Answer:
∠W=110
∠X=110
∠Y=70
∠Z=70
Step-by-step explanation:
∠X+∠Y=180 (supplementary angles)
(13x-7)+(8x-2)=180
21x=189
x=9
∠X = 13x-7 = 13(9)-7 = 117-7 = 110
∠Y = 8x-2 = 8(9)-2 = 72-2 = 70
Since WX║ZY and WZ=XY, ∠Z=∠Y and ∠W=∠X
A construction worker drops a hammer while building the Grand Canyon skywalk 4,000ft above the Colorado River. Use the formula t=h−−√4 to find how many seconds it takes for the hammer to reach the river. Round your answer to the nearest tenth of a second.
Answer:
15.8
Step-by-step explanation:
We are asked to find how many seconds it takes for an object to fall from a height of 4,000ft. We will use the given formula, t=h−−√4. Substituting h=4,000, we find
t=4000−−−−√4=15.8
So, the hammer reaches the river after 15.8 seconds.
Shani has 2 chocolate bas. One has 60% cacao and the other 92% calco
What mass of each bar must she mix to obtain 400g of chocolate
with 72% cacao
Answer:
250 grams of the 60% cocoa bar and 150 grams of the 92% cocoa bar should be used.
Step-by-step explanation:
Given that Shani has 2 chocolate bars, one that had 60% cocoa and the other that had 92% cocoa, to determine what mass of each bar must she mix to obtain 400g of chocolate with 72% cocoa, the following calculation must be performed:
100 x 0.6 + 0 x 0.92 = 60
90 x 0.6 + 10 x 0.92 = 63.2
80 x 0.6 + 20 x 0.92 = 66.4
70 x 0.6 + 30 x 0.92 = 69.6
65 x 0.6 + 35 x 0.92 = 71.2
63 x 0.6 + 37 x 0.92 = 71.84
62.5 x 0.6 + 37.5 x 0.92 = 72
400 x 0.625 = 250
Thus, 250 grams of the 60% cocoa bar and 150 grams of the 92% cocoa bar should be used.
1. What is the LCM of 15 and 100?
a. 400
b. 300
c. 200
d. 100
Answer:
b. 300
i need 20 words this is filler
Nick, Sarah and Gavyn share some sweets in the ratio 2:3:3. Nick gets 28 sweets. How many did Gavyn get?
Answer:
42 sweets
Step-by-step explanation:
28 / 2 = 14 x 3 = 42
Hope that helps!
Select the correct answer.
Which function represents a function with zeros at -3,-1, 0, and 6?
A. y= (x-6)(x + 1)(x + 3)
B.y= x(x-3)(x - 1)(x + 6)
C. y= x(x-6)(x + 1)(x + 3)
D. y=(x-3)(x - 1)(x + 6)
Answer:
C
Step-by-step explanation:
The function is y=x(x-6)(x+3)(x+1). Therefore, option C is the correct answer.
Given that, a function with zeros at -3,-1, 0, and 6.
What are zeros of a function?The zero of a function is any replacement for the variable that will produce an answer of zero. Graphically, the real zero of a function is where the graph of the function crosses the x‐axis; that is, the real zero of a function is the x‐intercept(s) of the graph of the function.
Now, x=-3⇒x+3, x=-1⇒x+1, x=0 and x=6⇒x-6.
The function is y=x(x-6)(x+3)(x+1).
The function is y=x(x-6)(x+3)(x+1). Therefore, option C is the correct answer.
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3x-4y=11
3x+2y=2
please help, I need to find what the answer is for x and y
Answer:
I have attached a picture of me solving the equation.
Now you must be wondering how I got the answer, well first simplify the expression in y = mx + b. Then graph it on demos. Do the same thing for the other expression. Pick any point that lies on the line. That is your solution to the equation.
The green line is the expression of 3x - 4y = 11. I simplify the equation in y = mx + b giving me y = 3/4x - 11/4.
The orange line is the expression of 3x + 2y = 2. I simplify the equation in y = mx + b giving me y = -3/2x + 1.
Hope this helps, thank you !!
What does decreased mean in math?
Answer:
becoming less or fewer; diminishing. Mathematics. (of a function) having the property that for any two points in the domain such that one is larger than the other, the image of the larger point is less than or equal to the image of the smaller point; nonincreasing.
Step-by-step explanation:
BRAINLIST PLEASE!
Meaning of decreased in math is, get smaller in size, number or quantity.
We have to given that,
To defined decreased mean in math.
We know that,
We use minus sign to denote subtract, decreased by, take away, etc.
For example, Minus sign also means how much is one value more than the other value.
Hence, Meaning of decreased in math is, get smaller in size, number or quantity.
Learn more about the mathematical expression visit:
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Are there any supplementary, vertical, or complimentary angles? If so wich ones
Supplementary: 1 and 2 & 3 and 4
Supplementary angles: A pair of angles whose sum is equal to 180°.
Vertical: 1 and 3 & 2 and 4
Vertical angles: A pair of opposite angles that are made by two intersecting lines.
Complimentary:
Complimentary angles: A pair of angles whose sum is equal to 90°.
Hope this helps! :D
Solve 5x ≥ 25. Graph the solution.
Answer:
Step-by-step explanation:
Alright so we are going to solve
5x ≥ 25 Divide both sides by 5
x≥5
Now select point D, and move it around. You will notice that moves with point D but remains parallel to . Check the box labeled Show Ratios of Intersected Segments to see the ratios AD : DB and AE : EC. What do you notice about the ratios as you move point D?
Answer: The ratios change as the position of D changes, but the two ratios remain equal to each other.
Step-by-step explanation:
Answer:
The ratios change as the position of D changes, but the two ratios remain equal to each other
Step-by-step explanation:
Which statement is an example of the symmetric property of congruence?
A. If AKLM = APQR, then APQR = AKLM.
B. If AKLM = APQR, then APQR - ASTU.
X Х
C. If AKLM = APQR, and APQR - ASTU, then AKLM - ASTU.
D. AKLM = AKLM
Answer:
D.AKLM = AKLM
Step-by-step explanation:
because D.AKLM = AKLM is an example of the symmetric property of congruence
The statement which represents the symmetric property of congruence is given by if ΔKLM ≅ ΔPQR , then ΔPQR ≅ ΔKLM
What are Congruent Triangles?Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape
The three sides are equal (SSS: side, side, side)
Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)
Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)
A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)
Given data ,
Let the first triangle be represented as ΔKLM
Let the second triangle be represented as ΔPQR
Now , the measure of sides and angles be congruent
So , ΔKLM ≅ ΔPQR
From the symmetric property of congruence ,
If the first figure is congruent to second figure , the second figure is congruent to first figure
ΔKLM ≅ ΔPQR , then ΔPQR ≅ ΔKLM
Hence , the ΔKLM ≅ ΔPQR and they are congruent triangles
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the sum of 2 integers are -396, if one is 64, find the other
F(x)=2x^3-3x^2+7 f(-1)=
Answer:
f(x)=6x^2-6x
Step-by-step explanation:
A girl is 6 years younger than her brother. The
product of their ages is 135. Find their ages.
=============================================================
Work Shown:
x = brother's age, which is some positive whole number
x-6 = sister's age, since she is 6 years younger than her brother
The product is the result of multiplication, so we multiply x and (x-6) to get 135
x*(x-6) = 135
x^2-6x = 135
x^2-6x-135 = 0
Use the quadratic formula to solve from here
We plug in a = 1, b = -6, c = -135
[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-6)\pm\sqrt{(-6)^2-4(1)(-135)}}{2(1)}\\\\x = \frac{6\pm\sqrt{576}}{2}\\\\x = \frac{6\pm24}{2}\\\\x = \frac{6+24}{2}\ \text{ or } \ x = \frac{6-24}{2}\\\\x = \frac{30}{2}\ \text{ or } \ x = \frac{-18}{2}\\\\x = 15\ \text{ or } \ x = -9\\\\[/tex]
x represents the brother's age, in years. So x must be positive.
Since x must be positive, this means we rule out x = -9
The value x = 15 is the only practical solution.
If x = 15, then x-6 = 15-6 = 9
The brother is 15 years old and the sister is 9 years old.
The product of their ages is 15*9 = 135, which confirms the answers.
Find the value of x for which L parallel m (3x-33) (2x+26)
Answer:
59
Step-by-step explanation:
Find the diagram attached
From the diagram, we can see that both given angles are vertically opposite angles, hence they are equal
3x - 33 = 2x+26
3x-2x = 26 + 33
x = 59
Hence the value of x is 59
find the area of EFG
Answer:
12ft
Step-by-step explanation:
Subtract Write your answer in simplest form. 11/12 - 3/6
Answer:
5/12 cannot simplify more further
Step-by-step explanation:
11/12 - 6/12 = 5/12
Answer:
5/12
Step-by-step explanation:
hope this helps have a nice day
Which expressions are equivalent? *
2 points
2+6x AND 2(3x+1)
3(x+1) - (1+x) AND 2x+3
3x AND 4(x+1) -1x - 4
5.5 + 2.1x + 3.8x - 4.1 AND 1.4 + 5.9x
Submit
What is 25% of 60? I need this answer right away
Answer:
15
Step-by-step explanation:
Answer:
2.4
Step-by-step explanation:
60÷25=2.4
If a cross section of a rectangular prism is cut perpendicular to the base, what would be the shape of the resulting cross section
Answer:
Step-by-step explanation:
We are given a rectangular prism as shown.
Part A: After slicing the rectangular prism with a plane parallel to the base, we see that the cross-sectional region will be similar to a rectangle.
Thus, the cross-sectional region is a RECTANGLE.
Answer:
triangle
Step-by-step explanation:
please help it’s due!!!
Answer:
33
Step-by-step explanation:
46/22=46+23/x
46x=22 times 69
46x=1518
x=33
Just as you are about to estimate a regression (due tomorrow), massive sunspots cause magnetic interference that ruins all electrically powered machines (e.g., computers). Instead of giving up and flunking, you decide to calculate estimates from your data (on per capita income in thousands of U.S. dollars as a function of the percent of the labor force in agriculture in 10 developed countries) using methods like those used in Section 2.1 (Yi = B0 + B1Xi + Ei) without using a computer. Your data are:Country A B C D E F G H I JPer Capita Income 6 8 8 7 7 12 9 8 9 10% in Agriculture 9 10 8 7 10 4 5 5 6 7a.) Calculate Beta-hat zero and Beta-hat one.b.) Calculate R2(r-squared) and R`2 (adjusted r-squared).c.) If the percent of the labor force in agriculture in another developed country was 8 percent, what level of per capita income (in thousands of U.S. dollars) would you guess that country had?
Answer:
A) Beta-hat one = -0.547
Beta-hat zero = 12.2837
b) attached
C) y = $7.904
Step-by-step explanation:
hello attached below is the detailed solution and the table
A) Calculate Beta-hat Zero and Beta-hat one
Beta-hat one :
∑ ( xi - x ) (yi - y ) / ∑ (xi - x )^2
= -22.4 / 40.9 = -0.547
Beta-hat zero :
Y - Beta-hat one * X
= 8.4 - (-0.547 )(7.1 ) = 12.2837
B) Calculate R^2 and R^2
attached below
C) using Regression equalia to determine the level of per capita income
y = 12.28 - 0.547 * x
where x = 8
hence Y = $7.904
Find the length of the missing side. Round answers to the nearest tenth it
necessary. *
8
8
what was the main difference between the French and British armies in the French and Indian War
What is the product of the rational expressions shown below ? Make sure your answer is in reduced form. Photo included . Multiple choice .
Answer:
( 1/x-5)*8x
(1*8x)/(x-5)
8x/x-5
Find the value of x if you solve one please say the question number and you dony have to show work
Answer:
question 1-- x=15
question 2-- x=21
Which operation should you perform first when evaluating the expression:
3 to the power of 2+2
Answer: the power so ans should be 81
Step-by-step explanation:
help me PLZ LUV YOU ALL
Answer:
1) AB = 10cm
2) 70 degrees
3) 12m
4) 10m
5) 32 degrees
6) 9 + 9 = 18m
Simplify -3a + 5b - c given a = 2, b = -1 and c= 10
Answer:
-21
Step-by-step explanation:
-3a + 5b - c
-3(2)+5(-1)-(10)=-21
Please help!!! (Look at picture)
Answer:
20,000 17000 17200.
Step-by-step explanation:
That's your answer.