9514 1404 393
Answer:
∠3 = 115°
Step-by-step explanation:
Angles 4 and 6 are "same-side interior angles", so are supplementary.
∠4 +∠6 = 180°
(x +5) +(2x -5) = 180
3x = 180
x = 60
The angles marked 3 and 6 are alternate interior angles, so are congruent. The measure of angle 3 is ...
∠3 = ∠6 = (2x -5)° = (2(60) -5)°
∠3 = 115°
Ben is traveling to Santa Cruz and needs a full tank of gas. A full tank of gas gives him a total of 260 miles until empty. So Ben goes to the gas station to fill up his tank but he only has $11.86. If $11.86 only gives Ben a total of 60 miles until empty, how much money does he need in all, to get a full tank of gas to drive to Santa Cruz? Round your answer to the nearest dollar. ?
260 miles / 60 miles = 4 1/3
He would need 4 1/3 more gas:
11.86 x 4 1/3 = 51.39
he would need $51.39
simplify the following
What one does not belong!!! Help
Answer:
the parallel lines
Step-by-step explanation:
the title is classifying angles... the parallel lines don't have an angle so I'm guessing it's the parallel lines
Please help if you can.
4/7 divided by 2 1/3 = ???
Answer:
[tex]\frac{12}{49}[/tex]
explanation:
Use the keep change flip method. This consists of literally flipping a fraction to make the denominators alike, allowing for faster solves and multiplication.
[tex]2\frac{1}{3}[/tex] is [tex]\frac{7}{3}[/tex], so flip 7/3 so it is 3/7, matching up with 4/7.
Next, multiply.
4 x 3
7 x 7
4 x 3 is 12. Write 12 as a numerator.
7 x 7 is 49. Write 49 as a denominator.
Therefore, the answer is [tex]\frac{12}{49}[/tex]
Simplifying? We cannot simplify this number due to a lack of factors.
What is the value of -5^6
Answer:
-15625
Step-by-step explanation:
Hope this helped !! :)
Have a good day.
A 160-inch board is cut into two pieces. One piece is four times the length of the other. Find the length of the shorter piece.
PLEASE HELP
Let the shorter piece be x. The longer piece is 4 times the length of the other, so it is 4x.
4x + x = 160.
5x = 160
x = 32
4x = 128
The length of the shorter piece is x, which is 32.
32 inchesHELP PLS find measure of w in this trapezoid
Answer:
m<w= 36°
Step-by-step explanation:
Step 1) Applying geometric and algebraic knowledge, the two angles to the left are both 90, and equal to 180. If you add those two angles and the 146°, you will be given 326 in total.
90+90= 180 +146 = 326
Step 2) With knowledge that the sum of all interior angles inside of a quadrilateral add up to 360, subtract 326 from this.
360-326=36
Final product: m<w=36°
For every 3 boys there is 5 girls. If there is 40 students in total. How many are boys?
Answer:
15
Step-by-step explanation:
Answer:
15 boys
Step-by-step explanation:
3+5=8
40/8=5
3X5=15
what is this one? please help
Please Answer Number 7
Answer: 32ft²
Step-by-step explanation:
The area of a trapezoid is given by the formula: A = [(b1+b2)/2] x h, where b1 and b2 are the two bases, and h is the height.
In our situation, b1 = 3, and b2 = 5. The height is given as 2.
Plugging these numbers into our formula:
A = (b1+b2)/2 x h
A = [(3+5)/2] x 2
A = (8/2) x 2
A = 4 x 2
A = 8ft²
8ft² is the area of one trapezoid. If Mr. Smith wants to fit 4 of these shapes into the room, the combined area will be 4 x 8 = 32ft².
Have a nice day :)
the triathlon is raising money by charging entry fees. They collected $600 in entry fees. Each participant paid $10. How many people paid to participate in the event?
Answer:
60
Step-by-step explanation:
$600
each person paid $10
600/10
60
What equation is equivalent to 5(2p - 6)= 40
Which expression is equivalent to |18|+ |-7|?
Answer:
18+7
Step-by-step explanation:
Individuals of the same approximate weight running 6 mph or 1 mile every ten minutes have a calorie use factor of 62% of their weight; i.E., calories burned = (weight)(0.62). If they run an 8-minute mile, the factor is 65%. A man weighs 180 lb. He jogs a mile in 8 minutes. How many calories has he used up?
Answer: He has used up 117 calories.
Step-by-step explanation:
Given, For 62% as factor, calories burned (E)= (weight)(0.62).
Also, if they run an 8-minute mile, the factor is 65%. [given]
Then, calories burned (E)= (weight)(0.65). [65%=0.65]
Weight of man = 180 lb
Then, calories burned (E)= 180 x (0.65).
= 117
Thus , he burned 117 calories.
So, he has used up 117 calories.
What’s the name of the transformation???
A factory needs to produce 1,800 jars of peanut butter on a certain day.
They start production at 8:30 A.M. By 10:30 A.M., they have produced 600 jars of peanut butter.
At what time will they complete the total number of jars that they need to produce?
A. 12:30 P.M.
B. 1:30 P.M.
C. 2:30 P.M.
D. 3:30 P.M.
Answer:
I think the answer is D
Does the relation in the table represent direct variation, inverse variation, or neither? If it is direct or inverse variation, write an equation to represent the relation. Explain your answer.
Answer:
Indirect variation
Step-by-step explanation:
If two variables change in inverse proportion, then it is called indirect variation.
xy = k where k is a constant.
5*2 = 10
10*1 =10
[tex]15*\dfrac{2}{3}=5*2=10\\\\\\20*\dfrac{1}{2}=10[/tex]
So, this is indirect variation.
What is the quotient. Of 25)9250
Answer:
370
Step-by-step explanation:
Isolate the numbers so that you are only dividing sections at a time.
So 25 goes in to 92 three times. so we multiply 25 by three and subtract that from 92. Put the three at the top and repeat throughout.
92-75=17
Bring the next number down and repeat.
Answer: 370 Remainder 0
Step-by-step explanation:
I
Evaluate −4x+y when x=5/4 and y=1/5. Write your answer as a mixed number in simplest form.
Answer:
[tex]-4\frac{4}{5}[/tex]
Step-by-step explanation:
-4x + y
Plug in your values for x and y
-4 (5/4) + (1/5)
-20/4 + 1/5
-5 + 1/5
= - 4 4/5
Mom is getting food ready for my birthday party! including me, there will be 24 people at the party. Mom is baking cupcakes for us! She can bake 16 cupecakes per batch. How many batch should i tell Mom to make so we can each have 4 cupcakes
Please Help me Its a Math question!!!! Please
Answer:
The first one should be the answer. 90 degrees counterclockwise.
Answer:
See below.
Step-by-step explanation:
The answer would be 90 degrees counterclockwise. Think of a clock. The direction it usually goes is clockwise. The opposite direction is counterclockwise. So, this triangle rotated counterclockwise.
-hope it helps
Are the lines y=0 and x=0 parallel?
Answer:
No, these equations are not parallel.
Step-by-step explanation:
The equation [tex]y=0[/tex] is a vertical line. This equation, in fact, is the y-axis.
The equation [tex]x=0[/tex] is a horizontal line. This equation, in fact, is the x-axis.
These lines are perpendicular, not parallel.
Turn y=1/2x + 3/2 into standard form
=============================================
Work Shown:
y = (1/2)x + 3/2
2y = x + 3 .... multiply every term by the LCD 2
2y-x = 3 ... subtract x from both sides
-x+2y = 3
x-2y = -3 ... multiply both sides by -1
The last step is done so that the x coefficient is positive
The equation is in the form Ax+By = C with
A = 1B = -2C = -3You could have your answer as -x+2y = 3, since that is also in standard form. But many math textbooks make A > 0.
what is the median of the data set {23 , 16 , 19 , 17 , 15 , 19 , 17 , 24 }
Answer:
7; 19; 24; 10; 17; 21; 6; 22; 5; 9
Arrange: 5; 5; 6; 7; 9; 10; 17; 19; 21; 22; 24
( 5+5+6+7+9+10+17+19+21+22+24 ) / 11
Mean = 145 / 11
Mean = 13,18
Mode = 5
(5 is the only value that appears most often)
Median = 10
Answer:
Step-by-step explanation: 119.5
(a) Find the approximations T10 and M10 for 2 25e1/x dx. 1 (Round your answers to six decimal places.) T10 = M10 = (b) Estimate the errors in the approximations of part (a). (Round your answers to six decimal places.) |ET| ≤ 0.001667 Incorrect: Your answer is incorrect. |EM| ≤ (c) How large do we have to choose n so that the approximations Tn and Mn to the integral in part (a) are accurate to within 0.0001? n = for Tn n = for Mn
Answer:
A) T10 = 50.549391
M10 = 50.477547
B) ║ET10 ║= 0.169093
║EM10║= 0.084946
C)for ║ETN ║ N = 421
for ║EMN ║ N = 292
Step-by-step explanation:
A) F(x) = 25e[tex]^{\frac{1}{x} }[/tex]
where a = 1, b = 2 and bx = 1/10
attached below is the detailed solution
B) f'(x) = [tex]- \frac{25}{x^{2} } e^{\frac{1}{x} } ,[/tex] f"(x) = 25 [([tex](\frac{2x+1}{x^4} )e^{\frac{1}{x} }[/tex]
attached below is the detailed solution
Draw a graph of y = 8x. From the graph, find the value of y when x = 1 ...... I need it fast..pls I will mark brainliest.
Answer:
Solving steps:
find the value of y when x = 1
=> y = 8(1)
multiply 8 by 1
=> y = 8
Hey there!
ORIGINAL EQUATION: y = 8x
This one should be quite easy to answer because we already have the value of x. (x = 1) all we have to do is find the y-value and where it is on the number line.
NEW EQUATION: y = 8(1)
SIMPLIFY IT!
y = 8
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Please solve these I need them
Answer:
option a might be correct but I am not sure maybe you should consult a tutor because he or she may know better than me
The measure of angle Q is 70 degrees. Find the measure of angle P.
Answer:40
Step-by-step explanation: because 70 times 2 = 140 and you add 40 will equal 180 because every triangle equals 180
The measure of angle m<P is 40 degrees
The given triangle is an isosceles triangle where:
m<R = m<Q
Taking the sum of the interior angles, we will have:
m<P + ,m<Q + m<R = 180
70 + 70 + m<P = 180
m<P = 180 - 140
m<P= 40 degrees
Hence the measure of angle m<P is 40 degrees
Larn more angles in a triangle here: https://brainly.com/question/25215131
What is the difference between the two points (0,9) and (0,1)?
Answer:
0,1-0,9
-0,8
Step-by-step explanation:
Subtract the second point from the first point.