Answer:
∠GFM= 124°
Step-by-step explanation:
∠GFH= 180° -90° -(5x +9)° (∠ sum of △FGH)
∠GFH= 90° -5x° -9°
∠GFH= (81 -5x)°
∠GFM +∠GFH= 180° (adj. ∠s on a str. line)
25x -1 +81 -5x= 180
20x +80= 180 (simplify)
20x= 180 -80 (-80 on both sides)
20x= 100
x= 100 ÷20 (÷20 on both sides)
x= 5
∴∠GFM
= 25x -1
= 25(5) -1
= 124°
Write the equation in slope-intercept form. Then identify the slope and the y-intercept.
6x + 2y = 10
Slope formula - y = mx + b
6x + 2y = 10
subtract x
2y = 10 - 6x
divide all by 2
y = 5 - 3x
y = -3x + 5
5 is the y-intercept, and -3x is the slope
hope this helps :)
2. Which system of inequalities are represented by the graph below:
a) y 2x + 4
y<-x + 4
b) y> 2x + 4
y <-X + 4
c) Y S-2x + 4
y>X-2
d) y 2x + 4
YS-X+4
tem of equations have?
Answer:
12
Step-by-step explanation:
Use the slope-intercept form y=mx+b to find the slope m and y-intercept b
.
Slope: 12
y-intercept: (0,−2)
A building 350 feet tall casts a shadow 1/2 mile long. How long is the shadow of a person five feet tall?
Answer:
37.7 feet
Step-by-step explanation:
1/2 mile is 2,640.. which you would do 2,640 ÷ 350 and it will give you some number... now with that number you would multiply that with 5.
El 10% de los huevos de un supermercado están rotos, haya la probabilidad de que un cliente que compra media docena de huevos encuentre como mucho un huevo roto
Answer:
La probabilidad de encontrar como mucho un huevo roto es 0,8857.
Step-by-step explanation:
Podemos calcular la probabilidad de econtrar un huevo roto usando la ecuación de distribución binomial:
[tex] P (x) = \left(\begin{array}{c}n&x\end{array}\right)p^{x}(1 - p)^{n-x} [/tex]
En donde:
p: es la probablidad de encontrar huevos rotos = 10% = 0,1
x: es el número de éxitos
n: es el número de ensayos = 6 (media docena de huevos)
Ahora, como nos piden la probabilidad de enontrar como mucho un huevo roto, esto quiere decir que debemos encontar la suma de la probablidad de encontar un huevo roto con la probabilidad de encontrar ninguno roto:
[tex] P = P(0) + P(1) [/tex]
[tex] P = \left(\begin{array}{c}6&0\end{array}\right)0,1^{0}(1 - 0,1)^{6-0} + \left(\begin{array}{c}6&1\end{array}\right)0,1^{1}(1 - 0,1)^{6-1} = 0,5314 + 0,3543 = 0,8857 [/tex]
Entonces, la probabilidad de encontrar como mucho un huevo roto es 0,8857.
Espero que te sea de utilidad!
There were 12 girls 9n the basketball team. 3 of them scored over 10 points in the game. What fraction represents the number of the girls on the team that scored over 10 points on the game?
Answer:
1/4
Step-by-step explanation:
i know
11. How much did the engineering project change the vertical height of the tower? Did the height increase or decrease? Explain how you found the amount of change. Give your answer in centimeters, rounded to the nearest centimeter. (4 points: 2 points for the change in height, 2 points for the explanation)
Answer:
when you find out let me know pls. thanks.
have a great day and good luck
Step-by-step explanation:
givin the standard form for a trinomial ax^2+bx+c, and factored form (px+r)(qx+s) match the following:
a=
b=
c=
to
(p*s)+(q*r)
r*s
p*q
Answer:
[tex]a = p*q\\b = (p*s)+(q*r)\\c = r*s[/tex]
Step-by-step explanation:
We are given the standard form of trinomial
[tex]ax^2+bx+c[/tex]
After factorization, the form is:
[tex](px+r)(qx+s)[/tex]
We have to compare the factored form and the standard form to find the values of a,b and c in terms of p,q,r and s. For this purpose, the factored form will be converted into standard form.
Multiplying the both factors
[tex](px+r)(qx+s)\\=px(qx+s)+r(qx+s)\\= pqx^2+psx+qrx+rs\\= pqx^2+(ps+qr)x+rs[/tex]
Comparing both forms with each other
After comparing
[tex]a = pq = p*q\\b = ps+qr = (p*s)+(q*r)\\c = rs = r*s[/tex]
Hence,
[tex]a = p*q\\b = (p*s)+(q*r)\\c = r*s[/tex]
Graph the equation y= -1/2x
The graph of equation y = - 1/2x is shown in attached image.
We have to given that,
Equation is,
⇒ y = - 1/2x
Since, The equation of line in slope intercept form is,
y = mx + c
Where, m is slope and c in y - intercept.
Here, equation is,
y = - 1/2x
Hence, It is passes through origin.
Therefore, The graph of equation y = - 1/2x is shown in attached image.
Learn more about the equation of line visit:
https://brainly.com/question/18831322
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Wendell would like to make some chocolate chips cookies. His recipe calls for the use of 1/2 cups of sugar per batch.he has 3 1/4 of sugar in his apartment. Accidentally, drops 1 cup of sugar on the floor. How many whole batches of sugar cookies can he make with the sugar he had leftover
Answer:
He can make 4 batches of sugar cookies.
Step-by-step explanation: 4x1/2=2 and because he lost 1 cup, he only has 2 cups left
Perform the indicated operations. 2−26 −48−16 07−6 76 −200 −73 Arrow −48−16 07−6 −200 −73 1−13 −48−16 07−6 38 −200 −73 Arrow 1-13 07−6 38 −73
Not certain if this question is complete
Answer and Step-by-step explanation:
We perform the operations given, using the rules of subtraction and addition on the number line:
Two negative signs adds up to a negative result, one negative number and positive number may add up to a negative or positive value depending on which is bigger :
2-26= -24( the positive value 2 reduces negative value by 2 and we are left with -24)
-48-16= -64( two negative values add up to a negative value)
07-6= 1( seven is bigger than 6 hence positive result)
We use the above method to solve the given expressions
+76-200-73= -124-73=-192
-48-16=-64
+7-6-200-73=-199-73=-272
+1-13=-12
-48-16=-64
+07-6=1
+38-200-73=-162-73=-235
1-13=-12
07-6=1
38-73= -35
1, -1, 3, 38 & 0, 2, -2, -24
simplify by using distributive property
3+11(2c+3)
Answer:
22c+36
Step-by-step explanation:
3+11(2c+3)
3+22c+33
3+33+22c
36+22c or 22c+26
Hey there!
In order to simplify this expression, all we have to do is distribute 11 by multiplying it times 2c and 3 and then combining like terms,
3+22c+33
As you can see, 3 and 33 are like terms; in order to simplify the expression, we should add them together.
36+22c
or
22c+36
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
[tex]\rm{Emotional~Helper}[/tex]
Help With Geometry Work Please!
Answer:
b
Step-by-step explanation:
i think
Brinlyn increased the amount of water she drank per day from 32 oz to 40 oz. By what percentage did Brinlyn increase the amount of water she drank each
day?
Answer:
20%
Step-by-step explanation:
Jackie rode her bike around McAllister Park last week. The trail is 8.54 miles long. If she rode around the park 4 times last week, how many miles did she travel in all?
Answer:
34.16 Miles Traveled
Step-by-step explanation:
If she rode around the 8.54 mile park four times you would multiply four by 8.54 to get your answer. Hope this helps!
The cost for each soda is $2.25. If your friend Calvin buys a certain number of Coca-Colas (c) and Mountain Dews (m), which answer choice shows an expression that represents the total cost of the Coca-Colas and Mountain Dews that Calvin bought?
Answer:
2.25(c+m)
Step-by-step explanation:
There are 4 sharks and 5 dolphins. Write the ratio of dolphins to animals.
Answer:
5:9
Step-by-step explanation:
Number of sharks = 4
Number of dolphins = 5
Number of animals = number of sharks + number of dolphins
Number of animals = 4 + 5 = 9
Therefore, the ratio of dolphins to animals = 5:9
Can someone please help me with this problem ? I would love y’all forever !
help me please due in 2 minutes
find the value of the x intercept -x+y=-5
Answer:
x=-5=(5,0)
Step-by-step explanation:
Answer:
X-intercept is five. The point is (5,0)
Step-by-step explanation:
X-intercept is when the line crosses the x-axis, ie when y is o. Sub zero in for y.
-x+y=-5
-x+0=-5
-x=-5
x=5
Write a unit rate for: 71 inches of cloth for $23.43.
Answer:
$0.33 per inch
Step-by-step explanation:
Divide cost by inch to get cost per inch.
Find the area of the trapezoid.
Answer:
b
Step-by-step explanation:
i took that test a while back.
What’s the answer for 5x + 12
6x
Answer:
8
Step-by-step explanation:
21x+12=180
21x= 168
x=8
Step-by-step explanation:
Both the angles added together create 180 degrees so,
15x+12+6x = 180
21x+12=180
21x=168
x=8
A two umn table with 5 rows. The first column, x, has the entries, negative 2, 0, 2, 4. The second column, y, has the entries, 6, 3.5, 1, negative 1.5. Which equations represent the data in the table? Check all that apply
Answer
A.y-6=-5/4(x+2)
D.y-1=-5/4(x-2)
E.y-3.5=-1.25x
Step-by-step explanation:
The equation which represents the data values given in the table written in slope - intercept form is y = - 1.25x + 3.50
The data given :
X ____ Y
-2 ____ 6
0 ____ 3.5
2 ____ 1
4 ____ - 1.5
We could represent the equation in the form :
y = bx + cb = slope = Rise / Run
b = slope = Rise / Run c = intercept
From the table :
Slope = (y2 - y1) ÷ (x2 - x1) = (6 - (-1.5)) / (-2 - 4) = 7.5/-6 = -1.25
Using any pair of (x, y) values, we can obtain the intercept value :
Using ; (2, 1)
1 = -1.25(2) + c
1 = - 2.50 + c
1 + 2.50 = c
c = 3.50
Therefore, the equation becomes ; y = - 1.25x + 3.50
Learn more :https://brainly.com/question/18405415
A number line going from negative 1 to positive 1 in increments of 1. There are 4 equal spaces between each number. Is −1 4 < −3 4 ? Use the number line to explain your answer. No, because Negative one-fourth is to the left of Negative three-fourths No, because Negative one-fourth is to the right of Negative three-fourths Yes, because Negative one-fourth is to the left of Negative three-fourths Yes, becauseNegative one-fourth is to the right of Negative three-fourths
Answer:
the answer is option B no because -1/4 is to the right of -3/4
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
3x²+5x-10=0 find the values of a,b and c
Answer:
a = 3
b = 5
c = -10
Step-by-step explanation:
ax^2+bx+c
what is 0.969696 repeating as a fraction?
Answer:
[tex]\frac{32}{33}[/tex]
HELP THIS IS DUE TONIGHT BY TWELVE I DINT KNOW HOW TO DO THIS!!!
Answer:it’s (2,5)
Step-by-step explanation:
If you help not only will I give you brainliest but also you gain good deeds.
2/3 - 2/5
= 10/15 - 6/15
= 4/15
Is 2.88 rational or irrational
Answer:
rational
Step-by-step explanation:
A rational number can be expressed in the form
[tex]\frac{a}{b}[/tex] ← where a and b are integers
Given
2.88
= 2 [tex]\frac{88}{100}[/tex]
= [tex]\frac{2(100)+88}{100}[/tex]
= [tex]\frac{288}{100}[/tex] ← in rational form
Answer:
2.88 is a rational number.
Step-by-step explanation:
A rational number is a number that can be expressed as a ratio or fraction. Since we can write 2.88 as a fraction, (72/25) we know that it is a rational number.
Other examples of rational numbers include:
-4
8
9/3
8.28
8.999999999...
Kiera wants to increase her savings account to a balance of $1,350. Her current balance is $174 and she adds $84 a month to her savings.
How many months will it take for her to reach her goal of $1,350?
18 months
16 months
12 months
14 months
Answer:
Her goal : 1350
What she has now: 174
she earns 84$ a month
answer is 14 months because 84* 14 is 1176 and if u add 174 $ to that it will give u 1350.
Step-by-step explanation: