21 and 22 are complementary angles. The measure of Z1 is 60°. The
measure of 22 is 5(x - 1)º. Find the value of x.
Answers
Answer:
The value of x is 7
Step-by-step explanation:
Complementary angles have a sum of 90°, therefore the equation to solve for x is:
∠1+∠2=90°
60°+5(x-1)°=90°
5(x-1)=30°
x-1=6
x=7
So the value of x is 7
Related Questions
Mackenzie thought that the basketball
team would win 16 games, but they
only won 12. What was his percent
error?
Answers
His percent error is 25% because 12 is 75% of 16. 100 - 75 = 25
Answer:
75% correct and 25%error
Step-by-step explanation:
As 12÷16×100=75%
The error =100-75=25%
Please I beg of you answer this question please answer this correctly no links no trolls pleaseeee
Answers
Answer:
Step-by-step explanation:
pi r^2 for area
pi 35^2
pi1225= about 3848.45
2pi r for circumference
2pi35
pi70= about 219.9
find the slope of each line
Answers
Answer:
(1,1) and (2,-4)
Step-by-step explanation:
i supposed each line is 1,2,3,4,5 because it is not given the graph numbers but I hope it could help
Which is equivalent to 12^0?
Answers
Answer:
the answer is 1
Step-by-step explanation:
I hope this was helpful
When we raise a number to the zeroth power, that means we multiply itself 0 times. You’re not multiplying anything at all. 0 is the only number such that for any number x,x+0=x
d. 10 + 3у – 2 = 4у — у + 8
Answers
Answer:
3y+8=3y+8
Step-by-step explanation:
10+3y-2=4y-y+8
10+3y-2 combine 10 and -2 and you get 3y+8
4y-y+8 combine the 4y with the -y and you get 3y+8
3y+8=3y+8
I just need help with this is anyone can help I would be happy Thx
Answers
Answer:
24 sq cm
Step-by-step explanation:
the big square is 20 and the small one is 4
5•4=20
2•2=4
20+4=24.
I hope that’s help
✋
please answer and explain #17 :)
Answers
Answer:
Solution given:
we have
m<PTQ=m<RTS
x+20=3x+12.
20-12=3x-x
x=
[tex] \frac{8}{2} [/tex]
now
16.m<PTQ=x+20=4+20=24°
17.
again
m<PTR+m<PTQ=180°[supplementary]
so
m<PTR=180°-24°=156° is your answer
Answer:
156°
Step-by-step explanation:
I see you have already found the x so now plug it in.
(4)+20=24
(4)(3)+12= 24
Since they are vertical angles, then they are congruent, thats why they are equal. By now I think you should know that a straight line is equal to 180, so lets take 1 angle to find the missing one.
We can also see that ∠PTR and ∠RTS are also vertical angles, so they are also congruent. So we only use one, 180-24=156
the answer is 156 because ∠PTR and ∠PTQ are in the same line making them supplementary.
Does that make sense?
A college-entrance exam is designed so that scores are normally distributed with a mean of 500 and a standard deviation of 100. You scored a 625. Calculate your z-score to the nearest hundredth (i.e. 2 decimal places).
z=
Answers
Answer: The required z-score = 1.25
Step-by-step explanation:
Let x be a random variable that denotes the scores in the exam.
The formula for z-score = [tex]\dfrac{X-\text{mean}}{\text{standard deviation}}[/tex]
As per given, we have
X= 625, mean=500, standard deviation = 100
Z-score = [tex]\dfrac{625-500}{100}[/tex]
i.e. Z-score = [tex]\dfrac{125}{100}[/tex]
i.e. Z-score =1.25
Hence, the required z-score = 1.25
Please help mee (don't send a link)
Answers
Answer:
a
Step-by-step explanation:
the sign flips when you divide or multiply one
Answer:
B.
Step-by-step explanation:
4x-8>(with a line underneath)12
-8 -8
4x>(with a line underneath)12
/4 /4
x>(with a line underneath)3
It stays the same because you aren't dividing or multiplying by a negative. Only a negative will cause you to flip the inequality sign.
Out of 180 students, 50 students play Piano, 68 play Guitar, and 59 play Flute
. Also 35 play Piano and Guitar, 40 play Guitar and Flute and 25 play Piano and Flute. 15
play all, Piano, Guitar and flute.
Draw a Venn diagram to represent this information.
Answers
Answer:
Step-by-step explanation:
A Venn diagram depicts the logical relationships between two or more sets of elements by using alternating circles or other shapes. They're often used to visually arrange information, showing how objects are similar and different. In the fields of mathematics and statistics, Venn diagrams, also known as "set diagrams" or "logic diagrams," are commonly used.
From the given information:
Since we are to represent the given question into a Venn diagram, the diagram is being attached in the image below.
From the image below, we represent:
P =students that played Paino
G = students that played guitar
F = students that played flute
P = 50
G = 68
F = 59
(PUG) -35
(PUF) = 59
(GUF) = 40
since the value of (PUGUF) is not given, we represent it with x.
See the attached image below for diagrammatic representation of the Venn diagram.
Can somebody help please?
Answers
What is an equation of the line that passes through the point (-5,-2) and is
parallel to the line x - y = 5?
Answers
Answer:
[tex]y=x+3[/tex]
Step-by-step explanation:
What we need to know
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)Parallel lines have the same slope1) Rewrite the equation x - y = 5 into slope-intercept form and identify the slope
[tex]x - y = 5[/tex]
Subtract both sides by x
[tex]x - y -x= -x+5\\-y= -x+5[/tex]
Divide both sides by -1
[tex]y= x-5[/tex]
Now, we can tell clearly that the slope (m) of this line is 1. Therefore, a line parallel to this would also have a slope of 1.
Plugging 1 as m into [tex]y=mx+b[/tex], we get:
[tex]y=x+b[/tex]
2) Find the y-intercept (b) of the line parallel to [tex]y= x-5[/tex] and find the final equation
[tex]y=x+b[/tex]
Plug in the given point (-5,-2)
[tex]-2=-5+b[/tex]
Add 5 to both sides
[tex]-2+5=-5+b+5\\3=b[/tex]
Therefore, the y-intercept of this line is 3. Now, plugging this back into our original equation, we get:
[tex]y=x+b\\y=x+3[/tex]
I hope this helps!
A guy wire for a tree is 14 feet long. Making a 41° angle with the ground, how far is the base of the tree from the stake anchoring the wire?
Answers
You want the length of the base when the side opposite the 41 degree angle
is the tree.
You have an angle and the hypotenuse; the base is the side adjacent to the
41 degree angle.
EQUATION:
cos(41) = adjacent/hypotenuse = x/14
14cos(41) = x
x = 10.57 ft
What percent of 400 is 8?
help
no links
Answers
Answer:
2%
Step-by-step explanation:
Hello, to find the percentage of 8 and 400, you simply divide 8 over 400 and you get 2%.
Answer:
2%
Step-by-step explanation:
[tex]\frac{8}{400} =\frac{y}{100}[/tex]
Cross multiply.
400y = 800
400y ÷ 400 = 800 ÷ 400
y = 2
im a breadstick grrrr
Answers
Answer:
ok if u say so
Step-by-step explanation:
look at pic 10 pts will mark brainilest
Answers
Answer:
its a right angle and the area of it is 24
Step-by-step explanation:
What’s the area of the figure?
Answers
The formula for area is base times height [A=b(h)]
find the value of x
please
Answers
Answer:
x = 51
Step-by-step explanation:
These angles equal each other because they're vertical angles so:
2x + 8 = 110
2x = 110 - 8
2x = 102
x = 51
Help pls! I need help to finish :(
No Links!
Answers
7 4/8 is also 7.5
at a football game, every person is either a fan of the home team or of the visiting team. omar observes that the ratio of fans of the home team to fans of the visiting team is 7:2. omar states that the total number of fans at the game must be an odd number because 7 + 2 = 9 and 9 is an odd number.
Determine a number of fans of the home team and a number of fans of the visiting team that show omar statement is false.
the first question is, enter a number of fans of the home team that would show Omar's statement is false.
the second question, enter a number of fans of the visiting team that would show omar statement is false.
pls I need help!!!!!!
Answers
y divided by the product of 3 and x
Answers
Answer: y/3x
Step-by-step explanation: 3 times x is 3x, so y/3x
thomas has 12 more marbles than twice the number of marbles Andrew has.
Andrew has x marbles. which expression represents how many marbles thomas has?
A. x + 2 + 12
B.x+12(2)
C.2x+12
D.2(x+12)
Answers
Answer:
A.
x + 2 + 12
Step-by-step explanation:
Thomas (t) = Andrew (x) * 2 + 12
4. Vivian uses a debit card to pay for a purchase, but she spends more than she has in her bank account. What will happen next?
Answers
Answer:
Vivian will have to get a loan, and pay back the money she spent with her debit card. If she cannot pay back this loan in time, the interest will grow higher and higher. Using a debit card is NOT good because if you don't have the money for something and you buy it anyway, you'll have to pay back double the money if you miss the deadline for the loan.
The letters in VIRGINIA are each written on a separate card. Mark picks one card at random, keeps it, and then picks a second card. What is the probability that he picks an "I" and then picks a consonant?
3/14
3/16
1/4
2/7
Answers
Answer:
okay I would say 1/4
Step-by-step explanation:
the originally eight letters, and then you take one out so there's seven and then your chances of getting the I are two so that's 2/7. then there's only one consonant the R so 1/4.
Eric is a car salesman. He earns a weekly salary of $175 plus 4% commission on sales. This
week he sold a car for $35,450.
A) How much commission did he earn this week?
B) What did he earn in TOTAL this week?
(urgent pls show work)
Answers
Answer:
Step-by-step explanation:
A 12-sided die is rolled. The set of equally likely outcomes is {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} . Find the probability of rolling a number greater than 18.
Answers
Answer:
the probablity of rolling a number greater than 18 is 0
Step-by-step explanation:
mark me as brainliest
Answer:
The probability is 0 since there is no outcome that gives him a role greater than 18
Please mark as braniest if this is what you are looking for
A triangle has two sides of length 17 and 4. What is the smallest possible whole-number
length for the third side?
Answers
Answer:
14
Step-by-step explanation:
because the sum of the 2 smaller side have to add up to greater than the larger side
x+4 > 17
x > 13
14 is the next biggest whole number
The company plans to increase the width and length of the large box by 4 inches each to create a new larger box. How many more of the small boxes will be able to fit inside this new larger box compared to the original large box?
Answers
Answer:
Answer:16
Step-by-step explanation: 2x2 is 4
4x4. Is 16w
W stand for width
Step-by-step explanation:
What is the height, in yards, of a cylindrical water tank that holds 1,884 cubic yards of water and has a diameter of 120 feet? Be sure to convert so you are using like units.
Answers
Answer:
The height of the tank is 0.5 yards.
Step-by-step explanation:
To determine what is the height, in yards, of a cylindrical water tank that holds 1,884 cubic yards of water and has a diameter of 120 feet, knowing that the volume of a cylinder is equal to pi multiplied by the radius squared, multiplied by the height, the following calculation must be done:
1 foot = 0.3333 yards
R = Diameter / 2
R = 120/2 = 60
3.14 x 60 ^ 2 x H = 1,884
3.14 x 3,600 x H = 1,884
3.14 x 1,200 x H = 1,884
3.768 x H = 1.884
H = 1,884 / 3,768
H = 0.5
Therefore, the height of the tank is 0.5 yards.
The function f(x) = 600(0.981)x, where x is the time in years, models a declining lemming population How many
lemmings will there be in 3 years?
A.about 566
B.about 1,803
C.about 1,766
D.about 601
Answers
Answer:
The answer for this question is:
About 566 lemings
Step-by-step explanation:
Answer:
A.about 566
Step-by-step explanation:
