Answer:
∠ FGH = 125°
Step-by-step explanation:
The consecutive angles in a parallelogram are supplementary, then
∠ FGH + ∠ GHJ = 180° , that is
∠ FGH + 55° = 180° ( subtract 55° from both sides )
∠ FGH = 125°
Answer: m∠FGH = 125°
Step-by-step explanation:
In a parallelogram, adjacent angles are supplementary (add up to 180°).
From the diagram, we can see that m∠GHJ and m∠FGH are adjacent.
This means that:
m∠GHJ + ∠FGH = 180° where ∠FGH is ∠x and ∠GHJ = 55°
55° + m∠x = 180° (subtract 55 from both sides)
m∠x = 125°
Find the angles P, Q, R and S. P =3x , Q =x , R = 4x , S =2x
Answer:
Q=36°, P=108°, R=144°, S=72°.
Step-by-step explanation:
angle on a quadilateral is equal to 360°
so 3x+x+4x+2x =360°
10x=360°
x=26°
decide which point lies on the line that is parallel to AB and passes point P.
(fourth answer choice is J)
Need Help ASAP! Timed Assignment!
Mike and his friends bought cheese wafers for $2 per packet and chocolate wafers for $1 per packet at a carnival. They spent a total of $25 to buy a total of 20 packets of wafers of the two varieties.
Part A: Write a system of equations that can be solved to find the number of packets of cheese wafers and the number of packets of chocolate wafers that Mike and his friends bought at the carnival. Define the variables used in the equations. (5 points)
Part B: How many packets of chocolate wafers and cheese wafers did they buy? Explain how you got the answer and why you selected a particular method to get the answer. (5 points)
Answer:
Part A)
Our system of equation is:
[tex]\displaystyle \begin{aligned} 2x+y&=25\\x+y&=20\end{aligned}[/tex]
Where x represent the amount of cheese wafers bought and y represent the amount of chocolate wafers bought.
Part B)
Mike and his friends bought five cheese wafers and 15 chocolate wafers.
Step-by-step explanation:
Let cheese wafers be represented by x and let chocolate wafers be represented by y.
Part A)
They spent a total of $25. Since each cheese wafer cost $2 and each chocolate wafer cost $1, we can write that:
[tex]2x+1y=25[/tex]
Or, simply:
[tex]2x+y=25[/tex]
They also purchased a total of 20 packets of wafers. Hence:
[tex]x+y=20[/tex]
Our system of equation is:
[tex]\displaystyle \begin{aligned} 2x+y&=25\\x+y&=20\end{aligned}[/tex]
Where x represent the amount of cheese wafers bought and y represent the amount of chocolate wafers bought.
Part B)
Since both equations have the same coefficient for y, we can use elimination. First, multiply the second equation by negative one:
[tex]-x-y=-20[/tex]
Add it to the first equation:
[tex](2x+y)+(-x-y)=(25)+(-20)[/tex]
Simplify:
[tex]x=5[/tex]
So, five cheese wafers were bought.
Using the second equation again, we can see that:
[tex](5)+y=20\Rightarrow y=15[/tex]
So, 15 chocolate wafers were bought.
Notes:
If we wanted to solve this using substitution, we can subtract x (or y, doesn't really matter) from both sides from either equation. Using the second equation, this yields:
[tex]y=20-x[/tex]
Substitute this into the first:
[tex]2x+(20-x)=25[/tex]
Simplify:
[tex]x=5[/tex]
And we will acquire the same answer:
[tex]y=20-(5)=15[/tex]
Pls help with this
Will give brainliest
Answer:
First one 2(x^2-4)
Like that you can do
Step-by-step explanation:
Vote as brainliest
Answer:
4(a). 2(x^2 - 4)
(e). ab(a^2 - b^2)
5(a). (x + 2)^2
(d). (x - 4)^2
6(a). -(3x - )^2
(b). 2(x-5)(x+5)
Step-by-step explanation:
If this helps you, please give brainliest!
Jamal made 77% of his free throws and Brian ,made 62% of his. Jamal had a better record.
Answer:46
Step-by-step explanation:
Triangle P Q R is shown. Angle Q P R is a right angle. The length of hypotenuse Q R is 14.1 and the length of P R is 12.7. What is the measure of ∠R in △PQR? Round to the nearest degree. 26° 42° 45° 64°
Answer:
<R = 26degrees
Step-by-step explanation:
Making <R as the reference angle
Adjacent side = 12.7
Hypotenuse = 14.1
Cos <R = adj/hyp
Cos <R = 12.7/14.1
Cos <R = 0.9007
<R = arccos(0.9007)
<R =25.7
<R = 26degrees
Answer:
A. 26°
Step-by-step explanation:
I took it on EDG
2.
What is the slope of the line passing through the points (9,16) and
(3, 4)?
Answer:
2
Step-by-step explanation:
m = rise/run
m = (16-4) / (9-3)
m = 12 / 6 = 2
Find the missing side of the triangle and leave the answer in simplest radical form
Answer:
it would be radical 7
15 = x²+ 8
x²= 15 - 8
x²= 7 >>>>> radical 7 = x
Step-by-step explanation:
hope it helps
Answer:
x = √7.
Step-by-step explanation:
Using the Pythagoras theorem:
x^2 = (√15)^2 - (2√2)^2
x^2 = 15 - 8
x = √7.
Form a linear equation in two variables for each of the following :
a) Pak Osman bought x oranges and y apples with a total amount of RM50. He sold an orange and an apple for RM0.60 and RM0.70 respectively. After he sold all the fruits, he earned a profit of RM10.
b) The sum of numbers x and y is five times the difference between the two numbers. The value of x is greater than the value of y.
Step-by-step explanation:
a. (0.60x + 0.70y)- 50 = 10
<=> 0.60x + 0.70y = 60
b. (x+y) = 5(x-y)
x+y=5x-5y
<=> 4x - 6y = 0
How can you add eight 4s together so that the total adds up to 500?
find the quotient of this
Answer:
3.02 is the answer for this question if the answer is correct plz mark me as brainliest
Answer:
3.02
Step-by-step explanation:
51.34 ÷ 17 = 3.02
Can You Help Me Out Please
Answer:
x = -3
Step-by-step explanation:
3^x = 1/27
Rewriting
1/27 as 1/3^3 = 3^-3
3^x = 3^-3
Since the bases are the same, the exponents are the same
x = -3
Answer:
Step-by-step explanation:
4/81x
find the area of the polygon.
I WILL MARK BRANIEST PLS ANSWER
Answer:
15cm^2
Step-by-step explanation:
The given polygon is a parallelogram,
Area of a parallelogram = Base * Height
= 5cm * 3cm
= 15cm^2
Hope it helped :)
the answer for this is 7.5
or when run becomes 8
Step by Step Explanation:
taken triangle KLM.
Area of a triangle=
[tex] \frac{1}{2} \times base \: \times height[/tex]
[tex] \frac{1}{2} \times 5 \times 3 \\ [/tex]
[tex] \frac{1}{2} \times 15[/tex]
= 7.5 or when run becomes 8what is the binomial expansion of (x+1)^5
Answer: "A"
somewhat of a trick question
use pascals triangle (or binomial expansion)
0-1
1-1,1
21,2,1
3- 1,3,3,1
4- 1,4,6,4,1
5- 1,5,10,10,5,1
NOTICE THAT "A" has the 1,5,10,10,5,1 in the 5th row
Step-by-step explanation:
Solve 7x + 6 <3(x - 2).
A. {xlx>-3}
B. {xlx<-3}
C. {xlx<-2}
D. {x1x<0}
Answer:
x<-3
Step-by-step explanation:
Find two integers whose sum is -10 and product is 16
TWO INTERGES PLEASE
Answer:
-2 and -8
Step-by-step explanation:
-2 + (-8) = -10
-2 * -8 = 16
Which expression is a trinomial of degree 1?
Answer:
A
Step-by-step explanation:
Answer:
"C"
trinomial means three parts, degree 1 means highest exponent is 1
x & y are of degree 1 and there are three parts
Step-by-step explanation:
What is the image point of (4, 6) after the
transformation T5,2 O ry=-x?
Answer:
The image point is (-1,-2)
Step-by-step explanation:
Firstly, we have to reflect the given point over the line y = -x after which we perform the translation using the coordinate (5,2)
Mathematically;
If we reflect a point (x,y) over the line y = -x
we have the coordinate change to (-y,-x)
so, (4,6) becomes (-6,-4)
Then for the translation, we add 5 to the new x-axis coordinate, then add 2 to the new y-axis coordinate
we have this as;
(-6 + 5, 2-4) = (-1,-2)
!!!!!!!!!!!!!! Please read question correctly before answering
Answer:
19
Step-by-step explanation:
Conditional probability formula: A|B (A given B)= (A∩B)/B
So cold drink | large (cold drink given large)= (Cold∩Large)/Large
cold∩large= 5
large= 22+5= 27
5/27=.185185185
which i guess rounds to 19%
What is the solution to the system of equations graphed?
Answer:
D. (1, 5)
Step-by-step explanation:
the solution to the system of equations is the point of lines intersect => (1, 5)
I have been stuck on this all day, please explain how to do this
Answer:$3,700
Step-by-step explanation:
Gross sales are the total amount of sales a company earned throughout a specific period of time, without taking into consideration any costs involved with running a business. Gross sales do not factor in expenses related to running a business, also known as cost of goods sold (COGS), which get deducted when calculating net sales. For example, they do not account for costs associated with item production, employee wages, building rent, returns, theft or sales tax.
Gross Sales = $3,700
Gross sales are the total amount of sales a company earned throughout a specific period that is 3700 dollars.
What is income tax?Income tax is a tax applied on individuals or entities concerning income or profit earned by them.
Gross sales are the total amount of sales a company earned throughout a specific period, without taking into consideration any costs involved with running a business.
Gross sales do not factor in expenses related to running a business, also known as cost of goods sold (COGS), which get deducted when calculating net sales.
For example, they do not account for costs associated with item production, employee wages, building rent, returns, theft, or sales tax.
Gross Sales = $3,700
Learn more about sales;
https://brainly.com/question/15375944
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Is offering free credit on a new $30.000 car. You pay $3,000 down and then $900 a month for the next 30 months.
What is the slope of the line graph above?
1. The elevation of Death Valley, California, is -282 feet. The elevation
of Tallahassee, Florida, is 203 feet. The elevation of Westmorland,
California, is -157 feet.
a. Compare the elevations of Death Valley and Tallahassee using < or
>
b. compare the elevations of Death valley and westmorland.
PLSS ANSWER A AND B AND WHEN U DO SAY answer to “a” is....
answer to “b” is...
tysm !!!
Answer:
(a) Death Valley < Tallahassee
Death Valley is 485m below Tallahassee
(b) Death Valley < Westmorland
Death Valley is 125m lower than Westmorland
Step-by-step explanation:
It is a topic of direction numbers
(a) -282 - (- 157) = -125
the minus sign shows "below"
(b) -282 - 203 = -485
the minus sign shows "below"
A chewing gum consists of 30% corn syrup and 40% sugar. The rest was made up by gum Arabic. Find the weight of the Gum Arabic in a 25gm piece of the chewing gum. Max points pls just bloody answer it
Answer:
7.5 grams
Step-by-step explanation:
The percent of gum Arabic is 100 -30 -40 = 30 %
30% of 25 g =
.30 * 25
7.5 grams
Answer:
[tex]7.5gm[/tex]
Step-by-step explanation:
Solution:
[tex]100\% - 30\% - 4\% = 3\% \: arabic \\ 30\% \times 25 = 7.5[/tex]
Write 1.547x10^3 as an ordinary number
Answer:
1547
Step-by-step explanation:
10^3 is 1000 1.547 x 1000 = 1547.
Pls follow and mark answer as brainliest
Solve for x : 3(2x - 1) - (4-x) = 2(2x + 10 )
Answer:
6x-3-4+x=4x+20
7x-7=4x+20
7x-4x=20+7
3x=27
X=27/3
X=9
Answer:
(6×-3)-(-4+×)=4×+20
6×-3--4+×=4×+20
6×+1+×=4×+20
6×-4×=20-1
2×=19
devide by two both sides
×=9.5
What is the length of PR?
40°
Ο.
110
X
110
R
Ο Α. 11
Ο Β. 13
C. 81
Ο D. 9
Answer:
it's 9
Step-by-step explanation:
hope this helps <3
What is the slope of the line that is parallel to the given line and passes through the given point?
What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the given point?
What is the y-intercept of the line that is parallel to the given line and passes through the given point?
Answer:
What is the slope of the line that is parallel to the given line and passes through the given point?
-1/4
What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the given point?
y + 4 = -1/4(x + 2)
What is the y-intercept of the line that is parallel to the given line and passes through the given point?
-9/2
Step-by-step explanation:
Good lcuk for anyone who needs this<3
The equation of the line in point slope for is expressed as [tex]y - 2 = 3/2(x - 2)[/tex]
Since the line cross the y-axis at -1, hence the y-intercept of the line that is parallel to the given line and passes through the given point is (0, -1)
Equation of a line in point-slope form?The equation of a line in point-slope form is expressed as:
y - y0 = m(x - x0)
m is the slope
(x0, y0) is any point on the line
Using the coordinate points (2, 2) and (-2, -4)
Determine the slope
Slope = -4-2/-2-2
Slope = -6/-4
Slope = 3/2
Using the point (2, 2), the equation of the line in point slope for is expressed as:
[tex]y - 2 = 3/2(x - 2)[/tex]
Since the line cross the y-axis at -1, hence the y-intercept of the line that is parallel to the given line and passes through the given point is (0, -1)
Learn more on equation of a line here: https://brainly.com/question/18831322
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SOMEONE PLS HELP ME!!!
The axis of symmetry is a line that splits a graph into two mirror images. For a parabola, the axis of symmetry goes through the vertex and is a vertical line.
The axis of symmetry for this graph is x = -1.
Hope this helps!! :)