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,
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Related Questions
true or false Typically, a plot begins with conclusions that introduce the characters and the conflict they face.
Answers
Answer:
Hello!!
The correct answer is false. The exposition begins with conclusions that introduce the characters and the conflict they face
Hope this helps!!
60% of all bald eagles survived their first flight. If 25 randomly selected bald eagles are observed, what is the probability that at least 15 of them will survive their first flight.
a) Use the binomial distribution to approximate the probability.
Answers
Answer:
[tex]100%[/tex][tex]\%[/tex]
Please show all steps to 2- (-1)
Answers
Answer:
3
Step-by-step explanation:
2-(-1)=2+1=3
Is it possible to list all the fractions between 2 and 3? Explain.
Answers
Answer: No
Step-by-step explanation:
There are infinitely many numbers. Numbers so big that they are beyond our comprehnsion. Numbers can also be infinitly small. A fraction is something less than a whole. So the answer is no you can't list them all.
does anyone know how to do this
Answers
Answer:
(2,2)
Step-by-step explanation:
To draw a graph you find the y value for a couple of x values. For a linear equation like the one given, two points are enough because the graph is always a straight line.
First graph
First, convert the equation into the y=... form:
x - y = 0 => y = x
No choose two x values at random, e.g., 0 and 5:
for x=0, you find y=0, so (0,0) is a point on the graph
for x=5, you find y=5, so (5,5) is a point on the graph
Now plot these two points and draw a line through them.
Second graph
First, convert the equation into the y=... form:
x + y = 4 => y = 4 - x
No choose two x values at random, e.g., 0 and 5:
for x=0, you find y=4, so (0,4) is a point on the graph
for x=5, you find y=-1, so (5,-1) is a point on the graph
Now plot these two points and draw a line through them.
Problem:
−(−8y−6.6z−10)
Please help me if possible!
Answers
Solve for X then find the measure of
Answers
Answer:
x=11
m<a=80º
m<b=80º
Step-by-step explanation:
They are congruent so
8x-8=5x+25
8x=5x+33
3x=33
x=11
Answer:
Step-by-step explanation:
8x-8=5x+25
8x+5x=25--8
13x=33
x=2.5
x=3cm
Someone pls help me I will make you brain
Answers
Answer: -75
Step-by-step explanation:Because basically the slope is how much money is going down in the loan so 850 minus 75 is 775 so -75 is the answer
The sixth-grade classes have 28, 20, 30, and 25 students. What is the mean number of students in a class?
Answers
Answer:
25.75
Step-by-step explanation:
mean=sum of all numbers/number of numbers given
we have 4 numbers given 28,20,30 and 25
mean=28+20+30+25/4
mean=103/4
mean=25.75 :)
Plz help will give brainliest
Simplify square root of five times the quantity six minus four square root of three.
Group of answer choices
9
thirty square root of three
six square root of five minus four square root of fifteen
square root of thirty minus twenty square root of three
Answers
Answer:
C
Step-by-step explanation:
Answer:
6√5-4√15
Step-by-step explanation:
√5(6-4√3)
6√5-4√3*√5 division property
6√5-4√3*5 combining like terms
6√5-4√15
Solve for x 3/8(2x+16)−2=13
The "/" is for a fraction btw
Answers
I hope this helped
Apply the distributive property:
-3(x+2) =
Answers
Answer:
-3x-6
Step-by-step explanation:
you multiply x by -3 getting -3x then you multiply -3 by positve 2 getting -6
Hello skm413002!
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
Apply the distributive property:
-3(x+2) =
[tex] \large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}[/tex]
By applying the distributive property, we can solve it as....
[tex] \sf \: - 3(x + 2) \\ = \sf \: (- 3 \times x) -( 3 \times 2) \\ = \large \boxed{\boxed{ \bf - 3x - 6}}[/tex]
Method :-Distributive property.Steps :-Multiply -3 with x & 2.Add the 2 products.You'll get the answer as -3x - 6.__________________
Hope it'll help you!
ℓu¢αzz ッ
what integer is equivelent to 25 3/2
Answers
Answer:
27
Step-by-step explanation:
Naomi and Stefan are selling pies for a school fundraiser. Customers can buy cherry pies and pumpkin pies. Naomi sold 11 cherry pies and 4 pumpkin pies for a total of
$208. Stefan sold 13 cherry pies and 12 pumpkin pies for a total of $384. Write the
system of equations that would allow you to determine the cost each of one cherry
pie (c) and one pumpkin pie (p)?
Answers
The answer is the first option
The cost of one cherry pie (c) is $12 and one pumpkin pie (p) is $19 and the equation system will calculate the cost of one cherry 11c + 4p = 208 and 13c + 12p = 384 .
What is the Linear equation?A linear equation is defined as an equation in which the highest power of the variable is always one.
Let the number of cherry pies be c,
And the number of pumpkin pies be p,
As per the given information, an equation system will calculate the cost of one cherry.
11c + 4p = 208 ...(i)
13c + 12p = 384 ...(ii)
Multiplying 12 by equation (i) and 4 by equation (ii), we get
132c + 48p = 2496 …(iii)
52c + 48p = 1536 …(iv)
Equation (iii) subtracts from (iv) and we get c = 12 then substitute the value of 'c’ into equation (i) and we get
11(12) + 4p = 208
4p = 208 - 132
4p = 76
p = 19
Thus, the cost of one cherry pie (c) is $12 and one pumpkin pie (p) is $19
Learn more about the Linear equations here:
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Help me please i need the equation of axis of symmetry
Answers
Answer:
x = -2
Step-by-step explanation:
It's a vertical line at x = -2
Which of the following functions represents an absolute value function?
y = |x - 21
O y = x-2
y = x
Answers
HELP ASAP PLEASE
If the bowling fans get their way, and the group plays only 1 game of laser tag, will they have
enough money to bowl 5 games? Use your expression from question 3 to calculate the cost of 1
game of laser tag and 5 games of bowling. (3 points: 1 point for the answer, 1 point for showing
your work, and 1 point for answering the question
Answers
Simplify the radical please I need sleep it's 1 am I wake up at 4
Answers
Answer:
[tex]4cba*\sqrt{5bc}[/tex]
Step-by-step explanation:
[tex]\sqrt{4^{2} *5a^{2}b^{2}bc^{2} c }[/tex]
[tex]4cba*\sqrt{5bc}[/tex]
What is the value of x that makes this equation true?
(10 raised to the power of 4) = 10 raised to the power of x
Enter only a number as your answer.
Answers
Answer:
pot0tsafgxxgcgcycguchchcui
The black line is the graph of y = x. Which of these
equations could represent the blue line?
Answers
Answer:
A
Step-by-step explanation:
Answer:
The answer is (y=1/2x )
if you take 3 apples from 10 apples how many apples do you have
Answers
Answer:
still 10 even tho you took 3
Step-by-step explanation:
PLEASE ANSWER ASAPEnter the equation of the line in slope-intercept form. Slope is − 2 3 , and (−6, −5) is on the line. The equation of the line is y =
Answers
Step-by-step explanation:
there seems to be something missing.
I assume the slope of the line is -2/3.
the slope of a line is always the factor of x in the equation.
the slope is the y/x ratio indicating how many units y changes, when x changes by a certain amount of units (e.g. when going from one point on the line to another).
the equation for the line looks like this then :
y = (-2/3)×x + b
to get b we use the provided point (-6, -5) and it's x and y values.
-5 = (-2/3)×-6 + b = 4 + b
b = -9
so, the full equation of the line is
y = (-2/3)×x - 9
[tex]The \: value \: of \: \sqrt{6 + \sqrt{6 + \sqrt{6} + .......... \: to \: \infin } } \: is \: \underline{ \: \: \: \: \: \: \: \: \: \: \: .}[/tex]
CORRECT EXPLANATION WILL BE MARK AS BRAINLIEST.
Answers
[tex]\large\underline{\sf{Solution-}}[/tex]
Let us assume that:
[tex] \sf \longmapsto x = \sqrt{6 + \sqrt{6 + \sqrt{6 + ... \infty } } } [/tex]
We can also write it as:
[tex] \sf \longmapsto x = \sqrt{6 + x } [/tex]
Squaring both sides, we get:
[tex] \sf \longmapsto {x}^{2} =6 + x[/tex]
[tex] \sf \longmapsto {x}^{2} - x - 6 =0[/tex]
By splitting the middle term:
[tex] \sf \longmapsto {x}^{2} - 3x + 2x - 6 =0[/tex]
[tex] \sf \longmapsto x(x - 3) + 2(x - 3 ) =0[/tex]
[tex] \sf \longmapsto (x+ 2)(x - 3 ) =0[/tex]
Therefore:
[tex] \longmapsto\begin{cases} \sf (x+ 2) =0 \\ \sf (x - 3) = 0 \end{cases}[/tex]
[tex] \sf \longmapsto x = - 2,3[/tex]
But x cannot be negative.
[tex] \sf \longmapsto x = 3[/tex]
Therefore, the value of the expression is 3.
[tex]\large\underline{\sf{Verification-}}[/tex]
Given:
[tex]\sf\longmapsto x=3[/tex]
We can also write it as:
[tex]\sf\longmapsto x = \sqrt{9}[/tex]
[tex]\sf\longmapsto x = \sqrt{6+3}[/tex]
[tex]\sf\longmapsto x = \sqrt{6 + \sqrt{9}}[/tex]
[tex]\sf\longmapsto x = \sqrt{6 + \sqrt{6+3}}[/tex]
[tex]\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{9}}}[/tex]
[tex]\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{6+3}}}[/tex]
This pattern will continue.
[tex]\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{6+...\infty}}}[/tex]
Use synthetic division to find the result when 4x^3+3x^2– 8x – 7 is divided by x+1.
Answers
4x^2 - x - 7
if i had 475 cannolis ans a box can only carry 15 how many boxes will i need.
Answers
Answer:
you would need 32 boxes
Step-by-step explanation:
475/15 = 31.666
32 boxes
475/15=31.7 but you can't get 0.7 boxes so you would need 32 to carry all of the cannolis.
Your bedroom is 20 feet long by 12 feet wide. You are make a scale drawing of you bedroom with the scale 1⁄2 inch = 4 feet, what would the dimensions be?
Answers
Divide actual feet by scaled feet then multiply by scale inches:
20 feet / 4 = 5
5 x 1/2 = 2 1/2
12 feet / 4 = 3
3 x 1/2 = 1 1/2
Dimensions are 2 1/2 inches by 1 1/2 inches
A student performed the following steps to find the solution to the equation
x2 - 2x - 8 = 0. Where did the student go wrong?
Step 1. Factor the polynomial into (x-4) and (x - 2)
Step 2. X-4 = 0 and x - 2 = 0
Step 3. x = 4 and x = 2
A. The student did not make any mistakes, the solution is correct
B. in Step 2
C. in Step 1
D. in Step 3
Answers
Answer:
step 1, c
Step-by-step explanation:
he was wrong in step 1.
when factoring out (x-4) and (x-2), you have to distribute x*x, x*-2, -4*x, and -4*-2
if you do it you get x^2 - 2x -4x + 8
the correct way to factor will be (x-4)(x+2)
when you factor out you will get the original equation you started with.
HELPOOPPP AND IF YOU DONT GET IT RIGHT I REPORT
Answers
Answer:
(-4,2)
Step-by-step explanation:
Answer:
(-4,2)
Step-by-step explanation:
hope this helps
The radius of a smaller circle is half the length of the radius of a larger circle. The area of the larger circle is 20 square inches. What is the approximate area of the smaller circle?
Answers
Answer:
4
Step-by-step explanation:
The manager of a bank recorded the amount of time each customer spent waiting in line during peak business hours one Monday. The waiting times are shown below.
2
3
7
21
19
8
S
12
6
5
7
2
Find the mean waiting time. Round your answer to one decimal place.
8.0 min
7.2 min
7.5 min
6.8 min
Answers
The answer is 6.8 minutes