To prove quadrilateral WXYZ is a parallelogram, Travis begins by proving △WZY ≅ △YXW by using the SAS congruency theorem. Which reasons can Travis use to prove the two triangles are congruent? Check all that apply.
Answers
Answer:
∠ZWY ≅ ∠XYW by the alternate interior ∠s theorem,
WY ≅ WY by the reflexive property
WZ ≅ XY by the given.
Step-by-step explanation:
The option:
WX ≅ ZY by definition of a parallelogramcan't be used because we want to prove that WXYZ is a parallelogram
The Alternate Interior Angles Theorem states that, when two parallel lines (here XY and WZ) are cut by a transversal (here WY), the resulting alternate interior angles (here ∠ZWY and ∠XYW ) are congruent.
The reflexive property of congruence states that an angle, line segment, or shape is always congruent to itself. Here, WY ≅ WY.
Answer:
[A] ∠ZWY ≅ ∠XYW by the alternate interior ∠s theorem.[B] WY ≅ WY by the reflexive property.[E] WZ ≅ XY by the given.Explanation:
Related Questions
A factory can work its employees no more than 5 days a week, and no less than 2 days per
week. Create an inequality to represent the range of days an employee can work. Solve the
inequality to determine the range in hours. Show all of your work and explain each of your
steps. Explain your answer.
Answers
Answer:
2 ≤ x ≤ 5
Step-by-step explanation:
If x = number of days worked
According to the question:
Employees cannot work for more than 5 days per week: that is maximum working days per week is 5 - - - (1)
x ≤ 5 - - - (1)
Employees cannot work for less Than 2 days per week, that is minimum working days per week is 2 days
x ≥ 2 - - - (2)
Combining both conditions (1) and (2) such that the both Inequality sign are the same :
If x ≥ 2 ; then 2 ≤ x
Combining 2 ≤ x and x ≤ 5
We have ;
2 days ≤ x ≤ 5 days
PLEASE ANSWER ASAP I WILL MARK BRAINLY
Answers
Answer:
multiplication property of equality
Step-by-step explanation:
Since we are multiplying by the same amount on each side, we are using the multiplication property of equality
Answer: Multiplication Property of Equality
Step-by-step explanation:
This property states that while simplifying an expression, you can multiply both sides of the equation by any number, and it will stay true. This property is useful here, because multiplying a fraction by its reciprocal = 1, so the expression would become 1x=-128.
Hope it helps <3
What is the slope of line a?
Answers
Answer:
-1/3
Step-by-step explanation:
Slope is defined as "rise over run". If you count out the units, you should be able to see that your rise is 1 and your run is 3 and is pointing downward, so your answer is -1/3.
Alternatively you could use Slope Formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex]
50 people took a driving test. 18 of the 50 people are women. One quarter of the men failed the driving test. The number of men who passed the driving test was 8 more than the number of women who passed the test. A person is chosen at random. What is the probability that they passed the driving test? Write your answer as a decimal.
Answers
Answer:
Step-by-step explanation:
No. of people who took the test = 50
No. of women who took the test = 18
Therefore, no. of men who took the test = 50 - 18 = 32
No. of men who did not pass the test = 1/4 × 32 = 8
No. of men who passed = 32 - 8 =24
The no. of men who passed is 8 more than the no. of women who passed Therefore, the no. of women who passed = 24 - 8 = 16
No. of women who failed = 18 - 16 = 2
Total no. of people who passed = 24 + 16 = 40
Total no. of people that didnt pass = 2 + 8 = 10
Therefore probability that they passed = 50/40 = 1.25
Hope this help : ) . Have a nice day !
Answer: The probability is 0.8
Step-by-step explanation:
Total who took the test = 50
Women who took the test = 18
50 - 18 = 32 is the number of men
32/4 = 8 men who did not pass
Men who passed = 32 - 8 =24
To find the number of women who passed : 24 - 8 = 16
Total of people who passed = 24 + 16 = 40
Number who passed out of total people = 40/50 Converted ro decimal: 0.8
So the probability of randomly selecting a person who passed is 0.8
For three consecutive numbers, the sum of the first number, twice the second, and 7
less than the third is 133. What are the three numbers?
Answers
Answer:
a = 34
b = 34
c = 36
Step-by-step explanation:
a ; b ; c = consecutive numbers =>
b = a + 1
c = a + 2
a + 2b + c - 7 = 133
a + 2(a + 1) + (a + 2) - 7 = 133
a + 2a + 2 + a + 2 - 7 = 133
4a = 133 + 7 - 4
4a = 136
a = 34
b = 34
c = 36
Ruth has a beaker containing a solution of 800 mL of acid and 200 mL of water. She thinks the solution is a little strong, so she drains 100 mL from the beaker, adds 100 mL of water, and stirs the solution. Ruth thinks the solution is still too strong, so again she drains 100 mL from the beaker, and adds 100 mL of water. How many mL of water are now in the beaker?
Answers
Answer:
Step-by-step explanation:
Ok so the beaker is 200 water:800 acid
So she drains 100 from the acid and 100 from the water which equals
100:700
Then she adds 200 water:
300:700
there is 300 mL water in da beaker now
i might got it wrong tho
Someone explain this to me
Answers
Answer: a) y = f(x - 6)
b) y = f(x) - 2
Step-by-step explanation:
For transformations we use the following formula: y = a f(x - h) + k
a = vertical stretchh = horizontal shift (positive = right, negative = left)k = vertical stretch (positive = up, negative = down)a) f(x) has a vertex at (-1, 1)
M has a vertex at (5, 1)
The vertex shifted 6 units to the right → h = +6
Input h = +6 into the equation and disregard "a" and "k" since those didn't change. ⇒ y = f(x - 6)
b) f(x) has a vertex at (-1, 1)
N has a vertex at (-1, -1)
The vertex shifted down 2 units → k = -2
Input k = -2 into the equation and disregard "a" and "h" since those didn't change. ⇒ y = f(x) - 2
OKK 90 POINTS!!!! HURRY PLZZZ!!! 1. A tree casts a shadow that is 35.6 feet long. At that time, the angle of elevation of the sun is 45°. (It’s called angle of elevation because we have to raise, or elevate, our eyes to see the sun). Let’s find the height of the tree. Label the height of the tree as x on your diagram. (Part A) Explain why tan 45o (the ratio of opposite to adjacent) could help us find the height. (Part B) Use the given diagram to complete the trigonometric equation below: (Part C) Use your calculator to find the value of tan 45°. In your equation, replace tan 45° with this number, and solve your equation to find the tree’s height.
Answers
Answer:
A) tan(45°) help us to find the height of the tree because it relates our unknown with a known length (the length of the shadow)
B) tan(45°) = x/35.6
C) x = 35.6 ft
Step-by-step explanation:
B) From definition:
tan(45°) = opposite/adjacent
opposite to angle 45° is x ( the height of the tree), adjacent to angle 45° is the length of the shadow (35.6 ft). Replacing into the equation:
tan(45°) = x/35.6
C) tan(45°) = 1
Then:
1 = x/35.6
35.6 ft = x
#1
tanØ=Perpendicular/HypotenuseAs here base is given
We need the height or perpendicular
so tangent is the easiest way to be used
#2(No problem given,may refering to part C)
#3
tanØ=sinØ/cosØtan45=sin45/cos45as sin45=cos45
tan45=sin45/sin45tan45=1Put value
tan45=h/35.6h=35.6tan45h=35.6ftBRAINLY: Ken is working this summer as part of a crew on a
farm. He earned $8 per hour for the first 10 hours he
worked this week. Because of his performance, his
crew leader raised his salary to $10 per hour for the
rest of the week. Ken saves 90% of his earnings from
each week. What is the least number of hours he
must work the rest of the week to save at least $270 for the week? Please show how you got your answer
Answers
Answer:
22 hours
Step-by-step explanation:
Ken saves 90% of his earnings.
So, he must earn
270/x =90/100
90x=270*100
90x=27,000
x=27000/90
=300
x=$300 to save $270
For starting 10hours, Ken earns $8 per hour so he earns total
$8*10 hours=$80
Now, Ken has to earn remaining
$220 at a rate of $10/hour, he must work for at least
$220/$10
=22hours
Stefanie is in a freestyle aerial competition. The equation
h = - 16t + 30t +10 models Stefanie's height h, in
feet, t in seconds after leaving the ramp.
a. How long is Stefanie in the air?
B. When will Stefanien reach a height of 15 feet?
Answers
Answer:
A = about 2.2 seconds
B = between 0.2 and 1.7 seconds
Step-by-step explanation:
A .to calculate the time in the air, we have to replache h=0.
h = - 16t + 30t +10
0 = - 16t + 30t +10
For: ax2+ bx + c
x =[ -b ± √b²-4ac] /2a
a=-16 ; b=30 ; c=10
Replacing with the values given:
x =[ -30 ± √(30)²-4(-16)10] /2(-16)
x = [ -30 ± √900 +640] /-32
x = [ -30 ± √1,540] /-32
x = [-30 ± 39.24] /-32
Negative:
x = [-30 -39.24] /-32 = 2.16 seconds = about 2.2 seconds
B. .to calculate this, we have to replache h=15.
15 = - 16t + 30t +10
0 = - 16t + 30t +10-15
0= - 16t + 30t -5
a=-16 ; b=30 ; c=-5
Applying the quadratic formula again:
x =[ -30 ± √(30)²-4(-16)-5] /2(-16)
x = [ -30 ± √900-320] /-32
x = [ -30 ± √580] /-32
x = [-30 ± 24.08] /-32
Positive:
x = [-30 +24.08] /-32 = 0.18 seconds =0.2 seconds
Negative:
x = [-30 -24.08] /-32 = 1.7seconds
Feel free to ask for more if needed or if you did not understand something.
A circle has a central angle measuring StartFraction 7 pi Over 10 EndFraction radians that intersects an arc of length 33 cm. What is the length of the radius of the circle? Round your answer to the nearest whole cm. Use 3.14 for Pi.
Answers
Answer:
15 cm.
Step-by-step explanation:
It is given that,
Central angle [tex]=\dfrac{7\pi}{10}[/tex]
Arc length = 33 cm
Formula for arc length :
[tex]s=r\theta[/tex]
where, s is arc length, r is radius and [tex]\theta[/tex] is central angle in radian.
Substitute s=33 and [tex]\theta=\dfrac{7\pi}{10}[/tex] in the above formula.
[tex]33=r\left(\dfrac{7\pi}{10}\right)[/tex]
Multiply both sides by 10.
[tex]330=7\pi r[/tex]
Divide both sides by [tex]7\pi[/tex].
[tex]\dfrac{330}{7\pi}= r[/tex]
Put [tex]\pi=3.14[/tex]
[tex]\dfrac{330}{7(3.14)}= r[/tex]
[tex]15.0136= r[/tex]
[tex]r\approx 15[/tex]
Therefore, the radius of the circle is 15 cm.
Answer:
15
Step-by-step explanation:
Graph the line that passes through the points (2, 1) and (1, -2) and determine the equation of the line.
Answers
Answer:
y = 3x - 5
Step-by-step explanation:
Slope Formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex]
Slope-Intercept Form: y = mx + b
Step 1: Find slope
m = (-2 - 1)/(1 - 2)
m = 3
Step 2: Find b
y = 3x + b
-2 = 3(1) + b
-2 = 3 + b
b = -5
Step 3: Rewrite linear equation
y = 3x - 5
Step 4: Graph using graphing calc
suppose triangle ABC is reflected over the x-axis. If the distance between point A and the x-axis is 7, what is the distance between the x-axis and A
Answers
Answer:
7
Step-by-step explanation:
If A is 7 units away from the x-axis then the x-axis is seven units away from A.
That's if I read the question right.
Answer:
7
Step-by-step explanation:
(4x - 5y + 3z) + (-4x +5y +3z)
Answers
Answer:6z
Step-by-step explanation:
Question:
(4x - 5y + 3z) + (-4x +5y +3z)
First Step:
Remove parenthesis
4x - 5y + 3z + -4x +5y +3z
Second Step:
Add like terms
4x + -4x = 0
-5y + 5y = 0
3z + 3z = 6z
Final Answer
6z
<!> Brainliest is much Appreciated! <!>
Answer:
6z
Step-by-step explanation:
(4x - 5y + 3z) + (-4x +5y +3z)
Combine like terms
4x - 4x -5y +5y +3z+3z
0+0+6z
6z
Which of the following are roots of the polynomial function? Check all that apply f(x) = x^3 + 3x^2 - 9x + 5
Answers
Answer:
x = 1 or x = -5
Step-by-step explanation:
Solve for x:
x^3 + 3 x^2 - 9 x + 5 = 0
The left hand side factors into a product with two terms:
(x - 1)^2 (x + 5) = 0
Split into two equations:
(x - 1)^2 = 0 or x + 5 = 0
Take the square root of both sides:
x - 1 = 0 or x + 5 = 0
Add 1 to both sides:
x = 1 or x + 5 = 0
Subtract 5 from both sides:
Answer: x = 1 or x = -5
....................................................................
Answers
Answer:
C.
Step-by-step explanation:
The answer to this question is C. I learned this in 6th grade math and when i did i knew how to solve these by seeing the problem closely and using a calculator...for some of these questions you will have to divide or multiply by percentage.
hope this helped look at the comments below i gave u something..
Please answer this question now
Answers
Answer:
The midpoint is (8,9.5)
Step-by-step explanation:
The midpoint is found by averaging the x coordinates and the y coordinates
x = (x1+x2)/2 y = (y1+y2)/2
x = (13+3)/2 = 16/2 = 8
y = (5+14)/2 = 19/2 = 9.5
The midpoint is (8,9.5)
plsss help me withhh mathhh
Answers
Answer:
c is right
Step-by-step explanation:
How many people are in the set C N D?
4
6
36
38
Answers
Answer:
A. 4 people
Step-by-step explanation:
Numbers 15, 3, 1, and 21 are all in common with C & D. This is totaled up to 4 people.
Answer: 4
Step-by-step explanation:
edge
A)f(x)=(x-1)(x+2)(x+4)
B)f(x)=(x-8)(x-4)(x-2)(x+1)
C)f(x)=(x-1)(x+2)(x+4)(x+8)
D)f(x)=(x-4)(x-2)(x+1)
Answers
Answer:
B) f(x) =(x-8)(x-4)(x-2)(x+1)
gooooooooooooooooooooooooooooooooooooooooooooooooooooooood moring got another question
Answers
Answer:
[tex]x[/tex] = 12
Step-by-step explanation:
This question is asking what [tex]x[/tex] equals and in order to find the answer, we need to subtract 25 - 13 which equals 12.
What is the solution to this system of linear equations?
y − x = 6
y + x = −10
1.(−2, −8)
2.(−8, −2)
3.(6, −10)
4.(−10, 6)
Answers
Answer:
(-8, -2)
Step-by-step explanation:
Combine these equations: You'll get 2y = -4, so that y = -2.
Substituting -2 for y in the second equation, you'll get -2 + x = -10, or x = -8
Thus the solution is (-8, -2)
Beth is designing a business card. She makes a scale drawing of her old business card by using a scale factor of 5/4. Her scale drawing is a 2 and 1/2 by 5-inch rectangle. The print shop says that the scale drawing is a reduction of the original card because the original card must be 3 and 1/8 inches by 6 and 1/4 inches. Which explains the print shop's error and gives the correct dimensions of Beth's original card?
a.The scale factor is greater than 1 so the scale drawing is an enlargement, and the original card is 2 inches by 4 inches.
b.The scale factor is greater than 1 so the scale drawing is an enlargement, and the original card is 3 and 3/4 inches by 6 and 1/4 inches.
c.The scale factor is a fraction so the scale drawing is a reduction, and the original card is 2 inches by 4 inches.
d.The scale factor is a fraction so the scale drawing is a reduction, and the original card is 3 and 3/4 inches by 6 and 1/4 inches.
Answers
Answer:
IT IS A..
Step-by-step explanation:
100 % sure
Select all the correct answers.
Based on the side lengths given (a, b, and c), which triangles are right triangles?
a = 4,b= 6,c=8
a = 6,b=8,c=10
a =5,b= 6,c = 761
a = 6,b= 9,c = 12
Answers
Answer:
a = 6, b = 8, and c = 10.
Step-by-step explanation:
You can easily use the Pythagorean Theorem to solve all of these.
a = 4; b = 6; c = 8... 4^2 + 6^2 = 16 + 36 = 52. 8^2 = 64. 52 is not equal to 64, so the first choice is not a right triangle.
a = 6; b = 8; c = 10... Well this is a multiple of the 3-4-5 Pythagorean triple, so this is a right triangle.
a = 5; b = 6; c = 761... 5^2 + 6^2 = 25 + 36 = 61. 761^2 = 579121, which is not equal to 61, so the third choice is not a right triangle.
a = 6; b = 9; c = 12... 6^2 + 9^2 = 36 + 81 = 117. 12^2 = 144, which is not equal to 117, so the fourth choice is not a right triangle.
The only case where there is a right triangle is the second choice, where a = 6, b = 8, and c = 10.
Hope this helps!
Answer: a= 5,b = 6,c = 8 and a=6,b = 8,c = 10
Step-by-step explanation: I found the correct answer on my test so hopefully this help you! :)
1. Without graphing, identify the quadrant in which the point (x, y) lies if x > 0 and y<0.
A.IV
B.III
C.I
D.II
Answers
Answer:
A
Step-by-step explanation:
The quadrants are numbered from top right in a counter clockwise fashion. Since we know x is positive and y is negative, we can find that it is the fourth quadrant.
6f = 24 pls help!!!!!!!!!!!!!!
Answers
Answer:
f=4
Step-by-step explanation:
6f = 24
÷6 ÷6
f=4
Answer:
f = 4
Step-by-step explanation:
6f = 24
f = 24/6
f = 4
PLSSS HELP! Can someone pls tell me how to do this. y=1/3(x+2)^2, y=x+3
Answers
Answer:
There you go.
Step-by-step explanation:
Please do tell me if it's wrong.
erza is training for a track race. He starts by sprinting 100 yards. he gradually increases his distance, adding 5 yards a day for 21 days. Which explicit formula models this situation? A. an=100 + (n-1)21 B. an=100 + (n-1)5 C. an=5 + (n-1)100 D. an=21 + (n-1)5
Answers
Answer:
Option B.
Step-by-step explanation:
It is given that erza is training for a track race. He starts by sprinting 100 yards. he gradually increases his distance, adding 5 yards a day for 21 days. So, the required sequence is
100, 105, 110, 115, ...
It is an AP. Here,
First term = 100
Common difference = 5
Explicit formula for an AP is
[tex]a_n=a_1+(n-1)d[/tex]
where, [tex]a_1[/tex] is first term and d is common difference of the AP.
Substitute [tex]a_1=100\text{ and }d=5[/tex] in the above formula.
[tex]a_n=100+(n-1)5[/tex]
Therefore, the required explicit formula is [tex]a_n=100+(n-1)5[/tex].
Hence, option B is correct.
Please help i will mark brainliest for correct answers!
Answers
Answer:
9) 1/2 (or 1:2, or 50%, or .50, depending on how your teacher wants it.
10) 2/3 (or 2:3, or 66.6%, or 0.66)
Step-by-step explanation:
9) Here are the possibilities of the cards you could pick
KQ, KJ, K10, QJ, Q10, J10
Since there are 6 possibilities and only 3 of them have one face card, the probability is 3/6, or 1/2.
10) It doesn’t matter which card you pick first. The second card has a 1 in 3 chance of being the same card (whatever it is). That means you have a 2 in 3 chance of it NOT being the same card. So the probability is 2/3.
Find the volume of a cylinder of radius 10 cm and height 22 cm. ANSWERS: 6,911.5 cm3 691.2 cm3 20.9 cm3 62.8 cm3
Answers
Answer:
[tex] = 6911.5 {cm}^{3} \\ [/tex]
Step-by-step explanation:
[tex]v = \pi {r}^{2} h \\ = \pi \times {10}^{2} \times 22 \\ = 6911.5 {cm}^{3} [/tex]
hope this helps you.