Answer: see below proof
Step-by-step explanation:
Imagine a diagonal line AC
If AB = DC and AB // DC then angle BAC =
Angle ACD Alternate Interior angles theorem.
Then if AB = AD and angle BAC = angle ACD and AC = AC then triangle ABC is congruent to triangle CDA.
If triangle ABC is congruent to triangle CDA then AD = BC because congruent parts of congruent triangles are congruent.
If triangle ABC is congruent to triangle CDA then angle ACB = angle CAD because congruent parts of congruent triangles are congruent.
If angle ACB = angle CAD then AD // BC because of the alternate interior angles theorem.
2 planes leave the airport at the same time. their speeds are 140 mph and 170 mph and the angle between their courses is 25 degrees. how far apart are they after 2.5 hours
Answer:
183.27miles
Step-by-step explanation:
Note that we are considering two planes.
Plane 1
Speed = 140 mph
Time = 2.5 hours
Distance = ?
Speed = distance/time
140 mph = distance/2.5hrs
Distance = 140×2.5
= 350miles
Plane 2
Speed = 170 mph
Time = 2.5 hours
Distance = ?
Speed = distance/time
170 mph = distance/2.5hrs
Distance = 170×2.5
= 425miles
The angle between side is 25 degree
From cosine rule
c^2 = a^2 + b^2 − 2abcos(tetha)
Where a = 350
b = 425miles
c^2 = 350^2+425^2-2(350×425)(cos25)
c^2 = 122500+180625-297500(0.906)
c^2 = 303125-269535
c^2 = 33590
C = √33590
C = 183.27miles
The distance they flew apart after 2.5hrs is 183.27miles
A math test has 60 possible points. What percent correct is 52 point
Answer: If you got a 52/60, then your percent would be a 86%. which would be a B
Step-by-step explanation:
Answer:
The grade would be 87%. You would have a B+ (or a B depending on if your school does not use pluses and minuses for grades)
Step-by-step explanation:
52/60 = 87%
The side lengths of a triangle are 5, 8, and 12. Is this a right triangle?
O A. No, because 52 + 32 + 122.
OB. No, because 5+ 8 + 12.
C. Yes, because 52 + 82 = 122.
O D. Yes, because 52 + 82 < 122
Answer:
A) No...
Step-by-step explanation:
We can check if this triangle is a right triangle by using the Pythagorean Theorem.
a² + b² = c² where a and b are the legs of the right triangle, and c is the hypotenuse (longest side)Using 5 for a, 8 for b, and 12 for c, let's see if this satisfies the equation:
5² + 8² = 12²Simplify.
25 + 64 = 144 89 = 144We can see that 89 ≠ 144, so this leaves us with answer choices A and B. I think you meant to write < for the last + sign.
Seeing as the sum of the two lengths of the triangle is greater than the third side length, this creates a normal triangle. This cannot be the correct answer choice since this only satisfies the requirements for a triangle, but not a right triangle.
This leaves us with answer choice A. 52 + 32 ≠ 122 and 52 + 32 < 122. (I'm not sure why the squares of the side lengths are not used, but this should be the correct answer.)
what is the best estimate for the length off a car?
5 meters
5 kilometers
5 milimeters
5 centimeters
Answer:
5 meters
Step-by-step explanation:
Answer:
5 meters
Step-by-step explanation:
;)
what ratio language to describe the relationship of any two things you can think of
Answer:
The recipe called for 3 cups of flour and 4 cups of sugar. That means there are 3/4 cups of flour for each cup of sugar.
She drove 60 miles in 3hrs. This means she drove 60/3 = 20 miles per hr.
Step-by-step explanation:
In the isosceles trapezoid shown, GJ = 5 and Hi = 9. Determine the length of the
midsegment of the trapezoid.
A) 9
B) 7
C) 5
D)14
Answer:
The answer to the question provided is 7.
Answer:
b
Step-by-step explanation:
algebra 2!! please help im begging. i don’t understand this at all. thank you!
Answer:
Step-by-step explanation:
so the square root of 6 is the multipyed number of 8 plus 2 divided by9 is to times 8 plus 6
what is the solution set represented by this number line graph
Answer:
x ≥ 2
Step-by-step explanation:
The dot is shaded on the point positive 2 and the arrow is going right so its x ≥ 2.
I will give a brainliest for if you give me answers
Answer: When graphing start at (0,6). (1, 8) (3,12) (5,16) The total cost for 7 rides is $20.
Step-by-step explanation:
Answer:
the total cost for 7 rides is $14 plus how much it is to get in the fair is $6 so the total cost to get in and do 7 rides is $20 but the total cost for 7 rides is $14
Step-by-step explanation:
Answer is $14 for 7 rides
PLZ GIVE BRAINLIEST
3. Which situation could be solved using the equation -4 + 4 =0?
a) Teanni has $4 in her lunch account. She deposits $4 in her account when she gets to school.
b) Amanda recorded a temperature of -4°F at 8:00am. An hour later, the temperature
increased by 4°F.
c) Melany walks 4 blocks towards her home and stops at the store. She walks the remaining 4
blocks home.
d) Joshua places 4 counters, each representing -1, in a group. He creates a total of 4 identical
groups.
Answer:
b because -4°F plus 4°F would be 0°F
Sally made 17 bundles of 10 straws. How many straws did she made in all?
Answer:
170 straws
Step-by-step explanation:
10x17 is 170, so she made 170 straws
Answer:
The answer is 70 because 17x10=170
Megan is taking the bus from New York City to Montreal. The distance is 380 miles and the bus travels at a steady rate of 76 miles per hour. How long will the bus ride be?
Answer: 5 hours
Step-by-step explanation: 380/76
The bus will take 5 hours to reach Montreal from New York.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
Distance between Montreal to New York = 380 miles
Speed of bus = 76 miles per hour
76 miles ⇒ 1 hour
1 mile ⇒ 1/76 hour
Multiply by 380 on both sides
380 miles ⇒ 380/76 hours = 5 hours.
Hence "The bus will take 5 hours to reach Montreal from New York".
For more information about ratio and proportion,
brainly.com/question/26974513
#SPJ2
An animal shelter provides a bowl with 1.25 liters of water for 5 cats.
About how much water will be left after the cats drink their average daily amount of water?
Water Consumption
Animal Average Amount
(Liters per day)
Canada Goose 0.24
Cat 0.15
Mink 0.10
Opossum 0.30
Bald Eagle 0.16
liter(s) of water will be left after the cats drink their average daily amount of water.
Answer:
.50 left
Step-by-step explanation:
You have to multiply .15 times 5, then get that and subtract that number by 1.25, but do not worry about the decimal just add that in later, and the answer is .50
18.) Which expression is equivalent to -6x + 7.5?
A. -3(2x - 2.5) B. -3(2x + 2.5) C. -3(2x - 7.5)
D.-3(2x + 7.5)
Answer:
D
hope this helped:)
Hey, can someone help me with this question?
Step-by-step explanation:
A = P(1 + r)^t
£5263.73 = £4000(1 + 0.01x)^7
(1 + 0.01x)^7 = 1.3159325
1 + 0.01x = 1.04
0.01x = 0.04
x = 4.
The value of x is 4.
Which is the correct answer? and how can you find the answer
Answer:
?
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
-10/2=-5-7=-12
-8/2=-4-7=-11
Braniliest?
How do I work this out
Answer:
37
Step-by-step explanation:
all angles on a straight line add up to 180.
180-144=36.
180-73=106
106+36=142.
180-142 is 37
hope this helps!
Help me. I'm really confused!
Answer:
Step-by-step explanation:
Remember, the first point in a bracket like this (6, 1) is the x coordinate. Here, 6 is your x coordinate. So, if we actually had the line (which we don't have right now, it would be lined up with the number 6 on the x axis. And the second point, 1 here, is the y coordinate. Which tells you where this point falls on the y axis. it would be lined up with the number 1 on the y axis. First, let's work on the parts where you are listing the points. it seems to give you the x coordinate 2 on the first one. So on the x axis which is the horizontal line that says Number of Books Sold, go to the number 2. Then y upward with your mouse and the first point that appears with the x coordinate of 2 (it's the 2nd point if you start from the bottom of the line and go up) has the y coordinate of 20 because if you use your mouse to go left on the same gray line that point is on, you will hit 20 on the line that says Total Amount Payed (this is your y axis). Now, on the next point it just gives you the y coordinate, 40. Which means that it should be on the grey line that hits the number 40 on the Total Amount Payed line (your y axis). So if you find that point and go down with your mouse on the gray line right under it, you should hit 4. So that point is (4, 40). 6 is not labeled but it is the gray line after the 5 on the x axis. If you go up 6, you hit the to right corner of the graph and if you trace it to the y-axis, it's not labeled but it should be 60 because if you pay attention, the numbers on the y-axis are going up by 10s. The x coordinate represents The Number of Books Sold because it says that under the x axis. The y coordinate represents the Total Amount Payed (dollars). ordered pairs are like ratios because they are both pairs. Ordered pairs tell you how much to go up, down, forwards, and backwards on a coordinate plane while ratios tell you a proportion. I am including a picture to help you out. I hope this made sense and was helpful!
Solve for “z.”
Please help!
Answer: Z=5
Step-by-step explanation:
Solve the rational equation by combining expression and isolating the variable z
Which of the following are terms in this expression? Select all that apply.
2+8c+d+b
HELPPPPPP I HAVE 20 MINUTES LEFT
Answer:
2, 8, c, b, dStep-by-step explanation:
Terms are any numbers or variables that represent numbers. In other words, 2, 8, c, d, and b are all the terms of this expression.
Please answer !!
12x - 18y + 24
6 (2x + 3y-4z)
Step by step explanation:
6 (2x + 3y-4z)
im prob wrong-
Evaluate -x+23y if x=9 and y=2
Answer:
The answer is 37
10(2+ x + 3) simplify the expression
Find the slope of the line that passes through each pair of points. (8, 10) and (-7, 14)
Answer: -4/15
Step-by-step explanation:
The equation of a slope is: [tex]y_{1} - y_{2}/x_{1} - x_{2}[/tex]
You can basically use the y and x values of the both of these equations interchangeably (10-14) or (14-10) and you can get the same answer. However, the order you put in the y values, the x values must follow (if you do (14-10) for the y portion, then the x portion has to be (-7-8))
You just plug in the y values on the top, the x values on the bottom and solve!
1) Plug in your values (10-(14)/8-(-7))
2) Open up your parentheses (10-14/8+7)
3) Solve -4/15
These problems are mostly plugging in stuff so if you know the equation by heart, it becomes super easy :D
Why is the boundary line for aninequality involving ng dashed rather than solid?
car travels 177 milies in 3 hours at a constant speed. Which unit ratio represents the speed of the car?
Answer:
59 miles per hour
Step-by-step explanation:
800 adults were surveyed to find out how many notes per week they cook dinner 60% indicated that they cooked dinner more than four nights at per week based on the results of the survey how many adults out of a group of 2000 to cooked dinner more than four nights per week
Answer:
1200
Step-by-step explanation:
60 x
- = -
100 800
There are 2 ways to solve this.
1) 800 x 60= 48,000
Divide by 100= 480
x=480
2) Multiply 60 by 8.
Now there are another 2 ways to go.
1) 480 x
- = -
800 2000
OR2) 60 x
- = -
100 2000
I recommend the second option for both. It is easier. The second option allows you to find and equal ratio, with less of the hassle.To get 2000, 100 must be multiplied by 20. So.... multiply 60 by 20 to get a equal ratio.
Your answer is 1200. Meaning 1200 adults cooked dinner more than four nights per week.
I hope this helps you significantly
~~~LampteyJ
Answer:
1200
Step-by-step explanation:
how do you find the quadratic equation to a graph like this
Answer:
b²-4ac=0
Step-by-step explanation:
x=-b+0/2a
so,x=-b/2a
Find the solution of the system of equations shown on the graph
Answer:
(-2, 4)
Step-by-step explanation:
The solution to the systems of equations shown on the graph is the point at which the lines of both equations intersect each other.
The solution is (-2, 4). That is, for both lines, when x = -2, y = 4.
Pizza Paradise offers 4 types of crust, 10 toppings, and 8 kinds of cheese for the mega calzone. How many different mega calzones can be made if a mega calzone contains 3 different toppings and 3 different cheeses
Answer:
26880 ways
Step-by-step explanation:
Given
[tex]Crust = 4[/tex]
[tex]Toppings = 10[/tex]
[tex]Cheese = 8[/tex]
Required
Determine the number of ways 3 toppings and 3 cheese can be selected
The number of crusts to be selected was not stated. So, I'll assume 1 crust to be selected from 4.
This can be done in [tex]^4C_1[/tex] ways
For the toppings:
3 can be selected from 10 in [tex]^{10}C_3[/tex] ways
For the cheeses:
3 can be selected from 8 in [tex]^{8}C_3[/tex] ways
Total number of selection is:
[tex]Total = ^4C_1 * ^{10}C_3 * ^{8}C_3[/tex]
Apply combination formula:
[tex]Total = \frac{4!}{(4-1)!1!} * \frac{10!}{(10-3)!3!} * \frac{8!}{(8-3)!3!}[/tex]
[tex]Total = \frac{4!}{3!1!} * \frac{10!}{7!3!} * \frac{8!}{5!3!}[/tex]
[tex]Total = \frac{4*3!}{3!*1} * \frac{10*9*8*7!}{7!*3*2*1} * \frac{8*7*6*5!}{5!*3*2*1}[/tex]
[tex]Total = \frac{4}{1} * \frac{10*9*8}{3*2*1} * \frac{8*7*6}{3*2*1}[/tex]
[tex]Total = 4 * \frac{720}{6} * \frac{336}{6}[/tex]
[tex]Total = 4 * 120* 56[/tex]
[tex]Total = 26880[/tex]
Hence, there are 26880 ways