Three lines meet at a point. In a complete sentence, describe the relevant angle relationship in the diagram.
Set up and solve an equation to find the value of a
Solution:
Answers
Answer:
Problem:
180-144=36
36/2=18
A=18
Step-by-step explanation:
The full area of half of a circle is equal to 180 degrees. To find the missing value of both A's you must take the full degrees of 180 and subtract 144 from 180. Next you have to take the remaining number and divide it by two because both of the missing value's are equivalent.
Related Questions
Keiko determined that the coordinate points (–4, 0), (–3, –1), and (2, –6) are solutions to the following system. y = − x − 4 y = x 2 + x − 12 Which coordinates from the solution set are reasonable solutions to the system of equations?
Answers
Answer:
only (-4,0) is a reasonable solution.
Step-by-step explanation:
In order to see which ones are reasonable we need to apply the points to the system and check if they make both equations valid at the same time.
y = -x - 4
y = x² + x - 12
For (-4, 0):
0 = -(-4) - 4 -> 0 = 4 -4 -> 0 = 0 (valid)
0 = (-4)² - 4 - 12 -> 0 = 16 - 16 -> 0 = 0 (valid)
For (-3, -1):
-1 = -(-3) -4 -> -1 = 3 -4 -> -1 = -1 (valid)
-1 = (-3)² -1 - 12 -> -1 = 9 -13 -> -1 = -4 (invalid)
For (2, -6):
2 = -(-6) - 4 -> 2 = 6 -4 -> 2 = 2 (valid)
2 = (-6)² -6 -12 -> 2 = 36 -18 -> 2 = 18 (invalid)
Therefore only (-4,0) is a reasonable solution.
You are choosing between two different cell phone plans. The first plan charges a rate of 19 cents per minute. The second plan charges a monthly fee of $29.95 plus 8 cents per minute. How many minutes would you have to use in a month in order for the second plan to be preferable?
Answers
Answer:
after 272 mins
Step-by-step explanation:
make it into two linear equations y=.19x and y=29.95+.08x
Question 4 (3 points)
In the coordinate plane, what is the length of the line segment that connects points
at (0,-1) and (-7, -2)?
Enter your answer to the nearest hundredth.
Hint: No points will be awarded unless it is to the nearest hundreth. An example is
3.04.
Answers
Answer:
≈ 7.07
Step-by-step explanation:
Calculate the length using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (0, - 1) and (x₂, y₂ ) = (- 7, - 2)
d = [tex]\sqrt{(-7-0)^2+(-2+1)^2}[/tex]
= [tex]\sqrt{(-7)^2+(-1)^2}[/tex]
= [tex]\sqrt{49+1}[/tex]
= [tex]\sqrt{50}[/tex] ≈ 7.07 ( to the nearest hundredth )
5 people visited SmashBurger. Each person bought a hamburger (h) and a bottle of water (w). Write an expression that shows the amount of hamburgers and bottles of water were purchased.
Answers
Answer: 5(h + w)
Step-by-step explanation:
Number of visitors = 5
Each of the five visitors purchased:
One hamburger (h) + one bottle water (w)
Expression for the amount of harmburger and bottle water purchased is thus ;
Number of visitors × (number of harmburger per person + Number of bottle water per person)
5 ( 1h + 1w)
5h + 5w = 5(h + w)
Which equation represents the line that passes through the points (1,10) and (16,1)?
Answers
Answer:
D
Step-by-step explanation:
Find the area of the parallelogram.
cm2
(Simplify your answer.)
Answers
Answer:
187 cm^2
Step-by-step explanation:
Area of a parallelogram is base times height. 17 cm is the base and 11 cm is the height so, 17 cm times 11 cm equals 187 cm^2.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
the length of one leg of a right triangle is 24ft and the length of the hypotenuse is 40ft what is the length of the other leg
6.3
32.0
46.7
64.0
Answers
40^2-24^2 is 1024
Square root of 1024 is 32.0
B is the unknown leg so we have to figure that out by plugging in what we know into the format a^2+b^2=c^2
Which is 24^2+b^2=40^2
So 24^2=576
And leave the b^2
Then 40^2=1600
Your new equation is 576+b^2=1600
Subtract 576 from both sides so you get b^2=1,024 to find b you find the square root of 1,024 to get b by itself which now gives you b=32 this means that the length of the other leg is 32.0. Hope this helps! :)
Can I please have some help?
Answers
What is the equation of the line that passes through (-2,2) and (1,-4)?
Answers
Answer:
y=-2x-2
Step-by-step explanation:
Slope: -4-2/1-(-2)=-6/3=-2
Equation: y=-2x+b
Substitute: 2=-2(-2)+b
2=4+b
b=-2
Therefore, y=-2x-2
I hope this helped and have a good rest of your day!
Answer:y =-2x-2
Step-by-step explanation:
gloria earned a total of $810 over the summer. She earned $162 babysitting and the rest from mowing lawns. Which bar model and solution represent x , the amount of money gloria earned mowing lawns.
Answers
Answer:
648 is the answer
Step-by-step explanation:
I do not know what bar graph it is but the 648 dollars came from mowing the lawn. hope it helps
Answer:
162+X=810
for the bar model 180 is the whole and one box would have 162 also the x
Step-by-step explanation:
810-162=648
PLEASE HELP!!! I WILL MARK YOU AS BRAINLIEST!!! :)
Answers
Answer:The answers are in the step by steps.
Step-by-step explanation:
A. outcomes GREEN BLUE
probabilities 0.72 0.28
B. 0.72 * 75 =54 meaning Yosef will draw a green marble 54 times if he draws a total of 75 marbles.
90 POINTS| PLEASE ANSWER ASAP|
Show Steps pls (even if you only do one!
Mark, Jhon and Stephanie, three archers, are aiming at a target. Each of them has only one shot. Mark has 1/5 chance of hitting the bullseye, Jhon has 1/4 chance and Stephanie has 1/3 chance.
a. what are the chances of the bullseye being hit
b. what are the chances that if only one of them hit the bullseye, Mark was the one who hit it.
Answers
For A:
You add the probabilities to get the answer to A: = .75, or 3/4
Note that the probability of ALL THREE of them hitting would be 1/3 x 1/4 x 1/5.
For B:
2/3 and 3/4 is the probability of the other two people MISSING (the remainder of 1/3, 1/4)
1.0 = 100% chance to hit the target, so 1.0 x 2/3 x 3/4 = 1/2
Mark's chance of hitting is 1/5, so do 1/2 x 1/5, = 1/10
Please answer CORRECTLY !!!!!! WILL MARK BRAINLIEST !!!!!!!!!
Answers
Answer:
C) 0, 2, 4, 5, 7
Step-by-step explanation:
The domain values are 0, 2, 4, 5, and 7.
In a graph where all the points are just dots, find the x coordinate of all the points. That will be your domain.
HEY GUYS I NEED HELP!! PLZ HELP!! PLZ WRITE HOW U GUYS FOUND YOUR ANSWER!
Math problem: Mara spent 3/5 of her vacation in British Columbia. While in that province, she spent ½ of her time in Vancouver. What fraction of her vacation did Michaela spend in Vancouver? If her vacation lasted 20 days, how many days did she spend in Vancouver?
Answers
Answer:
3/10 of her time was spent on Vancouver
6 days in total
Solve the quadratic equation by completing the square.
x^2+12x+34=0
First, choose the appropriate form and fill in the blanks with the correct numbers.
Then, solve the equation. If there is more than one solution, separate them with commas.
Form:
(x+_)^2=0
or
(x-_)^2=0
Solution:
x=_
Answers
Answer:
x = -4.59, -7.41.
Step-by-step explanation:
x^2 + 12x + 34 = 0
(x + 6)^2 - 36 +34 = 0
(x + 6)^2 = 36 - 34 = 2
x + 6 = +/-√2
x = +/-√2 - 6
x = -4.59, -7.41
5x^2-25x=125 solve by completeing the square
Answers
Answer:
x = 10, -15
Step-by-step explanation:
We can start right away by dividing both sides of our equation by 5 to get the reduced form [tex]x^2-5x=25[/tex].
To "complete the square," or turn the left side of the equation into something we can factor into a perfect square, it helps to remember that for any binomial x - a:
[tex](x-a)^2=x^2-2ax+a^2[/tex]
To "complete" our square, we'll need to add an a² to either side of the equation. To find a, we can set 5x = 2ax and solve:
[tex]5x=2ax\\5/2=a\\25/4=a^2[/tex]
Let's add that a² to both sides and simplify!
[tex]x^2-5x+\frac{25}{4}=25+\frac{25}{4}\\\\(x-\frac{5}{2})^2=\frac{125}{4}\\\\x-\frac{5}{2}=\pm\sqrt{\frac{125}{4} } \\\\x=\pm\frac{25}{2}-\frac{5}{2}[/tex]
Now we're ready to solve for both value of x:
[tex]x=\frac{25}{2}-\frac{5}{2}=\frac{20}{2} =10\\\\x=-\frac{25}{2}- \frac{5}{2}=-\frac{30}{2} =-15[/tex]
So our solutions are x = 10 and x = -15
Answer:
x=5+5√5/2
Step-by-step explanation:
Stacy owes $40 on her credit card. After she made a payment, her new balance was $10. What was the amount of her
payment?
Answers
Answer:
Step-by-step explanation:
x + 40 = 10
x = -30
She paid $30 on her credit card
Need help on numbers 1 and 2 ill mark brainliest if they are right
Answers
Question author, it's spelled pi not pie, and we use just use the Greek letter π. Students, demand better from your teachers.
1. Rectangular prism, aka a box. Volume is length times width times height.
V = 5×7×9 = 315 cubic feet
That's cubic feet of course, the product of three lengths. We didn't even need to do the problem, just look for the common answer and pick the one with the right units. I just saw that same pattern in a volume problem yesterday.
Answer: 315 cubic feet, first choice
2. Cylinder, volume is base area times height, πr²h. We have a radius of r=14/2=7 yd and h=8 yd. We're using π=3.14.
V = πr²h = 3.14(7²)(8) = 1230.88 cubic yds
Answer: 1230.9 cubic yards, last choice
Which two dimensions does a coordinate plane have?
Answers
Answer:x and y axis
Step-by-step explanation:
Answer: x and y axis
Find the value of sin(x+y) if sin x= 4/5 and cos y -5/13, both x and y are in quadrant II.
Answers
Answer: it's b
Step-by-step explanation:
AWARDING BRAINLIEST
Answers
Answer:
30 ft
Step-by-step explanation:
[tex]3 \frac{3}{4} = \frac{15}{4} \\15*2=30[/tex]
Answer:
30 feet
Step-by-step explanation:
If each 1/4 in is equal to 2 feet, then you can find out how many in per feet, by dividing 2 by 1/4, to get 8. You can then multiply 8 by 3 3/4 to get the amount of feet that the living room is if it measures 3 3/4 in on the floor plan.
Find the value of x
urgent!! plz help me! will give the brainliest
Answers
Answer:
x = 2
Step-by-step explanation:
[tex]\frac{1}{2} (x - 1) - \frac{1}{6} (x+1) = 0[/tex]
In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we divided by 2 only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.
[tex]\frac{1}{2} (x - 1) - \frac{1}{6} (x+1) = 0[/tex]
→ Expand the brackets
[tex]\frac{1}{2} x- \frac{1}{2}-\frac{1}{6}x -\frac{1}{6} =0[/tex]
→ Multiply everything by 12 to make solving the equation easier
6x - 6 - 2x - 2 = 0
→ Simplify equation
4x - 8 = 0
→ Add 8 to both sides to isolate 4x
4x = 8
→ Divide by 4 on both sides to isolate x
x = 2
⇒ We can substitute x = 2 back into the equation to see if the solution is correct, if we get 0 on both sides then x = 2 is correct
[tex]\frac{1}{2} (x - 1) - \frac{1}{6} (x+1) = 0[/tex]
⇒ Substitute in the values
[tex]\frac{1}{2} (2-1)-\frac{1}{6} (2+1) = 0[/tex]
⇒ Simplify
[tex]\frac{1}{2} (1)-\frac{1}{6} (3) = 0[/tex]
⇒ Simplify further
[tex]\frac{1}{2} -\frac{1}{2} =0[/tex]
0 = 0
The solution x = 2 is correct
the ratio of 2.5 meters to 80 centimeters can be written in form 1: n
find the value of n
n=
Answers
Answer:
32cm
Step-by-step explanation:
2.5m:80cm
1m:n
n=80/2.5
n=32cm
Which of the following equations represents a line which is parallel to the line that passes through the points below? Please help!! I will name you branliest!
Answers
Answer:
B
Step-by-step explanation:
because the line would be in a square intercept which would create what you want
You have a nickle and a number cube with numbers 1 - 6. How many possible outcomes would there be?
8
2
12
24
Answer this quickly and i might mark you brainliest ( pls be correct tho XD )
Answers
I believe that is 12
Very sorry if I am wrong
Write the equation of a circle with a center at (-2, 3) and a radius of 4.
(x + 2)^2 + (y - 3)^2 = 4
(x - 2)^2 + (y + 3)^2 = 4
(x - 2)^2 + (y + 3)^2 = 16
(x + 2)^2 + (y - 3)^2 = 16
Answers
Answer:
The equation of a circle:
[tex](x+2)^2+(y-3)^2 = 16[/tex]
Step-by-step explanation:
The equation of a circle:
[tex](x-h)^2+(y-k)^2 = r^2[/tex]
(where the center is known as [tex](h,k)[/tex] and the radius, known as [tex]r[/tex]).
-Since you already have the center and the radius, use them for the equation of a circle:
Center: [tex](-2,3)[/tex]
Radius: [tex]4[/tex]
[tex](x+2)^2+(y-3)^2 = 4^2[/tex]
After you have the equation of a circle, simplify the radius by the exponent [tex]2[/tex] :
[tex](x+2)^2+(y-3)^2 = 16[/tex]
So, you have found the equation of a circle.
helpp need helpp fast will give brainliest!!!!
Answers
Answer:
B. $177.50
Step-by-step explanation:
12.50 * 5 = 62.5
240 - 62.5 = 177.5
Answer:
B. $177.50
Step-by-step explanation:
12.50 * 5 = 62.5
240 - 62.5 = 177.5
Simplify the expression:
5^4 times n^4 / 5^2
Answers
Answer:
[tex]25n^{2}[/tex]
Step-by-step explanation:
List the angles in order from largest to smallest.
A) ∠C > ∠B > ∠A
B) ∠C > ∠A > ∠B
C) ∠B > ∠A > ∠C
D) ∠A > ∠C > ∠B
Answers
Answer:
A
Step-by-step explanation:
The largest angle will be the angle that is opposite to longest side.
Longest side is AB = 18 cm. So, opposite angle of side AB is ∠C
Sides from largest to smallest : AB > AC > BC
angles form largest to smallest: ∠C > ∠B > ∠A
Bryant has 2 ¼ gallons of gas in his tank when he stops at a gas station. At the gas station he puts 4 2/6 gallons of gas in his car. When driving away, how many gallons of gas does he have in his car?
Answers
Answer:
[tex]\frac{79}{12}[/tex] or 6[tex]\frac{7}{12}[/tex] gallons of gas.
Step-by-step explanation:
First, you have to convert both of your mixed numbers into a improper fractions.
2 [tex]\frac{1}{4}[/tex] = 9/4
4 [tex]\frac{2}{6}[/tex] = 26/6
Second, find the greatest common multiple of the denominators of both. In this case, it would be 12.
Then find the number that the first improper fraction's denominator would be multiplied by to get the GCM. Multiply both the nominator and the denominator by that number.
4 would need to be multiplied by 3 to get 12. So we multiply 9/4 by 3/3. We would get 27/12.
Repeat that for the second fraction's denominator.
6 would need to be multiplied by 2 to get 12. So we multiply 26/6 by 2/2. We would get 52/12.
Then add both fractions together.
[tex]\frac{27}{12}+\frac{52}{12}[/tex] [tex]=\frac{79}{12}[/tex]
If you need to, simplify.
[tex]\frac{79}{12} = 6\frac{7}{12}[/tex]
Hope that helped!