Answers
Answer:
Yes, they are congruent. They must be congruent because you know that 3 out of the 3 angles are identical between the two triangles. You know this because both triangles have a right angle (90°) and another identical angle (the two curves). This means that the 3rd angle for both triangles must be identical as well. Therefore, the triangles are the same.
Related Questions
10.3--Angles in a Triangle
Please help
Answers
The measure of x, p, q and r are 65, 20 , 40 and 40 degrees respectively.
Sum of interior angle of a triangleThe sum of interior angle of a triangle is 180 degrees. Applying the theorem to each question.
3) 40 + x + 75 = 180
115 + x = 180
x = 180 - 115
x = 65 degrees
4) p + 40 + 120 = 180
p + 160 = 180
p = 20degrees
5). The triangle is isosceles showing that the base angles are equal.
100 + q + r = 180
100 + 2q = 180
2q = 80
q =r = 40 degrees
Hence the measure of x, p, q and r are 65, 20 , 40 and 40 degrees respectively.
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Ginger has 52 stamps and 68 regular
stickers. What is the ratio of stamps to
regular stickers? What is the simplified
ratio?
Answers
Answer:
13 stamps : 17 stickers
Step-by-step explanation:
52 stamps : 68 stickers can be simplified down to 13 stamps : 17 stickers because their greatest common factor is 4
As air is moved through a duct by a fan, friction between the air molecules and the sides of the duct creates a resistance to movement. Friction loss charts are available to determine the friction loss for a given quantity of air passing through a given size of duct, per 100 feet of duct. You know that a section of exhaust duct is 64 meters long, but you cannot determine the friction loss unless the duct length is in feet. You know that one meter is equal to 3.28 feet. How long is the 64-meter section of duct in feet? Round your answer to a whole number.
Answers
The length of the 64 meters section in feet is 210 feet
How to determine the length of the section of duct in feet?The given parameters are:
Length = 64 meters1 meter = 3.28 feetMultiply both sides of 1 meter = 3.28 feet by 64
64 * 1 meter = 3.28 feet * 64
Evaluate
64 meters = 209.92 feet
Approximate
64 meters = 210 feet
Substitute 64 meters = 210 feet in Length = 64 meters
Length = 210 feet
Hence, the length of the section in feet is 210 feet
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find the volume of the rectangle prism
Answers
Answer:176
Step-by-step explanation:
8 x 2 x 11
(100 POINTS) Use the Internet or another resource to find the definition of the Fundamental Counting Principle. What does this principle state? How can the principle be used to help you identify a sample space for a compound event? What are the limitations of using the Fundamental Counting Principle when determining the probability of an outcome? Support your answers with an example.
Answers
Answer:
The fundamental counting principle is a rule used to count the total number of possible outcomes in a situation
Construction This section of a concrete skateboard ramp has the shape of a triangular prism. Find the volume
of the triangular prism. Find the value of the concrete used in the ramp if the cost of concrete is $4.00 per cubic
foot.
Answers
Answer:
volume = 73.3ft³
value = $194.4
Step-by-step explanation:
volume of prism = (½bh)l
=(½×4×4)×9.2
=73.6ft³
value of concrete
1ft³ : $4.00
73 .6ft³ : X
X : (73.6ft³ × $4.00) ÷ 1ft³
X : $294.4
Find the volume (to the nearest cubic foot) of a cone with base radius 4 ft. and height 8 ft. a. 43 cu. ft. c. 134 cu. ft. b. 128 cu. ft. d. 402 cu. ft.
Answers
Volume is a three-dimensional scalar quantity. The volume of a cone with a base radius of 4 ft. and height of 8 ft. is 134 ft³.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
The volume of a cone with a base radius of 4 ft. and height of 8 ft. can be written as,
Volume = (π/3)×(Radius)²×Height
= (π/3)×(4)²×8
= 134.0412 ft³ ≈ 134 ft³
Hence, the volume of a cone with a base radius of 4 ft. and height of 8 ft. is 134 ft³.
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A line segment has more then one midpoint true or false
Answers
Answer:
false
Step-by-step explanation:
any line segment or distance has only one midpoint.
there is only one middle to everything.
how would that look like, if something had 2 middles ?
then they would not be a middle, and the middle between these 2 middles would then be the real middle ...
Answer:false
Step-by-step explanation: If a line segments has endpoints A and B, then the midpoint of that line segment is a point, M Such that M. Becuase A line segment can only IM SAYING ONLY 1 MIDPOINT!
use decomposition to find the area of the figure
Answers
6.12/2 => 36cm
A researcher wishes her patients to try a new medicine for depression. how many different ways can she select 5 patients from 50 patients?
Answers
There are 2118760 ways to select 5 patients from 50 patients.
What is Combination?Combinations are selections made by taking some or all of a number of objects, irrespective of their arrangements.
Here, Total patients= 50
Number of selection is to made = 5
So, total ways of selection = ⁵⁰C₅
= (50X49X48X47X46) / (5X4X3X2X1)
= 2118760 ways
Thus, There are 2118760 ways to select 5 patients from 50 patients.
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Answer:
2118760
Step-by-step explanation:
She can select 5 patients from 50 patients in :
[tex]50c_{5}[/tex]
= [tex]\frac{50!}{5! (50-5)!}[/tex]
= [tex]\frac{50!}{5! 45!}[/tex]
= 50 x 49 x48 x47 x46 x45!
= 2118760
In a lab, a substance was cooled by 6 degrees celsius each hour for 12 hours.
The total change in temperature was what?
Answers
Answer:
72 degrees 72° Celsius. It changed by 72 degrees.
Step-by-step explanation:
6 * 12 because it changed 6 degrees each hour for 12 hours
6 *
12
—-
72
Answer:
72 degree Celsius
Step-by-step explanation:
Since every hour the temperature is cooled by 6⁰C and the total time spent was 12 hour we can do a simple multiplication shown:
6 * 12 = 72
Question 21 of 25
f(x) = 3x + 2
What is f(5)?
OA. 17
OB. 15
OC. 10
01
Answers
Answer:
A. 17
Step-by-step explanation:
f(x) = 3x + 2
f(5) = 3(5) + 2
= 15 +2
= 17
;)
Rachel rides her bike due east at 9 miles per hour. Amos rides his bicycle due north at 12 miles per hour. If they left from the same point at the same time, how far apart will they be in 1 hour? Geometry and measurement :))) help please.
Answers
They will be 15 miles apart after one hour if they left the same point at the same time.
How do we measure and calculate the distance in Geometry?The distance between two points in geometry can be calculated by using the Pythagoras theorem.
Mathematically, the Pythagoras theorem can be expressed as:
[tex]\mathbf{d = \sqrt{x^2 +y^2}}[/tex]
where;
x and y are opposite and adjacent sides respectively.[tex]\mathbf{d = \sqrt{(9)^2 +(12)^2}}[/tex]
[tex]\mathbf{d = \sqrt{81+144}}[/tex]
[tex]\mathbf{d = \sqrt{225}}[/tex]
d = 15 miles
Therefore, we can conclude that they will be 15 miles apart after one hour if they left the same point at the same time.
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For what values of t can 10x2+tx+8 be written as the product of two binomials?
Answers
Answer:
7
Step-by-step explanation:
The number scale used on this map is 1:10 000 000 explain what this scale means?
Answers
Answer:
1 unit on the map is equivalent to 10 000 on the ground or reality
Hello i need help ASAP i cant figure this out its just like part A
and i i have 1 hour
Answers
Number of unmarked wolves: 928 - 232 = 696
probability of next wolf being unmarked = 696 / 928 = 0.75
0.75 x 100 = 75%
Answer: 75%
In a city, the distance between the library and the police station is 3 miles less than twice the distance between the
police station and the fire station. The distance between the library and the police station is 5 miles. How far apart
are the police station and the fire station?
O 1 mile
O 3 miles
O4 miles
O6 miles
Answers
Answer:
C. 4 milesStep-by-step explanation:
Let the distance between police station and the fire station be x.
According to question we have:
the distance between the library and the police station is 3 miles less than twice the distance between the police station and the fire station,the distance between the library and the police station is 5 miles.It can be expressed as:
5 = 2x - 3Solve the equation for x:
2x = 5 + 32x = 8x = 4Correct choice is C
If you wanted to make the graph of y=3x+1 steeper which equation could you use
Answers
Answer:
Increase the slope
Step-by-step explanation:
The slope of this line is '3' ......a steeper line has a higher number than '3' in front of the 'x' like y = 4x+3 or y = 7x + 12
The nth term of a different sequence is 2^n+5 show that 36 is not part of the sequence
Answers
Answer:
It is not a term of the sequence
Step-by-step explanation:
See attached image
It cost Makayla $2.80 to send 28 text messages. How much would it cost to send 163 text messages?
Answers
Answer:
$16.30
Step-by-step explanation:
Hope this helps! Have a great day!!
The cost of 163 text messages is $16.3
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Steps to Use Unitary Method
First, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.
Let's start with finding the price of one ice cream. Divide the entire cost of ice cream by the total number of ice creams to get at that. A single ice cream will cost you 125 divided by the amount of ice creams, or 25 cents. Consequently, 1 ice cream costs $25.Step 2: To calculate the price of three ice creams, multiply the price of one ice cream by the quantity. Cost of 1 ice cream x number of ice creams = 25 x 3 = $75 is the price of 3 ice creams. The final cost is $75, which is the price of three ice creams.Given:
price for 28 text messages = 2.80
So, price for 1 text messages = 2.80/ 28
= $ 0.1
Now, the price for 163 messages = 163 * 0.1
= $16.3
Hence, the price for 163 text messages be $16.30.
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4.
In the diagram of AABC below, DE || BC,
AD= 3, DB=2, and DE = 6.m
6
E
2
B
What is the length of BC?
1) 12
2) 10
3) 8
4) 4
C
Answers
hope this helps :))
The Question is in the picture because I could not type it out correctly for some reason.
Answers
Step-by-step explanation:
the circumference of a complete circle (360°) is
2×pi×r
in our case
2×pi×3 = 6pi (= 18.84955592... ft)
5 ft is now what fraction of the whole circumference ?
because the corresponding arc angle is the same fraction of 360°.
5 ft are 5/(6pi) of the whole circumference.
so, the arc angle AB is
5/(6pi) × 360 = 5×60/pi = 300/pi = 95.49296586...°
but maybe you need the angle in radians instead of degrees ?
then remember, 360° = 2pi radians.
and then the arc angle AB is
5/(6pi) × 2pi = 10/6 = 5/3 = 1.666666... radians.
Which of the following is true about a function that is constant?
It is a horizontal line.
It moves in an upward direction.
It moves in a downward direction.
It is a curve.
Answers
A function assigns the values. The correct option that describes a constant function is that It is a horizontal line.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The correct option that describes a constant function is that It is a horizontal line.
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Answer: the answer is A the others are linear or higher
It moves in a horizontal line. Its 'y value' does not change.
Step-by-step explanation:
I need help please answer fast!!!
Answers
Answer:
2 and -4 :) because -2×4=-8, and 4+(-2)=2. Solve x-2=0 and x+4=0, you get the answer I previously mentioned!
A dune buggy rental company charges $35.50 plus 9¢ per mile
for each mile you drive. You are charged $60.25 for the rental.
You want to know the number of miles you drove.
Represent the situation with an equation and solve the
equation using any of the methods you learned in the last
topic.
Answers
The number of miles he drove for a cost of $30.50 is 275 miles.
How to find the number of miles using linear equation?Using linear equation,
y = mx + b
where
m = slopeb = y-interceptTherefore,
9 cents = $0.09
y = 35.50 + 0.09x
where
x = number of miles drove
y = total cost
Therefore,
60.25 = 35.50 + 0.09x
60.25 - 35.50 = 0.09x
24.75 = 0.09x
x = 24.75 / 0.09
x = 275 miles
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One of the legs of a right triangle measures 6 cm and its hypotenuse measures 8 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answers
Your final answer is 5.3 cm.
you deposit a check for $254.67 into your savings account. Your account has a balance of $419.33 after the deposit. Find the balance of your savings account before the deposit.
Answers
Answer:
$164.66
Step-by-step explanation:
Just subtract them from each other
If a line has a slope of 2 and contains the point (-2, 1), what is its equation in
point-slope form?
A. y +2=-2(x-1)
B. y-2 =-2(x-1)
C. y-1=2(x-2)
D. y- 1 = 2(x+ 2)
Answers
Answer:
D
Step-by-step explanation:
the equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
here m = 2 and (a, b ) = (- 2, 1 ) , then
y - 1 = 2(x - (- 2)) , that is
y - 1 = 2(x + 2)
A die has six sides, with the numbers 1, 2, 3, 4, 5, and 6. What is the probability of rolling a number greater than 2?
Answers
Answer:
1/2
Step-by-step explanation:
There are 3 numbers greater than 2: 3, 4, 5, and 6. There are 6 numbers, so it is 3/6=1/2.
7. The perimeter of a circle of diameter 10 cm is-
(a) 30.4 cm. (b) 30.14 cm
(c) 31.4 cm. (d) 30.01 cm.
(Take π = 3.14)
Answers
[tex]\qquad\qquad\qquad\boxed{\bf\:\:{(c) \: 31.4 \: cm \: ans \: }}[/tex]
Explanation -:
The diameter is = 10 cm
( Take π = 3.14 )
[tex] \\ \: \tt :\implies \: 10 \: \times 3.14 \\ \\ 31.4 \: ans[/tex]
More Information -:
Area of circle= πr² Circumference= 2 πr π = 22/7 or 3.14 ( approx )Annulas = π(R² - r ²)