1. Consider the figure below where ZV is parallel to WY.
W
Z
Q
U
Т)
X
113°
95°
S
D
Н.
B
by
Part A: Determine mVHT.
Part B: Determine mZQTS.
Part C: Determine m ZZHQ.
Answers
Answer:
Part A:
m∠VHT = 152°
Part B:
m∠QTS = 152°
Part C:
m∠ZHQ = 28°.
Step-by-step explanation:
Part A:
The given parameters are;
m∠HXU = 113°
Segment BQ and segment UD intersect at m∠XAT = 95°
We have that m∠HXU + m∠HXS = 180° (Angles on a straight line)
Therefore;
m∠HXU = 180° - m∠HXS = 180° - 113° = 67°
m∠HXU = 67°
m∠XAT + m∠XAH = 180° (Angles on a straight line)
m∠XAH = 180° - m∠XAT = 180° - 95° = 85°
m∠XAH = 85°
In triangle XAH, we have;
m∠XAH + m∠HXU + m∠XHA = 180° (Angle sum property of a triangle)
∴ m∠XHA = 180° - (m∠XAH + m∠HXU) = 180° - (85° + 67°) = 28°
m∠XHA = 28°
m∠VHT + m∠XHA = 180° (Angles on a straight line)
m∠VHT = 180° - m∠XHA = 180° - 28° = 152°
m∠VHT = 152°
Part B:
m∠QTS ≅ m∠VHT (Corresponding angles are congruent)
∴ m∠QTS = 152° (Substitution property)
Part C:
m∠ZHQ ≅ m∠XHA (Reflexive property)
∴ m∠ZHQ = 28°.
Related Questions
John takes one step every second, and each step is 33 inches long. How many miles per hour is John walking, given that 5280 feet = 1 mile? Express your answer as a decimal to the nearest thousandth.
Answers
Answer:
[tex]Speed = 1.875 miles/hour[/tex]
Step-by-step explanation:
Given
[tex]Speed = 33in/s[/tex]
Required
Convert to mile/hour
[tex]1\ inch = 1/63360\ mile[/tex]
[tex]1\sec = 1/3600\ hr[/tex]
So:
[tex]Speed = 33in/s[/tex]
[tex]Speed = \frac{33 * 1/63360}{1/3600}[/tex]
[tex]Speed = \frac{33/63360}{1/3600}[/tex]
[tex]Speed = \frac{33}{63360}/\frac{1}{3600}[/tex]
[tex]Speed = \frac{33}{63360} * \frac{3600}{1}[/tex]
[tex]Speed = \frac{33 * 3600}{63360}[/tex]
[tex]Speed = \frac{118800}{63360}[/tex]
[tex]Speed = 1.875 miles/hour[/tex]
Hence, John is working at 1875 miles per hour
Answer:
1.875 a hour
Step-by-step explanation:
It is this way because 33/12 is 2.75 so he is walking 2.75 feet a second
Multiply the second by 3600 and the 2.75 feet by 3600 and you get 9900
per hour divide 9900 by 5280 and you get 1.875
Pls answer its 2 in the morning I’m tryna get sleeppp
4
Mis the midpoint of CD. Given
the coordinates of one endpoint
C(10,-5) and the midpoint
M(4,0), find the coordinates of
the other endpoint D of CD.
a) (7.)
b) (-2)
c) (-2,5)
d) (7,5)
e) (1,1)
Answers
Answer:
(-2,5)
Step-by-step explanation:
use formula: m= ([tex]\frac{x^{1}+x^{2} }{2} , \frac{y^{1}+y^{2} }{2}[/tex])
midpoint(m) equals (4,0) and C is (10,-5)
C represents [tex](x^{1} ,y^{1})[/tex] and other endpoint D represents [tex](x^{2}, y^{2} )[/tex] so:
(4,0) = [tex](\frac{10+x^{2} }{2} , \frac{-5+y^{2} }{2} )[/tex]
4 = [tex]\frac{10+x^{2} }{2}[/tex]
[tex]4*2 = (\frac{10+x^{2} }{2} )2[/tex] Get rid of 2 by multiplying both sides by 2
8 = [tex]10 + x^{2}[/tex] Subtract both sides by 10
[tex]x^{2} = -2[/tex] x coordinate of D = -2
To find y coordinate of D:
0 = [tex]\frac{-5+y^{2} }{2}[/tex] Get rid of 2 by multiply both sides by 2
0 = [tex]-5 + y^{2}[/tex] Add both sides by 5
[tex]y^{2} = 5[/tex] y coordinate of D = 5
So if x-coordinate of D= -2 and y-coordinate of D=5, the coordinates for D is (-2,5)
Really easy question I’m
Just really tired
Answers
Answer:
4.5
Step-by-step explanation:
So the ladder is 4 feet from the wall and 18 feet tall. This can translate to negative 4 spaces on the x-axis and 18 spaces on the y-axis. The slope of a line is rise over run which is 18/4 or 4.5
I hope the answer is right and I hope I helped. Have fun with the rest of your math :)
A fruit company recently released a new applesauce. By the end of its first year, profits on this product amounted to $ 35 comma 900.$35,900. The anticipated profit for the end of the fourth year is $ 44 comma 300.$44,300. After the first year, the ratio of change in time to change in profit is constant. Let x be years and P be profit in dollars. A. Write a linear function P(x) that expresses profit as a function of time.
Answers
Answer:
P(x) = 35,900 + 2,800(x-1)
Step-by-step explanation:
P(x)
P(1) = $35,900
P(4) = $44,300
Difference in profits
P(4) - P(1)
= P(3)
= $44,300 - $35,900
= $8,400
Rate of change per year = $8,400 / 3
= $2,800 per year
The linear equation
P(x) = 35,900 + 2,800(x-1)
Where
x = number of years
A hockey player strikes a hockey puck. The height of the puck increases until it reaches and maximum height of 3 feet, 55 feet away from the player. The height y (in feet) of a second hockey puck is modeled by y=x(0.15-0.001x), where x is the horizontal distance (in feet). Compare the distances traveled by the hockey pucks before hitting the ground.
Answers
Answer:
Distance traveled by hockey puck of second player is 40 feet more than that of first player.
Step-by-step explanation:
Maximum height of 3 feet is attained by the hockey puck of first player is when the puck is 55 feet away from the player.
It is at the mid point of the total horizontal distance to be traveled by the hockey puck.
So, the horizontal distance traveled by hockey puck of first player = 55 + 55 = 110 feet
Second player:
[tex]y=x(0.15-0.001x)[/tex]
where [tex]y[/tex] is the height of a second hockey puck
[tex]x[/tex] is the horizontal distance.
When the puck hits the ground, [tex]y=0[/tex]
Now, let us find the value of [tex]x[/tex].
[tex]\Rightarrow 0=x(0.15-0.001x)[/tex]
At [tex]x=0[/tex] feet or [tex]x=150[/tex] feet, [tex]y=0[/tex]
Therefore, the distance traveled by second hockey puck is 150 feet.
So, the answer is:
Distance traveled by hockey puck of second player is 40 feet more than that of first player.
Use the Distributive Property to rewrite each expression. Then evaluate.
9(7 + 8)
Answers
Explanation:
9
(
7
+
8
)
Distribute
=
9
×
7
+
9
×
8
Multiplication
=
63
+
72
Addition
=
135
Add 7+9 =15
Multiple 15*9 =135
2 1/3 ÷y=1 2/5 ÷(−1.1)
Answers
Answer:
y=-0.5462
Step-by-step explanation:
2.33/y=1.4/(-1.1)
1.4/(-1.1)=-1.272727 (this number is rounded so answers may vary a little)
2.33y=-1.272727
y=-1.272727/2.33
y=-0.5462
Please check my work and I really hope this helps :)
Select the THREE true statements.
Your answer:
A. Dilations always increase the length of line segments.
B. Dilations take perpendicular lines to perpendicular lines.
C. Dilations of an angle are congruent to the original angle.
D. Dilations increase the measure of angles.
E. Dilations of a triangle are congruent to the original triangle.
F. Dilations of a triangle are similar to the original triangle.
Answers
Answer:
B. Dilations take perpendicular lines to perpendicular lines.
C. Dilations of an angle are congruent to the original angle.
F. Dilations of a triangle are similar to the original triangle.
whats the product of 1.74 * 10^(6) and 2.55 * 10^(7)?
Answers
Answer:
use calculator duh
Step-by-step explanation:
Answer:
3.12*10^-9
Step-by-step explanation:
took the test
Lisa made $165 for 11 hours of work. At the same rate, how much would she make for 13 hours of work? Pls help
Answers
Answer:
Ok, first divide the money by the hours worked to get dollars per hour, $165/11 equals 15, so Lisa makes $15 dollars an hour, 13 hours times $15 dollars per hour equals $195 for 13 hours.
HELP PLS IMMEDIATE HELP PLS
Answers
Answer:
yc8,iv,g-)-*6"9-*"me &¶ lgz
Answer:
x= -6
Step-by-step explanation:
A rectangular area rug has a length of 3 4 feet and a width of 2 3/4
feet. What is the area of the rug?
Answers
Answer:
93.5 feet squared
Step-by-step explanation:
l=34 feet
w=2 3/4 feet
2 3/4 also = 2.75
Sue's lunch account has $25 and she spends $2.50 every day. Troy's lunch account has
$50 and she spends $3.25 every day. Write an inequality that shows when Sue's
account will be more than Troy's.
25 + 2.5d > 50 +
3.25d
25 - 2.5d > 50 -
3.25d
25 + 2,5d < 50+
3.25d
25 - 2.5d < 50-
3.25d
Answers
Answer: 25 - 2.5d > 50 - 3.25d
Are these ratios equivalent?
10 friends to 12 strangers
30 friends to 36 stranger
Answers
Answer:
Yes
Step-by-step explanation:
10:12 and 30:36
you can simplify them first so
10:12=5:6
and
30:36=5:6 which is equivalent to the other ratio
or you can do
10:12
10 times 3 is 30 30:36 12 times 3 is 36
Numbers.
Hope this helps!:)
Pls mark the Brainliest
The mailman delivered a $22 check and three bills for $14 each today. What is the total in the mailbox?
Answers
Answer:
The answer is 64.
Step-by-step explanation:
22 + (14*3)
22 + 42
64
Beth’s annual salary is $20,000. She also earns a variable percent commission on her sales over $500. The percent commission varies on the amount of her sales. If p(x) represents Beth’s percent commission, and f(x) = x − 500, is her amount of sales, which expression represents the commission she earns?
A) p(f(x))
B) f(p(x))
C) p(x) + f(x)
D) p(x) − f(x)
Answers
Answer:
A
Step-by-step explanation:
Here, we want to select the option that best describes the commission earned;
In the question, we are told that the commission is a certain percentage variable on the amount of her sales;
Thus , mathematically to get the percentage commission, we simply need to have;
p(x) of f(x)
This simply refer to placing f(x) into p(x) which can be rewritten as ;
p o f(x)
The closest answer to this is the first option A
Answer:
A if your doing prep
Step-by-step explanation:
math
Sally deposits $4,000 in a certificate of deposit that pays 2.12% simple interest. What is her balance after one year?
Answers
Answer:
4084.80
Step-by-step explanation:
Interest = Principal * Interest * Time
= 4000 * 0.0212 * 1
= 84.8
balance = deposit amount + interest
= 4000 + 84.8
= 4084.80
Based on then information given her balance after one year is: $4048.80.
Using this formula
A = P (1 + r)^t
Where:
A=Amount=?
Principal=$4,000
r=Interest rate=2.12% or 0.0212
t=time=1 year
Let plug in the formula
A=4000(1 + 0.0212)^1
A= 4000(1.0212)
A= $4048.80
Inconclusion her balance after one year is: $4048.80.
Learn more about interest here:https://brainly.com/question/16134508
The product of 4 x -5 will be
What real number
Answers
Answer:
its 16
Step-by-step explanation:
i did a test with this on my online class
c=3h-ah solve for h
Answers
Answer:
a= -c-3h/h
Step-by-step explanation:
HELP ME PLEASE WILL GIVE BRAINLEIST !!!!!!
answer and put something down for each "test it"
Answers
Answer:
the first one is false,the second one is true,the third one is false and the last one is true
1. False, 2. True, 3. False, 4. True
1. False~sum of rational + rational= rational not irrational
2. True~ product of rational x irrational= irrational
3. False~ product of nonzero rational x irrational= irrational not rational
4. True~ sum of rational + irrational= irrational
Step-by-step explanation:
1.= 1 1/2 + 5= 6 1/2 this is rational not irrational so~ False
Teacher says im wrong
Answers
Answer:
121
Step-by-step explanation:
Write −2.32
as a mixed number in simplest form
Answers
Answer:
first I put -2.32 into a improper fraction and then I simplified to this - 2 8/25
We need to find the given numbers mixed fraction representation.
The given numbers mixed fraction form is [tex]-2\dfrac{8}{25}[/tex].
The given number is [tex]-2.32[/tex].
Let us remove the negative sign for solving the question.
The negative sign can be added at the end.
[tex]2.32=2+0.32[/tex]
[tex]=2+\dfrac{32}{100}[/tex]
Dividing the fraction by common factors we get
[tex]2+\dfrac{8}{25}=2\dfrac{8}{25}[/tex]
The given numbers mixed fraction form is [tex]-2\dfrac{8}{25}[/tex].
Learn more:
https://brainly.com/question/17767863
https://brainly.com/question/24901550
6x - 2y= 18
Find the x-intercept and the y-interc
Then use them to graph the line.
Answers
x-intercept(s): (3,0)
y-intercept(s): (0,−9)
Answer:
The x is -3 and the y is -9 so the answer is (-3,-9)
Step-by-step explanation:
6x-2y=18
-6x -6x
-2y=-6x+18
-2y/-2=-6x/-2+18/-2
y= -3x -9
To graph you just mark it at -9 and go down 3 up 1; or you could go up 3 down 1
Hope this helps :) Have a wonderful day and wish you luck on your test :)
solving absolute value equations |x-7|=16
Answers
your Answer will be
x=23 or x=−9
Five sisters each but matching scarves in two pairs of socks the scores are priced at $12 if the total bill for all five sisters was $120 what was one pair of socks cost
Answers
Answer:
the one pair of socks cost $2 dollars.
Kelly wants to decrease her daily sugar intake from 40 grams of sugar to 30 grams of sugar. By what percentage does Kelly want to decrease her daily intake of sugar? O 10% O 25% O 75% O 905
Answers
Kelly wants to reduce her sugar consumption by 25%.
Kelly wants to go from consuming 40 grams to 30 grams of sugar.
The percentage she wants to decrease by can be found by the formula:
= (Old intake - New Intake) / Old Intake
Solve the formula and the percentage is:
= (40 - 30) / 40
= 0.25
= 25%
In conclusion, Kelly wants to decrease her sugar intake by 25%.
Find out more at https://brainly.com/question/19183014.
I’ll give brainliest! I need this answered by tomorrow!!
Answers
Answer:
The following points are on the line
(x,y) = (2,120)(x,y) = (3,180)(x,y) = (4,240)There are other points on the line, but I'm focusing on the points where the three filled in circles are shown. I'm ignoring (0,0) because that point won't be useful for the next section below.
Pick any of the three points and divide y over x
y/x = 120/2 = 60y/x = 180/3 = 60y/x = 240/3 = 60Whatever point you choose, you'll get the same ratio. The constant of proportionality is 60.
In the context of this problem, the 60 refers to the speed of the car.
The car travels 60 miles in 1 hour, or at a speed of 60 mph.
Marta has 16 postcards from each of 8 different cities in Pennsylvania. She can fit 4 postcards on each page of her scrapbook. How many pages in the scrapbook can Marta fill with postcards?
Answers
Answer:
4 pages
Step-by-step explanation:
Answer:
thanks for free points :3
Step-by-step explanation:
Cooper Middle School has a goal of collecting more than 1,000 cans of food in a food drive. So far, 375 cans have been collected. During the last 13 days of the drive, at least how many cans must be collected each day in order to meet the goal?
Answers
Answer:
48 cans each day
Step-by-step explanation:
This can be represented as:
[tex]375+13c\geq 1,000[/tex]
(13c represents the number of cans, needed within the past 13 days)
First subtract both sides by 375
[tex]13c\geq 625[/tex]
Then divide both sides by 13 to get your answer of:
[tex]c\geq 48[/tex]
Answer:
48
Step-by-step explanation:
1000-375=625
625/13=48.0769
But since it said atleast the answer is 48
If a line has a slope of -5, what is the slope of any line perpendicular to the line
Answers
Answer:
1/5
Step-by-step explanation:
Perpendicular means the negative reciprocal the reciprocal of - 5 is -1/5 add the negative to get 1/5