Answers
Answer:
The angle in the first problem measures 67°.
x=16, y=40
Step-by-step explanation:
1st problem: draw the line r in figure (red) parallel to the two given one and containing the vertex of the angle. The two green angles are congruent since alternate angles from the two parallels t and r when crossed with the upper side of the angle. Same with the two blue angles created by the parallels r and b. The measure of the angle you need is the sum of the two, or 36+31= 67°.
Second problem. The two angles in red are congruent since corresponding angles generated by the parallels m and b and the transversal r. we can then write [tex]4x-5=3x+11\\[/tex]. Solving for x we find x= 16. Now the two angles marked in blue are conjugates when looking at the parallels l and r cut by the transversal m, thus they add up to 180° We know how much the angle with double marks measures (since we found x earlier) so we can write
[tex](3y+1) + (4\times16-5) = 180\\3y+ 1 + 59 = 180\\3y=120 \implies y=40[/tex]
Related Questions
The sum of three numbers is 10. The first number minus the second plus the third is 6. The first minus the third is 2 more than the second. Find the numbers
Answers
6-2+2=6
6-2=4 and 2 times 2 is 4 so 6-2 is 2 more than the second number which is 2.
So the numbers are 6, 2 and 2.
A checking-account balance is no more than $500. find the
inequality
Answers
Answer:
x <= 500
Step-by-step explanation:
x (how much money) is less than, or equal to $500.
Line A is parallel to Line B
9. In the diagram, what is the value of x?
A. 78°
B. 108°
C. 98°
D. 82
Answers
Answer:
D or A
Step-by-step explanation:
Find the measure of an angle such that the difference between the measures of its supplement and four times its complement is 30
Answers
Answer:
70 degrees
Step-by-step explanation:
x = angle
180 - x = it's supplement
90 - x = it's compliment
(180 - x) - 4(90 - x) = 30
180 - x - 360 + 4x = 30
reducing
3x = 210
x = 70
On a boat tour there are half as many children as there are adults. There are 30 people on the tour. How many children are there?
Answers
Answer:
10 children
Step-by-step explanation:
Each day, Martin lifts weights for 10 minutes and runs on the
treadmill for 25 minutes. Write two equivalent expressions and
then find the total minutes that Martin exercises in 7 days.
Answers
Answer:
Martin Exercised 35 minutes in 7 days. Correct me if I'm wrong
Look at the following figure. The mZCAB is 73° and mABC is 60
mZACB is
degrees.
Answers
Answer:
47 degrees
Step-by-step explanation:
180-73-60=47
y=3x +4
How do you graph this
Answers
Answer:
Step-by-step explanation:
you can use desmos to see the graph
but 4 is the y intercept, so that means you can start from the point (0, 4). then, to draw the rest of the line, you would go up 3 and right 1 because the slope is 3 or 3/1
HELPP PLEASE W A MATH PROBKEN If x is 6, what is:
X +4
Answers
Answer:
10
Step-by-step explanation:
x=6, so 6+4=10
Answer:
10
Step-by-step explanation:
so if x is 6 then it would be 6+4=10
if x=5 find the value of x squared
Answers
Answer: [tex]5^{2}[/tex] is 25. This is because 5 x 5 is 25.
Step-by-step explanation:
Answer:
squared is the result of multiplying a number by itself so if x= 5 then, 5 X 5 = 25 or [tex]5^{2} \\[/tex]
Step-by-step explanation:
items? How many of each
ina
3.Reina has 40 pieces of bananas, 48 pieces of atis and 36 pieces of chicos. She
wants to put them equally in the plastic bag. How many possible number of
each fruit will be placed in the plastic bag?
Answers
Answer:
36
Step-by-step explanation:
If I understood your question right, it means that Reina wants to put equal amounts of fruits into the bag. Also it suggests that the volume of the bag is not limited.
Since 36 < 40 < 48, the largest amount of each kind of fruits in the bag can be 36. Otherwise Reina wouldn't be able to put more chinos and the amount of each fruit in the bag wouldn't be equal.
Assuming that the smallest amount of fruits in the bag is one (the bag is not empty), there are 36 possible numbers (from 1 to 36) of each fruit.
Juan want to eat fewer than 800 calories at lunch the table shows the menu at the school cafeteria with the calorie total listed for each item two different meals options for Juan to choose lunch then find the cost for each meals
Answers
Answer:
Can you put the picture
Step-by-step explanation:
PLEASE HELP PLEASe!!!!
what does 3p equal to?
p= 1/3
please show your work and include the steps in doing it.
Im confused so please help thank you!
Answers
Answer:
1 just 1 i need 20 characters but ok
Explanation:
If p = 1/3, then 3p = 1 after multiplying both sides by 3
We can show the steps like this
3p = 3(p) = 3(1/3) = 3/3 = 1
Fine the missing exponent
Answers
Answer:
hi
Step-by-step explanation:
it is simple
[tex]4 = {2}^{2} [/tex]
have a nice day
Answer:
2^2=4
Step-by-step explanation:
You have to multiply 2, 2 times. hope this helped edge
Solve the inequality:
-3t+9 > -21
O t< -10
o t < 10
O t> -10
O t > 10
Answers
Answer:
b. t < 10
Step-by-step explanation:
[tex]-3t + 9>-21[/tex]
divide both sides by -3
[tex]t - 3 < 7[/tex]
(you have to flip the sign because you are dividing by a negative)
add 3 to both sides
[tex]t<10[/tex]
Determine which form x – 3y = 18 is represented as:
Answers
Standard form is Ax+By=C
What is the distance between 120 and -130 on a number line?
Answers
Answer:
250
Step-by-step explanation:
120 is 120 spaces from zero
-130 is 130 spaces from zero
130+120=250
250 spaces from each other
Answer:
250
Step-by-step explanation:
You can think of this in different ways. Here are two ways.
1) The distance between any two points on the number line is the absolute value of the difference of the coordinates. Since you will take the absolute value of the difference, it makes no different in which order you do the subtraction.
For points on the number line with coordinates a and b,
distance = |a - b| = |b - a|
Here the coordinates are -130 and 120.
distance = |-130 - 120| = |-250| = 250
distance = |120 - (-130)| = |120 + 130| = |250| = 250
As you can see, the distance comes out the same no matter the order of the subtraction.
distance = 250
2) Just think of what the problem means and do a little calculation.
120 is a positive number, so it is located 120 units to the right of zero.
-130 is a negative number, so it is located 130 units to the left of zero.
To find the distance between the two numbers, think of starting at -130. You need to go 130 units right to reach zero. Then from zero you need to move another 120 units right to reach 120. The total distance is 130 + 120 which equals 250.
distance = 250
equation for the area of a circle with a diameter of 31.6 cm. Use 3.14 for
[tex]\pi[/tex]
[tex] [/tex]
Answers
Answer:
783.8696
Step-by-step explanation:
The way to find the area of a circle is to find the radius, multiply it by itself, then multiply by pi. The diameter is double the radius so we have to divide the diameter by 2 to find the radius. 31.6/2 is equal to 15.8, and if we plug it into our formula, we can find that the area is 15.8 * 15.8 * pi, and since we use 3.14 for pi, the area is 15.8 * 15.8 * 3.14. We can use a calculator for this part and find that the area of this circle is 783.8696.
Area of a circle is PI x r^2
You are given the diameter, the radius is half the diameter:
Area - PI x 1/2(diameter)^2
Area = 3.14 x 1/2(31.6)^2
Area = 3.14 x 15.8^2
Area = 3.14 x 249.64
Area = 783.8696 sq. cm. ( Round answer as needed)
Howwwwww do I solve this plssssss
Answers
Answer:
Step-by-step explanation:
Myles doesn't want to spend more than $11,000 per month on gate keepers. He hires 12 gate keepers who work an
average of 70 hours per month. What should Myles pay for an hourly rate in order to stay within budget
Answers
Answer:
$13.09 for an hourly rate
Step-by-step explanation:
-1=5+x/6 how do you solve the equation?
Answers
-1=5+1/6x
Now multiply both sides by 6 and you’ll get -6=30+x
Then move the variable to the left side and change the sign.
-x-6=30
Then you will add 30 and 6 and you will get 36.
Now after that you will change the signs on both the equations and you will get your answer x=-36!
−6(x+7) pls help me.
Answers
-6x-42=0
+42 +42
-6x= 42
————
-6. -6
x= -7
If my home is 15 ft in length and 20 ft in width what is my house’s height?
Answers
Answer: What grade work this is? Ima help you.
.Step-by-step explanation:
You want to take out a loan to buy a new car for which you need to finance $20,089. Your bank will give you a loan at 10% compounded monthly. You look at your budget and decide that you can afford a payment of $269 a month. How many years, to the nearest tenth of a year, must the loan be taken out to meet these conditions?
A) 20.5 years
B) 13.7 years
C) 9.8 years
D) 5.9 years
Answers
Write the sum of unit fraction for 2/3
Answers
Pls help extra points and mark brainlist
Answers
Answer:
it is c none of the above
Step-by-step explanation:
Fission reactions release ______ fusion reactions.
A. more energy than
B. less energy than
C. the same amount of energy as
Answers
Step-by-step explanation:
b less energy than Fusion reactions
Figure ABCD has vertices A(-3,2), B(2, 2), C(2,-4), and D(-3,-2). What is the area of Figure ABCD?
5 square units
20 square units
25 square units
40 square units
Answers
Answer:
Here's an answer so you can give the other person Brainly! :)
Step-by-step explanation:
And i'm pretty sure it's C: 25 :))))!
asap! add the formula too please!
Answers
Answer:
Step-by-step explanation:
A tile is 4 inches long.
If 4 tiles are placed sided by side, what would be the approximate total length in centimeters? (1 in 2.54 cm)
A
10 cm
B
16 cm
с
32 cm
D
40 cm
Answers
Answer:
D 40
Step-by-step explanatio x 4=