Answer:
[tex] \frac{x}{3} = 17 - 22 = - 5 \\ x = - 15[/tex]
Use the distance formula to determine whether ABCD below is a parallelogram. A(-3,2) B(-3,3) C (5,-3) D (-1.-5)
Answer:
ABCD is not a parallelogram
Step-by-step explanation:
Use the distance formula to determine whether ABCD below is a parallelogram. A(-3,2) B(-3,3) C (5,-3) D (-1.-5)
We have to find the length of the sides of the parallelogram using the formula below
= √(x2 - x1)² + (y2 - y1)² when given vertices (x1, y1) and (x2, y2)
For side AB
A(-3,2) B(-3,3)
= √(-3 -(-3))² + (3 -2)²
= √0² + 1²
= √1
= 1 unit
For side BC
B(-3,3) C (5,-3)
= √(5 -(-3))² + (-3 -3)²
= √8² + -6²
= √64 + 36
= √100
= 10 units
For side CD
C (5,-3) D (-1.-5)
= √(-1 - 5)² + (-5 - (-3))²
= √-6² + -2²
= √36 + 4
= √40 units
For sides AD
A(-3,2) D (-1.-5)
= √(-1 - (-3))² + (-5 -2)²
= √(2² + -7²)
= √(4 + 49)
= √53 units
A parallelogram is a quadrilateral with it's opposite sides equal
From the above calculation
Side AB ≠ CD
BC ≠ AD
Therefore, ABCD is not a parallelogram
What are the measures of the other three angles formed by the intersection?
Answer:
1 = 130
2 = 50
3 = 130
Step-by-step explanation:
Since we already know that one angle is 50 degrees, this also tells us that angle two is congruent to it because it is opposite to it. Now the two other adjacent angles, basically just do 180-50 to get 130.
How many more miles per gallon does Mrs. Sanchez get than Mr. White?
Mrs. Sanchez
y = 36x
Let x represent number of gallons and y represent numbers of miles.
Mr. White
# of gallons miles
2.5
76
5
152
15
456
18
547.2
miles per gallon
what numbers must be taken away from the sum of 6788678 and 1234567 to make it equal to the difference of the given numbers.
Given:
The two numbers are 6788678 and 1234567 .
To find:
The numbers that must be taken away from the sum of 6788678 and 1234567 to make it equal to the difference of the given numbers.
Solution:
Let x be the required number.
Sum of given numbers is:
[tex]6788678+1234567=8023245[/tex]
Difference of the given number is:
[tex]6788678-1234567=5554111[/tex]
The number x is taken away from the sum of 6788678 and 1234567 to make it equal to the difference of the given numbers.
[tex]8023245-x=5554111[/tex]
[tex]8023245-5554111=x[/tex]
[tex]2469134=x[/tex]
Therefore, the required unknown number is 2469134.
( Click on the photo to see fully)
How does this create two “congruent” right angle triangles when i thought it had to be similar in 3 ways to be congruent
Though these segments aren't marked congruent in the diagram, the two lines inside the circle making up the bases of the triangles are congruent as all radii are congruent. So the triangles are congruent by SAS.
If the graph of a quadratic function has x-intercepts at x = -1 and x = -2, what conclusions can be drawn about the function?
A. The roots of the function are 1 and 4.
B. The roots of the function are -1 and -2.
C. There is not enough information given to answer the question.
D. The zeroes of the function are 0 and 4.
What is the amplitude of the function?
2.
O
3
O
4
5
Answer: 3
Step-by-step explanation:
A student made an 85% on a test with 25 questions. What is the number
of questions that the student answered correctly? Round to the nearest
whole number*
The student answered 21 questions correctly on a test.
What is the Multiplication operation?In mathematics, Multiplication operations perform Multiplying values on either side of the operator.
For example 4×2 = 8
Since the student made an 85% on a test with 25 questions.
To determine the number of questions the student answered correctly, we need to multiply the number of questions by the percentage of questions answered correctly, which is 85%.
= 25 questions × 0.85
Apply the multiplication operation, and we get
= 21.25
Rounding to the nearest whole number,
= 21 questions
Thus, the student answered 21 questions correctly.
Learn more about Multiplication operations here:
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Sabrina has designed a rectangular painting that measures 60 feet in length and 40 feet in
width. Alfred has also designed a rectangular painting, but it measures x feet shorter on
each side. When x = 2, what is the area of Alfred's painting?
Answer:
100
Step-by-step explanation:
A die is tossed 24 times and lands on 1 three times. Suppose it is tossed 160 times. Find
the theoretical probability of landing on a 1.
a. 15
b. 20
C. 24
d. 13
select all ordered pairs y = 2/3 x+1 satisfy the function
Step-by-step explanation:
The linear equation in two variables is ,
[tex]\implies y = \dfrac{2}{3}x + 1 [/tex]
This equation is in slope intercept form . Now since this equation is in single system. Therefore it will have infinite number of solutions. The point through which it will pass on the Cartesian plane will be its solutions. Since options are not provided , so i am mentioning some coordinates which is the Solution . For graph refer to attachment.
Two solutions can be ,
[tex]\begin{cases} (-1.5,0) \\ (0,1) \end{cases}[/tex]
Quadrilateral WILDWILDW, I, L, D is inscribed in circle OOO. \overline{WI} WI start overline, W, I, end overline is a diameter of circle OOO. What is the measure of \angle D∠Dangle, D?
Answer:
135degrees
Step-by-step explanation:
Find the diagram attached.
Note that in a cyclic quadrilateral, the sum of the opposite side of the quadrilateral is 180degrres.
According to the diagram shown:
<D+<I = 180
<D+45 = 180
Subtract 45 from both sides
<D+45-45 = 180-45
<D = 180-45
<D= 135°
Hence the measure of <D is 135degrees
Answer: 135
Step-by-step explanation: khan academy
can you please help me
Answer:
I can see the picture can u resend it?
Step-by-step explanation:
Amir is solving the equation x2 + 8 +6=0 with the quadratic formula.
Which values could he use for a, b, and c?
A = 1, B = 8, C = -6
A = 1, B = -8, C = 6
A= -1, B = -8, C = -6
A = 1, B = 8, C= 6
Answer: The CORRECT answer is
a=1, b=8, c=6
Step-by-step explanation:
Took the quiz
The values that can be use for a, b and c in the equation 2x² + 7x − 5 = 0 are a = 1, b = 8, c = 6
Quadratic equation formula
The quadratic equation formula is represented as follows:
ax² + bx + c
where
a, b and c are unknown numbers. a is not 0x = unknownTherefore, lets model the quadratic equation x² + 8x + 6 = 0 to ax² + bx + c
Hence,
a = 1
b = 8
c = 6
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how do I calculate the perimeter of a base from a rectangular prism?
Answer:
To find the perimeter of a rectangle, add the lengths of the rectangle's four sides. If you have only the width and the height, then you can easily find all four sides (two sides are each equal to the height and the other two sides are equal to the width). Multiply both the height and width by two and add the results
Find the area of the figure. Round to the nearest tenth
Answer:
Find the area of each triangle and then add it up. As you are aware, to find the area of a triangle the equation is B times Height divided by 2. And to make it easier do the top left triangle and the top right triangle, add them together and then divide that by 2.
Step-by-step explanation:
3 time 5 equals 15 divided by 2 equals 7.5
5 times 8 equals 40 divided by 2 equals 20
7.5 plus 20 equals 27.5
27.5 times 2 equals 55
therefor your answer should be 55m
Can someone help me please? Ill mark brainliest c:
Victor sold cupcakes and cookies yesterday. Each cupcake sold for $2.25 and each cookie sold for $0.50. At the end of the
day, Victor had sold $95.25 worth of cookies and cupcakes. If he sold 68 cupcakes and cookies combined, how many
cupcakes were sold and how many cookies were sold?
answer:number of cupcakes sold is 13 Number of cookies sold is 27
Step-by-step explanation:
Let x represent the number of cupcakes that Victor sold. Let y represent the number of cookies that Jane sold. Each cupcake sold for $2.25 and each cookie sold for $0.50. At the end of the day, This mean Victor had 2.25x 0.5y = 42.75 - - - - - - - - - -1she sold 40 cupcakes and cookies combined, it means thatx y = 40Substituting x = 40 - y into equation 1, it becomes2.25(40 - y) 0.5y = 42.7590 - 2.25y 0.5y = 42.75- 2.25y 0.5y = 42.75 - 90- 1.75y = - 47.25y = - 47.35/-1.75y = 27x = 40 - yx = 40-27 = 13
An equation is formed when two equal expressions. The number of cupcakes that Victor sold is 35, while the number of cookies that Victor sold is 33.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the number of cupcakes sold be represented by x, while the number of cookies sold is represented by y.
Now, the total number of cupcakes and cookies sold combined is equal to 68. Therefore, the equation can be written as
x + y = 68
x = 68 - y
Also, Each cupcake sold for $2.25 and each cookie sold for $0.50. And the total sale that Victor made is of $95.25. Therefore, the equation can be written as,
2.25x + 0.50y = 95.25
2.25(68 - y) + 0.5y = 95.25
153 - 2.25y + 0.5y = 95.25
-2.25y + 0.5y = 95.25 - 153
1.75y = 57.75
y = 33
Now, substitute the value of x in the first equation.
x + y = 68
x + 33 = 68
x = 35
Hence, the number of cupcakes that Victor sold is 35, while the number of cookies that Victor sold is 33.
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What is the sum of 7z/x^2 - 4
Answer:
9x-4 / (x²-4)
Step-by-step explanation:
common denominator is 'x²-4' which is (x-2)(x+2)
the term '7x' already has that denominator but 2/x+2 becomes 2(x-2)/(x²-4)
now you can add 7x to 2(x-2) which is 7x + 2x - 4 or 9x-4 and
your denominator remains as 'x²-4'
A counselor plans transportation for 120 students for a field trip using buses and vans.
• Exactly 120 students can fit in 2 buses and 2 vans.
Exactly 120 students can also fit in 1 bus and 6 vans.
.
Which statement is true?
Answer:
Each bus can fit
48
students, while each van can fit
12
students.
Step-by-step explanation:
Please helpppp i don’t understand
Answer:
Think the answer will just be 5
Step-by-step explanation:
I don't use step by step so yeah
The mean of 12 numbers is 20 and the mean of another 8 numbers is 25 find the mean of the 20 numbers
Answer:
22
Step-by-step explanation:
mean is calculated as
mean = [tex]\frac{sum}{count}[/tex]
Given the mean of 12 numbers is 20 , then
[tex]\frac{sum}{12}[/tex] = 20 ( multiply both sides by 12 )
sum = 240
Given the mean of 8 numbers is 25 , then
[tex]\frac{sum}{8}[/tex] = 25 ( multiply both sides by 8 )
sum = 200
Total sum of the 20 numbers = 240 + 200 = 440, then mean of 20 numbers is
mean = [tex]\frac{440}{20}[/tex] = 22
Select each figure which the value of x is 42
Answer: 6
Step-by-step explanation: Sorry if it's wrong
- A store is located at P(50, -30). How long will it take a truck driving at
50 miles per hour to drive from warehouse N to this store?
Answer:
0.8 hour
Step-by-step explanation:
Given data
Coordinate
P(50, -30)
Say Wharehouse N has a coordinate of N(0,0)
We can find the distance between two coordinate by
d=√((x_2-x_1)²+(y_2-y_1)²)
d=√((50-0)²+(-30-0)²)
d=√50²+(-30)²)
d=√2500-900
d=√1600
d= 40 miles
We know that
Speed= distance/time
50= 40/t
t= 40/50
t= 0.8 hour
in a class room 1/6 of students are wearing blue shirts 2/3 are wearing white shirts there are 12 students how many are wearing shirts other than blue shirts?
Answer:
4 students
Step-by-step explanation:
what we know: 12 students, 2/3 are wearing blue, 1/6 are wearing red
first you have to make the fractions have the same denominator(2/3=4/6)
theres also 1/6 that are not wearing blue or red (1/6+4/6=5/6, 6/6-5/6=1/6)
so that makes it 2/6 of the students not wearing blue(1/6+1/6=2/6)
simplify(2/6=1/3)
1/3 of 12 is 4 (12÷3=4)
the equations are in parentheses and bolded, italicized, underlined.
hope this helps :)
Frank designed a net for a storage shed that he is going to construct out of metal. The design consists of a square base and four square sides, plus four triangular parts that make up the roof.
He had 250 square feet of metal to use to build the shed. (What is the surface area of the storage Shed that Frank Designed?) (Does Frank have enough metal to construct his design yes or no?)
Answer:
Yes, Frank does have enough, he has 250 metal and only has 228 surface area.
Step-by-step explanation:
You take all the triangles (4) and multipy 4 x 6 (24) then divide that by 2 (12) so now you know all the triangles are equal to 12. Then the squares, you multiply 6 x 6 (36) now you know all the squres are equal to 36 and then you add 12 + 12+12+12+36+36+36+36+36 and then you get 228.
What’s the answer for JLM? (Arc measure)
HELP PLEASE
Answer: Q is 55 and the left side = 180 hope this helped
Step-by-step explanation:
The equation of a line a is given by 3y=x+12
- Find line c that is perpendicular to line a and passes through the point (6, -8)
Answer:
Y+8=-3(x-6)
Step-by-step explanation:
If you spin the spinner 11 times, what is the best prediction possible for the number of times it will land on yellow?
Answer:50%
Step-by-step explanation:
A European swallow flies about 11 meters in 1 second.
How many kilometers could it fly in 15 minutes?
Answer:
9.9km
Step-by-step explanation:
11m times 60 seconds 660 m a minute 660m times 15 minutes 9900m per15 min 9900m divideded by 1000 9.9 km
there are 1000 meters in a kilometer