Answer: 10/8 = 1 1/4
Step-by-step explanation:
2x5 =10
4x2 =8
10/8= 1 2/8 = 1 1/4
Provide the reasons for the following proof.
The figure shows triangle W X Y with a segment X Z drawn from vertex X to point Z on side W Y.
Given: Segment W X is congruent to Segment X Y and segment X Z bisects angle W X Y
Prove: triangle W X Z is congruent to triangle Y X Z
Statements Reasons
1.Segment W X is congruent to Segment X Y and segment X Z bisects angle W X Y 1. Given.
2. angle W X Z is congruent to angle Y X Z 2. Definition of an angle bisector.
3. Segment X Z is congruent to segment X Z. 3. _____________
4. triangle W X Z is congruent to triangle Y X Z 4. _____________
A. Reflexive Property of congruent to; SSS
B. Symmetric Property of congruent to; SSS
C. Reflexive Property of congruent to; SAS
D. Symmetric Property of congruent to; SAS
SOMEONE HELP! PLEASE!
The two column proof showing that ΔWXZ ≅ ΔYXZ is as shown below
From the given triangle, we see that;
Given: WX ≅ XY, XZ bisects WXY
Prove: ΔWXZ ≅ ΔYXZ
The two column proof for the above is as follows;
Statement 1; WX ≅ XY, XZ bisects 2
Reason 1; Given
Statement 2: ∠WXZ ≅ YXZ
Reason 2; Angle bisector
Statement 3; XZ ≅ XZ
Reason 3: Reflexive property of congruence
Statement 4: ΔWXZ ≅ ΔYXZ
Reason 4: SAS Congruence Postulate
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Can you please help me out
The bag contains,
Red (R) marbles is 9, Green (G) marbles is 7 and Blue (B) marbles is 4,
Total marbles (possible outcome) is,
\(\text{Total marbles = (R) + (G) +(B) = 9 + 7 + 4 = 20 marbles}\)Let P(R) represent the probablity of picking a red marble,
P(G) represent the probability of picking a green marble and,
P(B) represent the probability of picking a blue marble.
Probability , P, is,
\(\text{Prob, P =}\frac{required\text{ outcome}}{possible\text{ outcome}}\)\(\begin{gathered} P(R)=\frac{9}{20} \\ P(G)=\frac{7}{20} \\ P(B)=\frac{4}{20} \end{gathered}\)Probablity of drawing a Red marble (R) and then a blue marble (B) without being replaced,
That means once a marble is drawn, the total marbles (possible outcome) reduces as well,
\(\begin{gathered} \text{Prob of a red marble P(R) =}\frac{9}{20} \\ \text{Prob of }a\text{ blue marble =}\frac{4}{19} \\ \text{After a marble is selected without replacement, marbles left is 19} \\ \text{Prob of red marble + prob of blue marble = P(R) + P(B) = }\frac{9}{20}+\frac{4}{19}=\frac{251}{380} \\ \text{Hence, the probability is }\frac{251}{380} \end{gathered}\)Hence, the best option is G.
Alex purchased 1 adult ticket and 2 student tickets for a total of $22. Jen purchased
1 adult ticket and 3 student tickets for a total of $28.
Let a = cost of adult ticket
Let s = cost of student ticket
Write the two equations which could be used to solve this problem using
elimination.
Answer:
C. a + 2s = $22
a + 3s = $28
Step-by-step explanation:
a = cost of adult ticket
s = cost of student ticket
✍️Cost of adult tickets purchased by Alex = 1 * a = a
Cost of 2 students tickets purchased by Alex = 2 * s = 2s
Total cost of total ticket purchased by Alex = $22
Therefore, equation for Alex would be:
✅a + 2s = $22
✍️Cost of adult tickets purchased by Jen = 1 * a = a
Cost of 3 students tickets purchased by Alex = 3 * s = 3s
Total cost of total ticket purchased by Alex = $28
Therefore, equation for Jen would be:
✅a + 3s = $28
✍️The answer would be option C:
a + 2s = $22
a + 3s = $28
Help asap! Am=6 MB=4 AN=8
Answer:
AC = 13.3
Make proportional relationship:
\(\dfrac{\text{AB}}{\text{AC}} =\dfrac{\text{AM}}{\text{AN}}\)
Insert values
\(\rightarrow\dfrac{10}{\text{AC}} =\dfrac{6}{8}\)
Cross multiply
\(\rightarrow \text{AC}=\dfrac{10(8)}{6}\)
Simplify
\(\rightarrow \text{AC}=13.3\)
What is wrong with the following proof that for every integer n, there is an integer k such that n < k < n + 2? Suppose n is an arbitrary integer. Then k exists such that k = n + 1, proving n < n + 1 < n + 2. Nothing. 'Then k exists such that k = n + 1" is abuse of existential language. Given the n, the existence of the number n+1 is not in question. It makes no sense to draw a conclusion from the definition of k that does not reference k. The inequality n < n + 1 < n + 2 is true for all n, prior to any choice for k. the -ing form "proving" is grammatically wrong. We do not use the phrase "exists., such that" to make a direct definition. To define k as n + 1, we say "let k = n + 1", "pick k = n + 1" or "select k = n + 1". It works the same way as for constants. To assign the value 3 to k, we say "let k = 3". We do not say "k exists such that k = 3".
In the given proof, the phrase " There exists k = n+1 " is not a general practice to write.
option (d) is correct [ans]
What is an Integer?An integer is a whole number that can be positive, negative, or zero, and does not include any fractional or decimal parts.
Integers are part of the set of numbers called the integers, which includes all positive numbers, negative numbers, and zero.
We write " Let k = n+1 or assume n = k+1".
And then, we say that, it is obvious that
n < k = n+1 < n+2 for any integer n.
Hence, option (d) is correct [ans]
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Evaluate 3{5 + 3[10 + 4 · 8]}
Answer:
393
Step-by-step explanation:
3{5+3[10+4x8]}
⇒ 3{5+3[10+32]}
⇒ 3{5+3[42]}
⇒ 3{5+126}
⇒ 3x131
⇒ 393
Answer:
Step-by-step explanation:
3x5+3x3x(10+4
15+9x(10+4x8)
15+9x10+9x4x8
15+90+288
105+288=393
A model is made of a car. The car is
feet long and the model is
inches long. What is the ratio of the length of the car to the length of the model?
A
131313: 101010
B
101010: 156156156
C
156156156: 101010
D
101010: 131313
The car is 7 feet long and the model is 16 inches long, the ratio of the length of the car to the length of the model is, 21:4 So Option D is correct
What is the ratio?A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, while the divisor or number that is dividing is referred to as the consequent.
Given that,
The car is 7 feet long
The model is 16 inches long
The ratio of the length of the car to the length of the model = ?
It is known that,
1 feet = 12 inches
Now, converting length of car into inches
⇒ 7 feet = 7×12 inches = 84 inches
So, Ratio of lengths
⇒ 84/16
⇒ 21/4
Hence, the ratio is 21:4
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Complete question:
A model is made of a car. The car is 7 feet long, and the model is 16 inches long. What is the ratio of the length of the car to the length of the model?
a) 4:21
b) 7:16
c) 16:7
d) 21:4
What is the value of the expression?
3 • [(30 - 8) ÷ 2 + 2]
Answer: 39
Step-by-step explanation:
30-8=22
22/2=11
11+2=13
13 times 3 =39
16. In a proportion, if cross products are not equal, the proportion is
Step-by-step explanation:
A cross product is the result of multiplying the numerator of one ratio with the denominator of another. If the cross products are equal, then the ratios are proportional.
As part of their employee benefits , all workers at Middletown Electronics receive a pension that is calculated by multiplying the number of years worked times 1.56% of the average of their three highest years’ salary. Maureen has worked for Middletown for 30 years and is retiring. Her highest salaries are $107,000, $107,800, and $108,198. Calculate Maureen’s pension.
Maureen's pension would be $50,035.20.
What is Percentage?
To compute a percentage, divide the value by the entire amount and multiply the result by 100. A percentage is a quantity or ratio that is stated as a fraction of one hundred. The percent sign, "%," is frequently used to represent it.
First, we need to calculate the average of Maureen's three highest salaries:
Average = (107,000 + 107,800 + 108,198) / 3
Average = 322,998 / 3
Average = 107,666
Next, we need to calculate 1.56% of this average:
Percentage = 1.56% * 107,666
Percentage = 1,667.84
Finally, we multiply this percentage by the number of years worked to find the pension:
Pension = 30 * 1,667.84
Pension = 50,035.20
So, Maureen's pension would be $50,035.20.
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85°
4X° + 21°
X =
degrees
4x°+21°=85°?
4x=85°-21°
4x°=64°
x°=64°÷4°
x=16°
which is greater 1/4 or 0.75
Answer:
0.75 is greater
Step-by-step explanation:
1/4=0,25 and 0.75 is greater than 0,25
An opaque bag contains three red, two blue, and four green
marbles. What is the probability of randomly pulling out a red
marble, replacing it, then randomly drawing another red
marble?
Answer:
1/9Step-by-step explanation:
Probability of drawing 1st red marble
No. (red) / No. (total)3 / (3 + 2 + 4)3/91/3 - P(1)Probability of drawing 2nd red marble
It states it is replacedNumber of red is same as the beginning and total number is sameP(2) = P(1)1/3 - P(2)Probability
P(1) x P(2)1/3 x 1/3P = 1/91)10 = z+ 6
2) 8y = 48
3) q-12 = 1
6)11 = m-4
7)t-19=2
8)1+S = 3
9)24 = 4c
Please explain how these are solved please respond quickly
Given just the graph what 3 steps are required to write the equation of a line?
Answer:
Step-by-step explanation:
step 1:
determining the values for standard form for the equation of a line,
y = mx + c
Step 2:
calculation of m, where m is the gradient or slope which determines how steep the line is.
step 3:
calculation of c, where c is the height at which the line crosses the y - axis also known as y - intercept
What percent is represented by the shaded portion of this 10 × 10 grid? A grid model has 100 squares. 40 squares are shaded. StartFraction 4 Over 100 EndFraction percent StartFraction 40 Over 100 EndFraction percent 4% 40%
Answer:
40% \((\frac{40}{100})\)
Step-by-step explanation:
According to the given description of the 10 by 10 grid, 40 out of 100 squares are shaded.
Convert into a Fraction:
\(\frac{Shaded}{Squares} =\frac{40}{100}\)
Convert the fraction into a decimal:
\(\frac{40}{100} =0.4\)
Convert the decimal into a percent:
\(0.4*100=40\\\)
40%
So, the grid should represent 40%.
Answer:
40% got it right on the unit test.
Step-by-step explanation:
plzzzzzz help me for a brainly
Answer:
a triangle
Step-by-step explanation:
Cut the triangle vertically and you will get a triangle.
hope this helps :)
What is the area of a sector when r = 2 and 0 = 1.75 radians?
Step-by-step explanation:
Area of sector = (θ/2) × r2
= (1.75/2) × 2×2
= (0.875) ×4
= 3.5 In2
If a coconut has tree has 12 coconut on it if 25% of the coconuts fell to the ground how many fell
Answer:
It would be three coconuts hope this helped
Step-by-step explanation:
I WILL GIVE BRAINLIEST The toll on a bridge is $1.00 for cars and $2.50 for trucks. In one hour, a tollbooth operator collects a total of $105 in tolls.
Write an equation that represents the relationship between the number of cars, c, and the number of trucks, t, which could have passed by this tollbooth.
Answer:
The toll on a bridge is $1.00 \:for\: cars\: and\: $2.50 for trucks. In one hour, a tollbooth operator collects a total of $105 in tolls.
Equation :---
\(\boxed{c + 2.5t = 105}\)
Above equation represents the relationship between the number of cars, c, and the number of trucks, t, which could have passed by this tollbooth.
Please help me i'm cri.
A.
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, and 36
Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.
Common Factors: 1, 2, 3, 4, 6, and 12
-----
B.
Factors of 16: 1, 2, 4, 8, and 16.
Factors of 56: 1, 2, 4, 7, 8, 14, 28, and 56
Common Factors: 1, 2, 4, and 8
-----
C.
Factors of 30: 1, 2, 3, 5, 6, 10, 15 and 30.
Factors of 75: 1 , 3 , 5 , 15 , 25 and 75
Common Factors: 1, 3, 5, and 15.
-----
D.
Factors of 54: 1, 2, 3, 6, 9, 18, 27, 54
Factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90.
Common Factors: 1, 2, 3, 6, 9, and 18.
-----
E.
Whenever finding the greatest common factors of any pair of numbers it is necessary to list all the factors of each number. Then find the number that appears in both!
please help it’s due in a couple of minutes
Answer:
B would be the right answer
Step-by-step explanation:
Paula Ramos
Cade wants to learn more about chipmunks. Which of the following is a statistical question Cade could ask? O A. Do chipmunks live in Australia? OB. What is the smallest chipmunk ever recorded? O C. Do chipmunks hide nuts in the ground? O D. How much does a chipmunk weigh? SUBMIT
Solution
D) How much does a chipmuncks weigh
nickey won 2 games for every 5 games ryan won. if ryan won 15 more games than nickey, how many games did nickey win?
Nickey won 2 games for every 5 games Ryan won. if Ryan won 15 more games than Nickey, Nickey win 6 games.
Define arithmetic.The area of mathematics known as arithmetic deals with the study of numbers and the numerous operations that can be performed on them. Addition, subtraction, multiplication, and division are the fundamental mathematical operations. The sum of a set of numbers divided by the total number of numbers in the set is known as the arithmetic mean or arithmetic average in mathematics and statistics. Mathematical branch known as arithmetic deals with the study and use of numbers, relationships between numbers, and observations on numbers.
Given
Nickey won 2 games for every 5 games Ryan won
Fraction
2/5
If Ryan won 15 more games than nickey,
Dividing
15/5
3
Multiplying
3 × 2
6
Nickey won 2 games for every 5 games ryan won. if Ryan won 15 more games than Nickey, Nickey win 6 games.
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Simplify: ( 1/5 - 1/10) × 3² - 4/5 a. 1/10 b.9/10 c.11/10 d.21/10
Answer:
A. 1/10
Step-by-step explanation:
Step 1: Parenthesis
1/10(3²) - 4/5
Step 2: Exponents
1/10(9) - 4/5
Step 3: Multiply
9/10 - 4/5
Step 4: Conversion
9/10 - 8/10
Step 5: Subtract
1/10
Answer:
A. 1/10Step-by-step explanation:
1) write down the equation:
(1/5 - 1/10)*3^2 - 4/5
2) common denominators:
(2/10 - 1/10)*9 - 8/10
3) combine the fractions with like denominators:
(1/10)*9 - 8/10
4) multiply out the parenthesis:
9/10 - 8/10
5) combine the fractions with like denominators:
1/10
The answer is 1/10, which is A
Tell whether a triangle can have sides with the given
lengths. Explain.
41. Z ,Z ,3z when z = 5
Answer:
No, a triangle cannot have sides with the given lengths. That is because the sum of any two of the sides must be greater than the third side. In this case, the sum of 5 and 5 is less than the third side, 15.
Step-by-step explanation:
z = 5
3 (5) = 15
Triangle sides: 5, 5, 15
5 + 5 = 10
10 < 15
i hope this helps and is right! p.s. i really need brainliest :)
Ali used 2/7 of a foot of ribbon to attach a decoration to his rearview mirror. Now, he has 10/21 of a foot of ribbon left.
QUESTION: How much ribbon did Ali start with?
The quantity of ribbon that Ali started with was 16/21 feet, based on the mathematical operation of addition.
What are mathematical operations?The basic mathematical operations include addition, subtraction, division, and multiplication.
In the addition operation, two or more addends are added to obtain a result called the sum or total using the equation symbol (=) and the addition operand (+).
The quantity of ribbon attached to the rearview mirror = 2/7
The remaining quantity of ribbon after the attachment = 10/21
The quantity of ribbon Ali started with = 16/21 (2/7 + 10/21)
Thus, using the addition operation, we can conclude that Ali started with 16/21 feet of ribbon.
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does anyone know how to solve this? and if so can you put an explanation? ive been struggling with this question for a while
Answer:
x = 31
Step-by-step explanation:
So, the angle of a line is 180 degrees. This is a very important fact, because this means that (5x - 16) + (x + 10) = 180 degrees.
Note: The parenthesizes are not needed, but I put them there to symbolize the adding of those two angles that make up the line.
Adding like terms, we get:
6x - 6 = 180
Move the -6 over to the right side.
We get:
6x = 186
Dividing both sides by 6, we get the value of x:
x = 31
If you have any questions, please don't be afraid to ask!
Fill in the table 'using this function rule.
y = -5x+2
x
-1
0
1
2
y
0
0
0
X
4
S
Answer:
7, 2, -3, -8
Step-by-step explanation:
y = -5x + 2 Substitute in -1 for x
y = -5(-1) + 2
y = 5 + 2
y = 7
y = -5x + 2 Substitute in 0 for x
y = -5(0) + 2
y = 0 + 2
y = 2
y = -5 + 2 substitutes in 1 for x
y = -5(1) + 2
y = -5 + 2
y = -3
y = -5x + 2 Substitute in 2 for x
y = -5(2) + 2
y = -10 + 2
y = -8
Helping in the name of Jesus.
Which of the following is the correct boolean expression to test for:
int x is being a value between, including, 500 and 650, or int y not equal to 1000?
O ((x >= 500 && x <= 650)|| (y != 1000))
O ((x > 500 AND x < 650) OR !(y. equal(1000)))
O ((x > 500 && x < 650) || (y != 1000))
O ((x < 500 && x > 650) || !(y == 1000))
The correct boolean expression to test for int x being a value between, including, 500 and 650, or int y not equal to 1000 is:
((x >= 500 && x <= 650)|| (y != 1000))
This expression uses the "&&" operator to test for x being greater than or equal to 500 and less than or equal to 650, and the "||" operator to test for y not being equal to 1000. The expression is using the correct comparison operators and logical operators to test for the desired conditions.
A boolean expression is a statement that evaluates to either true or false. It is commonly used in programming to control the flow of a program, as the result of a boolean expression can be used to determine whether a certain block of code should be executed or not.
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