-step explanation: in the picture
please give me a brainliest answer
the cost of plastering the wall of a room which is 4m high and breadth is one third of its length is Rs 640 at the rate of Rs 5/ meter square. What will be the cost of carpeting its floor at rate of rs 250/ meter square.
Answers
Answer:
Step-by-step explanation:
Please refer to the attachement. I defined the height (H), width (W), and length (L) and set:
H = 4m and W = (1/3)L. The total cost of 640 Rs/m^2 is divided by the rate cost of Rs 5/m^2 to give 128 m^2 that was plastered. The total area of the walls must be 128 m^2, so then calculate the total wall area: The walls for the length are 2*LH and for the width are 2*WH. Substituting, we have a total of 8*L + (4/3)L = 128 m^2. Solve for L to obtain L = 12m. W is 1/3L, or 4m. The room is (W,L,H) 4, 12, and 4 meters. The floor is W*L, or 48m^2. At Rs 250/m^2, the rug will cost Rs 12000. Ouch.
Savannah divided 1/2 of a liter of plant fertilizer evenly among some smaller bottles. She put 1/4 of a liter into each bottle. How many smaller bottles did Savannah fill?
Answers
Answer:
2
Step-by-step explanation:
find how many fourths are in a half:
1/2 = 2/4
if there's 2/4 in a half, then she filled two bottles
have a wonderful day :)
An angle measuring 60 degrees is measured as 62 degrees. What is the percentage error correct to 3 significant figures?
3.23%
3.33%
37.2%
35.5%
Answers
Answer:3.33%
easy
Step-by-step explanation:
A = true value = 60
B = estimated or measured value = 62
C = percent error
C = ( |A-B|/A ) * 100%
C = ( |60-62|/60 ) * 100%
C = (2/60)*100%
C = 0.0333*100%
C = 3.33%
Mr. Ramirez purchased 50 concert tickets for a total of $575. The concert tickets cost $15 for adults and $10 for children under the age of 12.
Write and solve a system of equations to represent the given scenario. Use the variables "a" for adults and "c" for children.
Answers
Explanation:
a = adult tickets
c = child tickets
a + c = 50
15a + 10c = 575
The first equation can be rearranged and substituted into the second equation.
a = 50 - c
15(50 - c) + 10c = 575
750 - 15c + 10c = 575
750 - 5c = 575
-5c = -175
c = 35
The value of c can be substituted into either one of the original equations to find a.
a + c = 50
a + 35 = 50
a = 15
Check:
a + c = 50
15 + 35 = 50
50 = 50
15a + 10c = 575
15*15 + 10*35 = 575
225 + 350 = 575
575 = 575
Help!! Anyone? Don’t give answer that is gibberish just so you can earn points
Answers
Answer:
I am not sure but this is what I got
Step-by-step explanation:
1/3, 1/4, 2/5are the fractions. when we find the LCM= 60
the fractions become 20/60, 15/60 and 24/60
add all of them we get 59/60
total = 60/60
total -used part of cake = unused part of cake
60/60 - 59/60 = 1/60
hope it helps :) pls check if there are any mistakes
Will mark brainliest for correct answer !!! <3
(Which answer choice shows that the commutative property does not hold for
matrix multiplication?)
Answers
Answer:
C
Step-by-step explanation:
look at A and B it is false
PLEASE HELPP!! Type an equation for the
following pattern. Make sure
the fraction is in simplest form.
Answers
Answer:
y = -3/2x + 10.5
Step-by-step explanation:
You can plug in the x values and you'll get the y values of the table. Hope this helps :)
Write an expression for each of the following:
a. the sum of 6 and z
b. the difference between 20 and x
c. 8 less than the quotient of x divided by 6
d. x increased by 5 divided by 4
Answers
Answer:
6 + z
20 - x
x/6 - 8
5x/4
Step-by-step explanation:
Answer:
Step-by-step explanation:
Answer:
a.6+z
b.22-x
c.8-x÷6
d.x+15÷4