Given:
An angle measures 170° less than the measure of its supplementary angle.
To find:
The measure of each angle.
Solution:
Let x be the measure of supplementary angle.
Then, the measure of the angle is (x-170°).
Sum of supplementary angles is 180 degrees. So,
[tex]x+(x-170^\circ)=180^\circ[/tex]
[tex]2x-170^\circ=180^\circ[/tex]
[tex]2x=180^\circ+170^\circ[/tex]
[tex]2x=350^\circ[/tex]
Divide both sides by 2.
[tex]x=\dfrac{350^\circ}{2}[/tex]
[tex]x=175^\circ[/tex]
Now, the measure of the angle is
[tex]175^\circ-170^\circ=5^\circ[/tex]
Therefore, the measure of angle is 5° and the measure of its supplementary angle is 175°.
Answer:
175 , 5
Step-by-step explanation:
Find the value of x. Round your answer to the nearest tenth.
Answer:
In this question, we can use the Pythagorean theorem to solve for x.
11^2 + x^2 =24^2
x^2 = 24^2 -11^2
x is about 21.3
Let me know if this helps!
If it took 10 hours to mow
of 15 lawns, then at that
rate, how many lawns could be sell in : mowed in 24 hours? What was the
rate of lawns mowed per hour?
Kara ran 5 miles yesterday. She ran again today. Her total distance for
both days is 6.5 miles. If she ran at a pace of 6 miles per hour today,
how long did Kara run today?
9514 1404 393
Answer:
15 minutes
Step-by-step explanation:
We can let t represent the time in hours that Kara ran today. Then her distance today is ...
distance = speed · time
distance = 6t
Her total distance for both days is ...
5 + 6t = 6.5
6t = 1.5 . . . . . . . . . . subtract 5
t = 1.5/6 = 1/4 . . . . . divide by 6
Kara ran 1/4 hour today. That is 15 minutes.
melissa takes a shower every 2 days, how many days does she take a shower in a year
14 pencils cost £3.36. How much would 8 pencils cost?
Answer:
£1.92
Step-by-step explanation:
3.36/14 will give you the cost of each pencil
£0.24 is the cost of one pencil
8 pencils will cost you £1.92
So, I like animals and I thought, what's an animal? Why are they so adorable. So, why are animals so adorable? How are baby animals created?
Answer:
Question 1: Animal babies are born smaller and usually more furrier so of people love them.
Question 2: Love, Reproduction, Baby, Grow Up, Repeat
Step-by-step explanation:
The sun of two numbers is 36. The larger number is 18 more than the smaller number. What are the numbers?
Answer:
Step-by-step explanation:
a+b=36
lets name the 2 numbers a,b
b=a+18
a+a+18=36
2a=36-18
2a=18
a=9
b=27
Answer:
the numbers are 9 and 27
Step-by-step explanation:
equation to the problem: x+y=36
one number (y) is 18 times greater than the other number (x): x+18=y
plug in the 2nd equation to the first equation (systems of equations):
x+(x+18)=36
solve the equation:
2x+18=36
*minus 18 on both sides*
2x=18
*divide the whole equation by 2 to get the value of just one x*
x=9
since variable x is the n smaller number, add 18 to 9 to get the 2nd number:
18+9= 27
y=27
3. Ifu={1,2,3,4,5,6,7,8,9, 10}
X= {1,2,4,6,7,8,9}
Y= {1,2,3,4,7,9)
and Z= {2,3,4,7,9)
Whatis XnYnZ?
(WAEC) pls help
Answer:
we conclude that:
X∩Y∩Z = {2, 4, 7, 9}Step-by-step explanation:
Given
u = {1,2,3,4,5,6,7,8,9, 10}
X= {1,2,4,6,7,8,9}
Y= {1,2,3,4,7,9)
Z= {2,3,4,7,9)
To determine
X∩Y∩Z = ?
We know that the intersection of three given sets represents the largest set which consists of all the elements that are common to all the sets.
The intersection of sets is denoted by the symbol '∩'.
Thus,
X= {1,2,4,6,7,8,9}
Y= {1,2,3,4,7,9)
Z= {2,3,4,7,9)
X∩Y∩Z = {2, 4, 7, 9}
Therefore, we conclude that:
X∩Y∩Z = {2, 4, 7, 9}I WILL PAYPAL YOU 20 POINTS IF U DO THIS
Answer:
What is the variable behind the 5?
Step-by-step explanation:
[tex]\frac{13*5^{3}*z^{10}}{x^{5}}[/tex]
OR
[tex]\frac{1625 z^{10}}{x^{5}}[/tex]
Answer:
(13x * 10^53) + 10.
Step-by-step explanation:
To simplify the expression "13x 10^53--10" and write it using only positive exponents, we can follow these steps:
Step 1: Remove the double negative signs by converting them to positive signs:
13x 10^53 + 10
Step 2: Rewrite the expression by moving the term with a positive exponent to the denominator:
13x / (10^-53) + 10
Step 3: To simplify the denominator, we can rewrite 10^-53 as (1/10^53):
13x / (1/10^53) + 10
Step 4: Simplify the division of a fraction by multiplying by its reciprocal:
13x * (10^53/1) + 10
Step 5: Multiply 13x by 10^53:
(13x * 10^53) + 10
The simplified expression, written using only positive exponents, is (13x * 10^53) + 1
Help PLEASE!!!! Slope
Answer:
(We don’t have a picture so i’ll remind you about how to solve it.)
Step-by-step explanation:
Slope is rise over run. You find a point of the graph where the line goes through. Look for a 2nd point on the graph where the line goes through a point. Count up, and to the side and you have your answer :)
Find C and a so that f(x) = CaX models the situation described. State what the variable x represents in your formula. In 2000 a house was worth $220,000, and its value decreases by 11% each year thereafter. please help im failing
Answer:
f(x) = Ca^x
x = years since 2000.
f(0) = 220000 = Ca^0 = C
f(x) = 220000a^x
f(1) = 220000(1-0.11) = 220000a^1
a = 0.89
f(x) = 220000(0.89)^x
So each year reduces by 89%
The Bobcat baseball team has a total of 53 games this season. There are 9 games in the first month. After the first month, the team plays 11 games per month. Which equation can be used to find the number of months the season will last after the first month?
Answer:
The season will last 4 months after the first month (5 months in total)
Step-by-step explanation:
53 games
9 games first month
11 games per month (since the second one)
x - number of months
9 + 11x = 53
11x = 53-9
11x = 44
x = 4
A school club purchases sandwiches and pretzels for a lunch. Each sandwich costs $4.25 and each bag of pretzels costs $0.75. A total of 48 items (sandwiches and pretzels) were purchased for a total cost of $175. If s = the number of sandwiches and p = the number of pretzels, which system represents this situation?
A. s + p = 48
4.25s + 0.75p = 175
B. s + p = 175
4.25s + 0.75p = 48
C. s + p = 48
0.75s + 4.25p = 175
D. s - p = 48
4.25s + 0.75p = 175
Answer: I’m 95% sure it’s A
1) A basketball player made 13 out of every 20 free-throws. How many
free-throws does he make out of every 100 attempts?
Answer:
20*5=100
So it would be 13*5=65
Step-by-step explanation:
c) El 9 % de 700 =
d) El 15 % de 6 000 =
Simplify the expression [tex]5^{3}[/tex] × [tex]5^{-5}[/tex]
A. 1/5
B. 1/5^2
C. -5^2
D. 5^2
what is the slope of (4,6) and (-6,2)
Answer:
2/5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(2-6)/(-6-4)
m=-4/-10
simplify
m=2/5
Answer:
Step-by-step explanation:
Slope is m=(y2-y1)/(x2-x1)
m=(2-6)/(-6-4)
m=-4/-10
m=2/5
HELP PLEASE THIS IS EASY MATH BUT I LITERALLY DONT UNDERSTAND IT
Answer:
salim go the best deal sorry if i am wrong
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Solve the following rational equation plz help!!
Answer:
x = [tex]\frac{9}{4}[/tex]
Step-by-step explanation:
Given
[tex]\frac{4x}{x+1}[/tex] - [tex]\frac{5}{x}[/tex] = [tex]\frac{4}{x^2+x}[/tex] ← factor denominator
[tex]\frac{4x}{x+1}[/tex] - [tex]\frac{5}{x}[/tex] = [tex]\frac{4}{x(x+1)}[/tex]
[ x ≠ 0, x ≠ - 1 as these would make the terms undefined ]
Multiply through by x(x + 1)
4x² - 5(x + 1) = 4
4x² - 5x - 4 = 4 ( subtract 4 from both sides )
4x² - 5x - 9 = 0 ← in standard form
(x + 1)(4x - 9) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
4x - 9 = 0 ⇒ 4x = 9 ⇒ x = [tex]\frac{9}{4}[/tex]
However, x ≠ - 1 for reason given above, then
solution is x = [tex]\frac{9}{4}[/tex]
Select all possible solutions for 2x + 7 < 3x - 5.
Answer:
7<x-5
12<x
x>12
Step-by-step explanation:
What is the measure of N? A)23 B)25 C)27 D)45
Sac had a rope that was 15 feet long. He cut it into three pieces. The first piece was 3.57 feet longer than the second piece. The third piece was 2.97 feet longer than the second piece. How long was the third piece of rope?
Answer:
5.79 feet
Step-by-step explanation:
Let us represent
First piece = x
Second piece = y
Third piece = z
Sac had a rope that was 15 feet long.
x + y + z = 15
He cut it into three pieces.
The first piece was 3.57 feet longer than the second piece.
x = 3.57 + y
The third piece was 2.97 feet longer than the second piece.
z = 2.97 + y
How long was the third piece of rope?
x + y + z = 15
3.57 + y + y + 2.97 + y = 15
3y + 6.54 = 15
3y = 15 - 6.54
3y = 8.46
y = 8.46/3
y = 2.82 feet
Therefore, the length of the third piece z = 2.97 + y
z = 2.82 + 2.97
z = 5.79 feet
Find the slope of the line
y=-6/5x + 4/9
Answer:
-6/5
Step-by-step explanation:
slope =coefficient of x
could someone help me? i'd appreciate it thank you
x = 70°, y = 30°, z = 20°
Step-by-step explanation:
Right triangle have a total internal angle of 180°.
x = 180° - 110°
= 70°
z = 180° - 90° - x
= 180° - 90° - 70°
= 20°
y = 180° - 40° - 90° - z
= 180° - 40° - 90° - 20°
= 30°
Find the slope of the line. Enter your answer in simplest form.
Answer:
3
Step-by-step explanation:
so.i think y=3x+b. I'm not completely sure but y2-y1 over x2-x1
Answer:
2
Step-by-step explanation:
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]= \frac{-3-3}{3-6}\\\\=\frac{-6}{-3}\\\\= 2[/tex]
Factor each expression by finding the GCF.
8 + 16 =
8 ( 1 + 16)
2 (4 + 16)
8 ( 1 + 2)
4 (2 + 6)
A TV that usually sells for $185.63 is on sale for 25% off. If sales tax on the TV is 5%, what is the price of the TV, including tax?
Answer: A TV that usually sells for $185.63 is on sale for 25% off. If sales tax on the TV is 5%, what is the price of the TV, including tax?
178.18 x 0.25 = 44.55
178.18 - 44.55 = 133.63 = sales price
133.63 x 0.05 = 6.68
133.63 + 6.68 = 140.31 = total price
Step-by-step explanation: That's how I solved it...
Select ALL of the following inequalities that could represent the situation:
4 more than x is at least 22
Answer:
Can anyone please answer my question please I need it please
Answer:
x + 4 [tex]\geq[/tex] 22
Step-by-step explanation:
maybe, i'm not sure
Select the correct answer.
What is the value of y in the triangle?
y
30°
60°
6
O A.
3
OB. 6
C. 673
D.
33
This is a special kind of right triangle, called a 30-60-90 triangle.
Across from the 30 degree angle, the side is equal to x. Across from the 60 degree angle, the side is equal to x[tex]\sqrt{3}[/tex]. And across from the 90 degree angle, the side is equal to 2x.
Using what we know about 30-60-90 triangles, lets first solve for x. We know that the hypotenuse, given, is equal to 6.
2x = 6
x = 3
Then, we are looking for the side opposite of the 60 degree angle. So its value is x[tex]\sqrt{3}[/tex].
x = 3
3 * [tex]\sqrt{3}[/tex] = 3 [tex]\sqrt{3}[/tex]
y = 3[tex]\sqrt{3}[/tex] (option D)
Hope this helps!! :)
The value of y for the given triangle will be 3√3, hence option (D) will be correct.
What is a triangle?A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.
Right angle triangles are triangles in which one angle is 90°.
The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.
Given a right-angle triangle
Let the side opposite to 30° is perpendicular and the remaining y will be base.
By trigonometric relation
cosx = base/hypotenuse
cos30° = y/6
y = 6 × cos30° ⇒ y = 6 × √3/2
y = 3√3 hence the value of the hypotenuse or y will be 3√3.
For more about triangles,
https://brainly.com/question/2773823,
#SPJ2
Which graph represents the inequality you found in part i.?
Answer:
Graph A represents the inequality x > 6.
A
Hope this helps have a great day