Answers
Answer:
Option 3
Step-by-step explanation:
AX and XB are congruent because we know that CD is a perpendicular bisector of AB.
The word "bisector" indicates that AB is cut into two equal parts, which allows us to make that claim.
<AXC≅<BXC because they are both equal to 90 degrees. This is because perpendicular means that the two lines are meeting at a 90-degree angle. Since both of them are 90 degrees, they are congruent.
Lastly, we know that XC ≅ XC since they are the same side.
With that in mind, we are able to prove that triangle AXC and BXC are congruent by SAS or side angle side. (The angle is between the two sides)
The correct choice would be option 3.
Related Questions
The length of a rectangle is (t – 8) units, and its width is ('+ 11) units. Which expression can represent the area of the rectangle?
A 2 - 33 - 88
B. 22 - 33 + 88
C12 + 31 - 88
D I2 +31 +88
Answers
Corrected Question:
The length of a rectangle is (t – 8) units, and its width is (t + 11) units. Which expression can represent the area of the rectangle?
Answer:
t² + 3t - 88
Step-by-step explanation:
Given:
Rectangle of;
length = (t - 8) units
width = (t + 11) units
The area A of a rectangle is given by;
A = length x width ----------------------------------(i)
Substitute the given length and width into equation (i) as follows;
A = (t - 8) x (t + 11) [expand the brackets]
A = t² -8t + 11t - 88
A = t² + 3t - 88
Therefore, the area is
(t² + 3t - 88) square units
Compare 3.7777 and 3.77. Use the inequality symbols < and > to write two inequality
statements using the given numbers that are true.
Answers
Answer:
3.7777 > 3.77 or 3.77 < 3.7777
HELPPPPP MEEEEE I WIIILLLLL GIVVVEEE BBRRRAIINNNNNLLLLIEEESTTTT!!!!! I pay $2.25 per gallon of gasIf I get a drink they take $.50 per gallon . What is my cost if I get 10 gallons of gas?
Answers
Answer:
$17
Step-by-step explanation:
10 x 2.25 = 22.5
10 x .50 = 5
22.5 -5 = 17
I think this is correct. Sorry if it isn't though!!!!!!
I’m confused how do you simplify 25-9
Answers
Answer:
do you mean subtract?
Step-by-step explanation:
The answer is: 16
P has coordinates (2,4). Q has coordinates (-10,12). Find the midpoint of PQ.
Answers
Answer: (-4,8)
Step-by-step explanation:
[tex]\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
Plug in the values then divide, I assume you know how to divide.
Divide by 2, Simplify
[tex]\left(\frac{-10+2}{2},\:\frac{12+4}{2}\right)[/tex]
= (-4,8)
If f(x) = 2x+7 and g(x) = -3x+5, what is f(g(4))?
Answers
Plug 4 in for g(x) and solve to get x=-7.Plug x=-7 in for f(x).
Answer:
-7
Step-by-step explanation:
So we have the two functions:
[tex]f(x)=2x+7\text{ and } g(x)=-3x+5[/tex]
And we want to find f(g(4)).
So, find g(4) first:
[tex]g(x)=-3x+5\\g(4)=-3(4)+5[/tex]
Multiply:
[tex]g(4)=-12+5[/tex]
Add:
[tex]g(4)=-7[/tex]
Now, substitute:
[tex]f(g(4))=f(-7)[/tex]
Use the equation from f(x):
[tex]f(x)=2x+7\\f(-7)=2(-7)+7[/tex]
Multiply:
[tex]f(-7)=-14+7[/tex]
Add:
[tex]f(-7)=-7[/tex]
So:
[tex]f(-7)=f(g(4))=-7[/tex]
And that's our answer :)
1.5
Is this number rational or irrational
Answers
Answer:
Rational.
Step-by-step explanation:
Many floating point numbers are also rational numbers since they can be expressed as fractions. For example, 1.5 is rational since it can be written as 3/2, 6/4, 9/6 or another fraction or two integers. Pi (π) is irrational since it cannot be written as a fraction.
someone answer this for me please ..
Answers
Answer: 9 times as large
Step-by-step explanation:
the original area: 15×15=225
the new area: (15×3)(15×3)=2025
2025/225=9
Hope this helps!! :)
Please let me know if you have any question
5x + 4x - x
9x
Explain mistake:
Correct answer:
2(x + 5)
2x + 5
Explain mistake:
Correct answer:
5 - (x - 2)
5 - x - 2
3 - x
Explain mistake:
Correct answer:
-3(2x - 5)
-6x - 15
Explain mistake:
Correct answer:
2x + 3 + 4x
9x
Explain mistake:
Correct answer:
x + 3x + 6x
[tex]10x {}^{2} [/tex]
Explain mistake:
Correct answer:
Answers
Correct answer:
1). 8x
2). 2x + 10
3). 7 - x
4). 6x + 3
5). 10x
Explanation:
1). 5x + 4x - x
= 9x - x
= 8x
Mistake: 9x - x is 8x not 9x
2). 2(x + 5)
= 2x + 10
Mistake: When multiply 2(x + 5) you have to take 2(x) + 2(5) = 2x + 10 not 2(x) + 5 = 2x + 5
3). 5 - (x - 2)
= 5 - x + 2
= 7 - x
Mistake: when a minus sign is in front of a parenthesis the sign in between the two terms in the parentheses needs to change. 5 - (x - 2) = 5 - x + 2 not 5 - x - 2.
4). 2x + 3 + 4x
= 6x + 3
Mistake: Combine like terms. Add the number with variable to the number with variable. And the number without variable to the number without variable.
5). x + 3x + 6x
= 10x
Mistake: When add the number with the same variable. Only the coefficient increase not the exponent itself. But when multiply, both the coefficient and exponent increase.
Please show all work and not just the answers.
Answers
Answer:
√113
Step-by-step explanation:
As per distance formula:
d = [tex]\sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]Points are:
A(-4, -3) and B(3,5)So the distance:
d = [tex]\sqrt{(3+4)^2 + (5+3)^2}[/tex] = [tex]\sqrt{7^2 + 8^2}[/tex] = [tex]\sqrt{49+64} = \sqrt{113}[/tex]Answer is √113
Answer:
√113
Step-by-step explanation:
B(3,5) , A(-4,-3)
distance between 2 points : d
d=√(x2-x1)²+(y2-y1)²
d=√(3-(-4)²+(5-(-3)²
d=√7²+8²
d=√49+64
d=√113
Given x=-3, y=6, and z=-4 22-3y+4x=
Answers
Answer: -8
Explanation: It's a good idea to get into the habit of using parenthses
when substituting numbers in for variables.
Since x = -3 and y = 6, 22 - 3y + 4x is 22 - 3(6) + 4(-3).
3(6) is 18 so we have 22 - 18 + 4(-3).
4(-3) is - 12 so we have 22 - 18 + -12.
Now, 22 - 18 is 4 and 4 + -12 is -8.
Answer:
-8
Step-by-step explanation:
Subsitute the variable "y" with 6 and the variable "x" with -3. Once the variables are replaced with the right numbers, the equation should read 22- 3(6) +4(-3). Using PEMDAS (parentheses, exponents, multiplication, division, addition, subtraction) you should do what's in the parentheses first. -3 times 6 is -18 and 4 times -3 is -12. 22-18-12= -8
what is the answer for -(2n-b)=-2
Answers
Answer:
b=2n−2
Step-by-step explanation:
Distribute -1 to every term in the parentheses:-2n+b=-2
Add 2n to isolate b
You might want to specify which variable you are solving for...
If a dozen cookies cost $18, what is the cost for 18 cookies
Answers
What i did is. First i divided the cost of a dozen. And i took of a dozen of 18 (your cookies) and was left with 6 cookies. i also was left with 9 after dividing so if you add 6+9 so your answer is 15
Answer: For 18 cookies, the cost is 27 dollars.
Step-by-step explanation:
So we are given that:
a dozen cookies cost $18
And we have to find how many 18 cookies cost. We can solve this problem by finding the ratio, or fraction of dollars per cookie or cookie per dollars.
12 cookies 6 2
---------------- = ----------- = ------------- So this means 2 cookies per 3 dollars.
18 dollars 9 3
Now if you increase the numerator by 9 (the numerator is cookies) and you find that there are 18 cookies, then how much money is there to pay?
This can be found by increasing the denom. by 9 as well:
3 x 9 = 27
So then the cost is 27 dollars, and that is how much you have to pay.
The scale of a map is 1 : 100,000. The distance between two houses on the map is 3.2 cm. Find the actual distance, in kilometers, between the two houses?
Answers
Answer:
The actual distance between the two houses is:
3.2 km
Step-by-step explanation:
Proportions:
1cm ⇔ 100000 cm
3.2 cm ⇔ W cm
W = 3.2*100000/1
W = 320000 cm
1 km = 100000 cm
320000cm = 320000/100000 = 3.2km
You use the equation $y=0.18x$ to calculate the tip $y$ (in dollars) that you add to a bill for $x$ dollars. a. Solve the equation for $x$ . The rewritten equation is $x=$ . b. Find the amount of the bill (not including tip) when your tip is $4.95. The bill is $\$$ .
Answers
Answer:
Step-by-step explanation:
Given the equation y = 0.18x, to solve for x, we will make the variable x as the subject of the formula from the equation given.
From the equation y = 0.18x
Divide both sides by the coefficient of x i.e 0.18
y/0.18 = 0.18x/0.18
y/0.18 = x
Hence the function of the variable x = y/0.18
b) Given the amount of the bill as y and x is the tip in dollars.
Given y = $4.95, we are to substitute the value of y = $4.95 into the resulting function in (a) to get x as shown;
Since x = y/0.18
x = $4.95/0.18
x = $27.5
Hence the bill is $27.5
7/15 in decimal form
Answers
Answer:
0.46666666666667
Step-by-step explanation:
You could use long division, and see that 7/15 = 0.46666666667.
If the length is increased by 5 feet the area of the resulting rectangle is 60 square feet.what is the area of the original rectangle
Answers
Answer: No because my teacher told me so
Step-by-step explanation: A
On the Venn diagram, which would be classified as an IRRATIONAL number?
Answers
Answer:
The correct answer is B. 2π
Step-by-step explanation:
A rational number is one that can be represented using a fraction and an irrational number cannot be represented using a fraction.
-√4 = -2, which is a rational number
2π is not a rational number (we cannot express pi as a fraction exactly even though there are some close approximations)
2.2121... is also a rational number because it can be expressed as a fraction (21/99, or 7/33 simplified)
√225 is 15, which is a rational number
Therefore, the only irrational option is option B. 2π, which is your answer.
Hope this helps!
A square sandbox has an area of 75 square feet. Estimate the length of one of the sides of the
sandbox. Round to the nearest tenths place.
Answers
Answer:
8.7
Step-by-step explanation:
Since a square has equal side lengths, the formula for area is s^2, where s stands for side. Since we are given the area, s^2=75 square feet. Take the square root of both sides to get s is equivalent to the square root of 75 square feet. When this becomes a decimal, it is 8.66 feet. Since we are supposed to round to the nearest tenths, it rounds up to 8.7 feet per side length
What value of x makes the equation true? -3x = 18
Answers
Answer:
x = -6
Step-by-step explanation:
[tex]-3x = 18\\\\\mathrm{Divide\:both\:sides\:by\:}-3\\\frac{-3x}{-3}=\frac{18}{-3}\\\\Simplify\\x=-6[/tex]
Could you explain to me how I'm supposed to solve this and all the steps?
Answers
Answer:
98 degrees
Step-by-step explanation:
The total sum of the angles of a pentagon is 540 degrees and the sum of the four given angles is 442 degrees. So, the answer is 540 - 442 = 98
what is the answer to -1/8-2/7
Answers
Answer:
-23/56
Step-by-step explanation:
-1/8-2/7
= -7+8×-2
----------------
8×7
=-7-16/56
=-23/56
BTW. . This method is called the butterfly method.. in which we must cross multiply the numerators and denominators.. and multiply the denominator together (if they are co-primes) to get the LCM in the denominator of the sum..
Hours of
Training
10
20
30
40
50
60
70
Monthly
Pay
1100
1200
1300
1400
1500
1600
1700
According to the table, how many hours of training would you need to have a
monthly pay of $1140?
A. 12
B. 4
C. 2
D. 14
Answers
A
B
B
B
B
B
B
Bv
Half the perimeter of a rectangular room is 46 m, and its length is 6 m more than its breadth. What is the length and breadth of the room?
Answers
Answer:
26 m and 20 m
Step-by-step explanation:
Let the length of the room be l, the breadth be b and perimeter be P.
Given:
P/2 = 46 ml = b + 6 mSolutionSince P = 2(l + b), P/2 = l +b, we have following equations:
l + b = 46l = b + 6Substituting l in first equation:
b + 6 + b = 462b + 6 = 462b = 40b = 20 mThen the length is:
l = b + 6 = 20 + 6 = 26 mYou are at a family reunion and the cooler contains ten bottles of soda; four Sprite, three Dr. Pepper, and three Cherry Coke. Three times, you randomly pick up a drink for your grandmother. The first time, you get a Cherry Coke. The second and third times, you get Dr. Pepper. What is the probability of getting Dr. Pepper the fourth time and then an Cherry Coke the fifth time without replacement?
Answers
Answer:
Probability of getting Dr. Pepper the fourth time = [tex]\frac{1}7[/tex]
Probability of getting a cherry coke the fifth time = [tex]\frac{1}{3}[/tex]
Combined probability = [tex]\frac{1}{21}[/tex]
Step-by-step explanation:
Formula for probability of an event E can be observed as:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
It is given that first time a Cherry coke is chosen and it is not replaced.
So, number of cherry coke left = 2
Dr. Pepper is chosen twice and is not replaced, so
Number of Dr. Pepper left = 3 - 2 = 1
Total number of soda left = 10 - 3 = 7
So, probability of getting Dr. Pepper the fourth time = [tex]\frac{1}7[/tex]
Now, total number of soda left = 7 - 1 = 6
Probability of getting a cherry coke the fifth time = [tex]\frac{2}{6} = \frac{1}{3}[/tex]
The combined probability = probability of getting Dr. Pepper the fourth time multiplied with Probability of getting a cherry coke the fifth time
[tex]\Rightarrow \dfrac{1}7 \times \dfrac{1}{3} = \dfrac{1}{21}[/tex]
Klay's lunch cost $6. This is $2 less than Ella's lunch cost. How much did
Ella's lunch cost? Select the correct solution method below, using x to
represent the cost of Ella's lunch.
Answers
Answer:
$4x
Step-by-step explanation:
$6 - $2 = $4
$4x
Answer:
X=6+2
Step-by-step explanation:
Can you trace this figure without
lifting your pencil from the paper
and without retracing any line?
Trace through your answers to
the exercises in the order they
are given.
Answers
How many solutions does the equation 4y − 4y − 12 = 14 − 2 have?
Answers
Answer:
NONE
Step-by-step explanation:
4Y-4Y-12=14-2
LETS ADD AND SUBTRACT
-12=12
WHICH ISNT TRU!
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
Answer:
None
Step-by-step explanation:
The equation states after simplifying that -12 = 12 which is not a true statement.
5x + 3 = 7x – 1. sove for x,
Answers
Answer:
x = 2
Step-by-step explanation:
[tex]5x + 3 = 7x - 1 \\ 3 + 1 = 7x - 5x \\ 4 = 2x \\ \frac{4}{2} = x \\ 2 = x \\ x = 2[/tex]
Pam has 35 bags of coins. Some of the bags contain 6 gold coins, and the rest contain 8 silver coins. If Pam has 240 coins in all, how many bags of each type of coin does Pam have?
Answers
Answer:
Step-by-step explanation:
Multiply: 14(0.25). If you missed this problem, review Example 5.3.5.
Simplify: 100(0.2 + 0.05n). If you missed this problem, review Example 7.4.6.
Solve: 0.25x + 0.10(x + 4) = 2.5 If you missed this problem, review Example 8.6.8.