Answer:
Here is the full proof:
AC bisects ∠BCD Given
∠CAB ≅ ∠CAD Definition of angle bisector
DC ⊥ AD Given
∠ADC = 90° Definition of perpendicular lines
BC ⊥ AB Given
∠ABC = 90° Definition of perpendicular lines
∠ADC ≅ ∠ABC Right angles are congruent
AC = AC Reflexive property
ΔCAB ≅ ΔCAD SAA
BC = DC CPCTC
Which expression best defines a rational number?
A. has a decimal form that can be rounded
B. has a decimal form that cannot be rounded
C. has a decimal form that is terminating or repeating
D. has a decimal form that is nonterminating and nonrepeating
Rational numbers are terminating or repeating numbers. Therefore, option C is the correct answer.
We need to check from the options which expression best defines a rational number.
What are rational numbers?Rational numbers: Rational numbers are in the form of p/q, where p and q can be any integer and q ≠ 0. This means that rational numbers include natural numbers, whole numbers, integers, fractions of integers, and decimals (terminating decimals and recurring decimals).
Rational numbers can be easily identified with the help of the following characteristics.
All integers, whole numbers, natural numbers, and fractions with integers are rational numbers.If the decimal form of the number is terminating or recurring as in the case of 5.6 or 2.141414, we know that they are rational numbers.In case, the decimals seem to be never-ending or non-recurring, then these are called irrational numbers.So, from the definition, we understood that rational numbers are terminating or repeating numbers.
Therefore, option C is the correct answer.
To learn more about rational numbers visit:
https://brainly.com/question/17450097.
#SPJ2
A table of values of a linear function is shown below. Find the output when the input is n. Type your answer in the space provided.
I need the 5th output, I'll give brainiest
Answer:
the equation is f(x)4x+2
if the input is a generic number n, the output will be 4n+2
Step-by-step explanation:
whats the surface area?
Answer:
1108 in²
Step-by-step explanation:
You want the total surface area of the pentagonal prism shown.
Base areaThe area of each of the two pentagonal bases is the sum of the area of the yellow rectangle and the area of the triangle above it. That sum is ...
A = LW +1/2bh
A = 5(12) +1/2(12)(9) = 12(5 +9/2) = 114 . . . . square inches
Lateral areaThe lateral area of the prism is the sum of the areas of the 5 rectangles. That sum will be the product of the perimeter of the pentagonal base and the distance between bases.
LA = (12 +5 +11 +11 +5)(20) = (44)(20) = 880 . . . . square inches
Total areaThe total surface area of the figure is the sum of the two base areas and the lateral area:
SA = 2(114 in²) +880 in² = 1108 in²
The surface area of the composite figure is 1108 in².
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Bella is baking 34 cookies for the holiday party tonight. She baked 18 before leaving for school and will bake the rest when she returns home.
Which equation shows how many cookies Bella will bake when she returns home?
a: 18 = x − 34
b: 34 = 18x
c: 34 = x − 18
d: 34 = x + 18
Answer: d: 34= x + 18
Step-by-step explanation: 34 is the total, and she already made 18. So this means that it would be 34-18=x. OR 18+x=34 which can also be written as 34=18+x
Please answer quickly!
Mary is installing carpet in a closet for a customer. A floor plan of the closet is shown. Mary charges $5.60 per square foot of carpet, plus a $150 installation fee.
You have a pizza with diameter 12
2
3 in., and a square box that is 12.65 in. across. Write 12
2
3 as a decimal. Can you fit the pizza inside the box?
What is the decimal expansion for 12
2
3?
A.12.6
B.12.65
C.12.6
D.12.66
pls help me
Answer:
D is the right choice and no you cannot fit the pizza inside the box.
Step-by-step explanation:
D is the answer because to turn 2/3 into a decimal you would divide 2 by 3 and the answer you would get would be 0.66666666666...You would then add 12 to the answer and get 12.6666... Once you get this answer you would round it to the hundredths to get 12.67 but since that is not an option you could use D, 12.66 inches.
Answer:
I believe the answer is D.
Step-by-step explanation:
Nolan began with $26 in bank account and spent $2 each day. The line models the amount of money in his bank account. Be incorrectly wrote an equation for the line in slope-intercept form as y= "-2x+13" . What is the correct equation for the line in slope-intercept form? What mistake might Nolan have made?
Answer:
y=2x - 26
Step-by-step explanation:
y=mx+b
2 is m
26 is b
Write two equivalent expressions that represents the situation . What is the difference in their Elevations? And airplane flies an altitude of 45,000 feet. A submarine a diverse to a depth of 800 feet below sea level.
Answer:
1. 45,000 - 800= the difference
This question is 27 points. A group of friends worked together over the summer mowing lawns to earn money. Altogether, they earned 694.68. If each friend gets one-fourth of the earnings, what rational number represents each friend's amount?
Answer:
If it's 1/4 then I think there should be 4 friends.
Step-by-step explanation:
Therefore 694.68/4=173.67
Each friend got $173.67
Use the graph method to solve the system of the linear equations:
Answer:
C
Step-by-step explanation:
I hope it's right
Sorry if it's wrong
Classify -42 in as many groups as possible on the Venn diagram.
Answer:
B
Explanation:
-42 is a integer, but not irrational, and whole numbers are all positive except for 0.
Which sign makes the statement true?
5.7 x \(10^{2}\) 5,700,000,000,000
Please help me quickly!!
Answer:
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Step-by-step explanation:
the exponent will tell you how many places u need to move the decimal. 5.7 × 10 to the 2nd power = 570. u moved the decimal 2 places to the right.
Barbara, Lauren, William, and Vinny make the following transactions.
Barbara writes a check for $40.22.
Lauren withdraws $120.50.
William deposits $54.
Vinny has a $30 debit.
Answer:
vinny, barbara, William, lauren
Referring to the figure, the shape is drawn on dot grids. Find the
area. Consider the horizontal or vertical distance between two dots to
be 1 unit.
a. 38 sq units c. 36 sq units
b. 30 sq units d. 40 sq units
Consider the functions below -
Answer:
y-intercept
Step-by-step explanation:
In all cases, when x = 0, f(0) = a or b or c.
Answer: y-intercept
PLS help me :)))) thx
Answer:
7) 96in²
8)292yd²
Step-by-step explanation:
7)
6×2=12
14×6=84
84+12=96
8)
26×7=182
22×5=110
182+110=292
Answer for the first one (7):
A = 96 square inches
Step-by-step explanation:
to find the unknown sides: 6+6=12
and: 14-12=2
then split into rectangles and find the area for each of them by multiplying the two sides and then add the two rectangles' areas together
Answer for the second image (6):
A= 229 square yards
Step-by-step explanation:
to find the unknown sides: 29-22=7
and: 26-21=5
split into rectangles find area for each of them then add the areas to get the answer
(Area of Polygons and Composite Figures MC)
the answer is 258 cm2
Answer:
THE ANSWER OF THIS QUESTION IS 258 cm2
Answer:
Step-by-step explanation:
THE ANSWER OF THIS QUESTION IS 258 cm2
Need help with this
Answer:
B: N-5
Step-by-step explanation:
N-5 is the same as a number (n) minus 5. decreased could also mean minus or subtract in simpler terms
Answer:
doos noots >:)
Step-by-step explanation:
Could someone please help me on this question? I need help!!
Answer:
Step-by-step explanation:
do you think you could take a closer up one then I will help you.
-3 + 6x. Which expression shows the correct factorization?
Here are the ones to pick from
1. -2 + -2 +6 +x
2. 6(-2 +x)
3. 6(-2 +x)
4. -3 (1 - 2x)
Answer:
Option #4
Step-by-step explanation:
Expand option #4
=-3(1-2x)
=-3 -2x*-3
=-3+6x which is what your original equation was.
Pls, help! A standard number cube with the numbers 1 through 6 is rolled. Find the probability of rolling a number less than 3. Find the probability of not rolling a number less than 3.
1/3; 2/3
1/2; 1/2
5/6; 1/2
1/6; 5/6
Brainlist for positive attitude and correct answer :D
Answer: The correct answer is:
Probability of rolling a number less than 3: 2/6 or 1/3
Step-by-step explanation:
Explanation: Out of the six possible outcomes (numbers 1, 2, 3, 4, 5, 6), there are two outcomes that meet the condition of rolling a number less than 3, which are 1 and 2. Therefore, the probability of rolling a number less than 3 is 2 out of 6, which simplifies to 1/3.
Probability of not rolling a number less than 3: 4/6 or 2/3.
Explanation: To find the probability of not rolling a number less than 3, we consider the outcomes that are not favorable (i.e., rolling a 3, 4, 5, or 6). There are four such outcomes, so the probability of not rolling a number less than 3 is 4 out of 6, which simplifies to 2/3. :D
can i have more help and help me understand it
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
For the first equation,
h-3=9, we need to put all the knowns (numbers) on one side and all the variables on the other side. because equations are like a scale, if we do the same thing to both sides of the equation, the equation will still be true. for this equation, if we add 3 to both sides, we will get:
h-3+3=9+3
this can be simplified to:
h=12
this is your answer.
For the second equation,
we can apply the same principle for the first equation to the second equation.
1/2 x h = 10
can also be written as:
1/2 of h = 10
we can multiply both sides by 2 to get:
1h=20
or
h=20
Select the correct answer.
Each unit on the graph is equal to 1 block. How many blocks does Ben need to walk from his house to reach the supermarket?
A 4 blocks
B 5 blocks
C 7 blocks
D 9 blocks
help idk what is this
Find the slope, or rate of change, from the following tables below. I will give 5 brainlist if you are right ;)
How are you? Heres the question of the day! 138 + 76 x 94 =
Answer:
7282
Step-by-step explanation:
To answer this use PEMDAS
First, we need to multiply: 76 x 94 = 7144
Then we add: 7144 + 138 = 7282
Answer:
\(\boxed{7282}\)Step-by-step explanation:
Using PEMDAS rule:
P = Parentheses
E = Exponents
M = Multiplication
D = Division
A = Addition
S = Subtraction
Now, let's solve:
\( \mathsf{138 + 76 \times 94}\)
Multiply the numbers
\( \mathsf{ = 138 + 7144}\)
Add the numbers
\( \mathsf{7282}\)
Hope I helped!
Best regards!
pls help me with dis bro its aleks
Can I please get help with this?
Answer: x = 20.
Step-by-step explanation:
x and (3x + 10) combine to form a right angle, shown in the diagram by the small square joining the perpendicular lines.
Right angles are 90 degrees, so you can add both angles to get 90:
\(x + (3x + 10) = 90\\\\4x + 10 = 90\\\\4x = 80\\\\x = 20\)
please help me with problem with clear explanation
Answer:
this doesn't even make any sense
Step-by-step explanation:
both -5.4 and 5.4 go off the m.f grid