Answer:
ΔLMN ≅ ΔLQP by (SAA)
Step-by-step explanation:
It is given that line (NM) is congruent to the line (PQ), meaning they have the same measure. This is signified by the small red line on each of these sides.
Moreover, it is also given that angle (MNL) is congruent to angle (QPL), this is shown by the red arc around these angles.
Finally one can figure out that angle (NLM) is congruent to angle (PLQ) by the vertical angles theorem. The verticle angles theorem states that when two lines intersect, the opposite angles are congruent.
Thus the two triangles are congruent by side-angle-angle postulate, abbreviated as (SAA).
the expression cos x (cos x - tanx sin x) simplifies to...
Answer:
cos(2x)
Step-by-step explanation:
The simplified expression is
How to evaluate trigonometric expression?
A Trigonometric expression consists of sin, cos and various other parameters which can be simplified using identities.
Given expression:
cos(x){cos(x)-tan(x)sin(x)}
Evaluation:
[tex]cos(x)(cos(x)-\dfrac{ sin(x)*sin(x)}{cos(x)})[/tex]
[tex]cos(x)(\frac{cos^{2} x-sin^{2}x}{cos(x)} )[/tex]
[tex]cos^{2}x-sin^{2}x[/tex]
[tex]cos2x[/tex]
Therefore, the given expression simplifies to cos2x.
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pls help! In the figure below, m∠ABC = 57 degrees and m∠DAB =116 degrees. What is m∠ABC?
Answer:
59°
Step-by-step explanation:
116-57=59
the outside angle is the 2 inner angles added together
Answer:
59 degrees
Step-by-step explanation:
you can use angle DAB to find out angle BAC by subtracting 180 and 116 to get 64
add 57 and 64 to get 121
subtract 180 and 121 to get 59 degrees.
Solve the rational inequality x-2/x + x+2/x+3 < 3/2 represent your answer using a number line and using interval notation
Answer and explanation:
To solve the inequality x-2/x + x+2/x+3 < 3/2 we have to first simplify the expressions on the left side of the inequality sign. And so we multiply x by the expressions on the left side to eliminate fractions:
=x(x-2/x)+x(x+2/x)+x(3)< 3/2
=x-2+x+2+3x < 3/2
=5x < 3/2
x < 3/2/5
x < 3/2×5/1
x < 15/2
x < 7 1/2 or 7. 5
Arianna solved a fraction division problem using the rule " multiply by the reciprocal ". Her work is shown below 2/3 divided by 4/5 2/3 x 4/5 = 8/15
Answer:
2/3 divided by 4/5 = 5/6
Step-by-step explanation:
Arianna working:
2/3 divided by 4/5
= 2/3 x 4/5
= 8/15
Correct working:
2/3 divided by 4/5
= 2/3 ÷ 4/5
Multiply 2/3 by the reciprocal of 4/5
= 2/3 × 5/4
= (2*5) / (3*4)
= 10/12
= 5/6
2/3 divided by 4/5 = 5/6
Arianna's mistake was she didn't multiply by the reciprocal of 4/5
What is the initial value of the function represented by this graph?
~ 5
~ 2
~ 0
~ 1
answer for 40 points!!!
Answer:
a)47/8
b)53/12
c)31/6
d)53/6
e)68/5
f)64/9
Step-by-step explanation:
Answer:
First add the fraction then the whole number
Step-by-step explanation:
a)47/8
b)53/12
c)31/6
d)53/6
e)68/5
f)64/9
A car travels about 63 feet in one second. At this speed about how many feet will the car travel in 7 seconds.
Answer:
441 feetStep-by-step explanation:
First we need to make this word problem into just numbers. Since we know feet per second (fps) we will multiply this by the given amount of seconds to find the answer
63 × 7
Now solve
After solving you should get 441 which is the answer
*EXTRA*
I have included a graph but it is hard to use since it is such a narrow line but still helpful since there is the equation included
help please :/
jejsjsj
Answer:
-6
-21
12
Step-by-step explanation:
can i get brainly
Answer:
- 6, - 21, 12
Step-by-step explanation:
(1)
2x - 7 = - 19 ( add 7 to both sides )
2x = - 12 ( divide both sides by 2 )
x = - 6
(2)
[tex]\frac{x}{-3}[/tex] + 5 = 12 ( subtract 5 from both sides )
[tex]\frac{x}{-3}[/tex] = 7 ( multiply both sides by - 3 to clear the fraction )
x = - 21
(3)
[tex]\frac{3}{4}[/tex] x - 5 = 4 ( add 5 to both sides )
[tex]\frac{3}{4}[/tex] x = 9 ( multiply both sides by 4 to clear the fraction )
3x = 36 ( divide both sides by 3 )
x = 12
easy algebra question below first correct answer gets brainliest
Answer:
x ≈ ± 3.87
Step-by-step explanation:
Given
x² - 3 = 12 ( add 3 to both sides )
x² = 15 ( take the square root of both sides )
x = ± [tex]\sqrt{15}[/tex]
Then x ≈ 3.87 or x ≈ - 3.87 ( to 2 dec. places )
NEED HELP ASAP !!
A. x=14; angle measure is 30°
B. x=14; angle measure is 42°
C. x=14; angle measure is 30°
D. x=10; angle measure is 42°
Answer:
C
Step-by-step explanation:
i dont really know anything about angles but it looks like the 3x is the exact same angle as 30 degrees on the other side of it
3x=30
x=10
a pair of shoes cost
$74.99 and tax is
9%. What is the
total cost of the shoes?
Answer:
i believe the answer is $81.74
Step-by-step explanation:
74.99*9%
= 6.7491
74.99+6.7491
=81.7391
=$81.74
good luck :)
i hope this helps
brainliest would be highly appreciated
have a nice day!
Please help i rlly need help
Answer:
Light, Volume
Step-by-step explanation:
The volume of sound; the loudness or softness of a musical passage.
help please.
giving brainliest
Answer:
17 qt
Step-by-step explanation:
Working alone, Darryl can mop a warehouse in 11 hours. Elisa can mop the same warehouse in 9
hours. If they worked together how long would it take them?
Answer:
≈ 5 hoursStep-by-step explanation:
Time needed if they work together:
1 / (1/11 + 1/9) = 1/ (20 / 99) = 99/20 ≈ 5 hoursA normal distribution of 10 and a standard of 1. What is the probability of selecting a number that is at most 9?
Answer:
0.15866
Step-by-step explanation:
The term at most 9 means = less than or equal to 9
This represented as x ≤ 9
We solve using the z score formula
z = (x-μ)/σ, where
x is the raw score = ≤ 9
μ is the population mean = 10
σ is the population standard deviation = 1
z = 9 - 10/1
z = -1
Probability value from Z-Table:
P(x ≤ 9) = 0.15866
Therefore, the probability of selecting a number that is at most 9 is 0.15866
If Westville has 15,200 households, predict the number of households that will have exactly 3 computers? Please answer I need help
Answer:
1140 households
Step-by-step explanation:
The results of a computer survey of 80 households in Westville are shown in the table.
So from the table we can see that 6 households have 3 numbers of computers.
So the probability is [tex]$\frac{6}{80}$[/tex]
Therefore, the probability of number of houses from a total of 15,200 houses to have exactly three computers is = [tex]$\frac{6}{80} \times 15200$[/tex]
= 1140 houses
Kevin is painting a border around his dining room. What measurement does Kevin need to know about the wall before he starts?
1: Area
2: Volume
3:Perimeter
Answer:
Perimeter
Step-by-step explanation:
Perimeter is the distance around an object. In this scenario the object in question would be Kevin's dining room. Keyword for perimeter here is around.
what is the full form of CRT
Answer:
Cathode Ray tube is the answer I think
Can All mixed numbers can be renamed as decimals?
Answer:
We can convert a mixed number (or mixed fraction) to a decimal. Strategies to convert mixed fractions to decimals: Change the mixed fraction to an improper fraction and then divide. Convert the fractional part only and then add it to the whole number.
Answer:
Yes
Step-by-step explanation:
Any mixed number that you have, is really the whole number and a set amount of fractions behind it.
If you have 3 [tex]\frac{6}{9}[/tex], then you can change that to 3.6666.... If you have 1 [tex]\frac{1}{2}[/tex], then you can change that to 1.5.
Hope that this helps!
Find the area of this shape *
Answer:
134.1 ft²
Step-by-step explanation:
Fine the area of the square first, then subtract the area of the circle to find the area of the shaded part.
The area of the square
= 25²
= 625 ft²
The radius of the circle
= 25 ÷ 2
= 12.5 ft
The area of the circle
= π × 12.5²
= 490.87385...
= 490.9 ft² (rounded up to the nearest tenth)
The area of the shaded part
= 625 - 490.9
= 134.1 ft²
Write the following expression using rational exponents. ^7√y^4= y^ The numerator of the exponent is Select a Value The denominator of the exponent is Select a Value.
Answer: The Numerator of The Exponent =4
The Denominator of The Exponent= 7
Step-by-step explanation:
20 points Answer correct
Answer:
a
Step-by-step explanation:
sin25=x/18
x=0.4*18=7.6
Someone please! Check the answer twice! I just want one wrong and that’s it please! NO FILES I SWEAR IF SOMEONE ADDS A FILE THEIR GETTIN LA CANCLETA
Answer:
x = 55, because if you look the whole entire bar is 180° in total but you dont have to worry about that because that's not what the question is wanting you to look at, If you look really close there is a half and half on both sides so that means there is a 90° angle so you would have to take 90-35 and that is what gives you your missing angle which is 55.
Jessica bought 5 gallons of orange juice. The cost of 1 quart of orange juice is $2. How much, in dollars, did Jessica spend on orange juice?
Answer:
$40
Step-by-step explanation:
convert gallons to quart
1 gallon = 4 quarts
5 x 4 = 20 quarts
total cost = 20 x 2 = $40
Plzzzz Help
Matthew is planning to build a right triangular flower bed as shown below. He has set up the flower bed so that the following is true. Which of the following statements about the flower bed is true?
Find the difference:
3 4/6 - 1/6
O A. 21 / 1
O B. 273
O c. 3 1 / 3
N-
D. 34
E. 3
O E. 3
Answer:
3 1/2
Step-by-step explanation:
4 1 3
_ - _ = _
6 6 6
Then we simplify. 3 3 1
_ ÷ = _
6 3 2
Then just add your 3 and there 3 1/2 is your asnwer
The difference between 3 4/6 and 1/6 will be 3 1/2.
Given numbers are:
(1)[tex]3\frac{4}{6}[/tex] [tex]=\frac{22}{6}[/tex]
(2)[tex]\frac{1}{6}[/tex]
What is a fraction?A fraction is a part of a whole.
The Difference between [tex]3\frac{4}{6}[/tex] and [tex]\frac{1}{6}[/tex] will be = [tex](\frac{22}{6} )-(\frac{1}{6} )[/tex]
[tex]=\frac{22}{6} -\frac{1}{6}[/tex]
[tex]=\frac{21}{6}[/tex]
[tex]=\frac{7}{2}[/tex]
[tex]=3\frac{1}{2}[/tex]
Hence, the difference between 3 4/6 and 1/6 will be 3 1/2.
To get more about fractions visit:
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t−7≤12
asap please hjvgjuiohkbjknl m kl;m
Answer:
t is less than or equal to 19
Step-by-step explanation:
t-7<12
+7
t is less than or equal to 19
A cylindrical metal pipe has a diameter of 8.4 millimeters and a height of 10 millimeters. A hole cut out of the center has a diameter of 6 millimeters. A smaller cylinder is cut out of a larger cylinder. The smaller cylinder has a diameter of 6 millimeters. The larger cylinder has a diameter of 8.4 millimeters. Both cylinders have a height of 10 millimeters. What is the volume of metal in the pipe? Use 3.14 for and round the answer to the nearest tenth of a cubic millimeter. 282.6 mm3 271.3 mm3 553.9 mm3 836.5 mm3
Answer:
its b
Step-by-step explanation:
got it right on edge
The volume of the metal in the cylinderical pipe given the dimensions of the larger and smaller cylinders is 271.30 mm³.
What is the volume of the cylinder?A cylinder is a three-dimensional object. It is a prism with a circular base.
Volume of a cylinder = nr^2h
Where:
n = 22/7 r = radius = diameter / 2The volume of the metal in the cylinderical pipe = 3.14 x 10 x [(8.4/2)² - 6/2)²] = 271.30 mm³
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If the number of bacteria in a colony doubles every 480 hours and there is currently a
population of 200 bacteria, what will the population be 960 hours from now?
Answer:
800
Step-by-step explanation:
960 = 2 x 480, so the bacteria will double twice
200 x 2 x 2 = 800
A bag has 6 red rocks, 1 orange rock, 4 blue rocks, 1 white rock, and 7 yellow rocks. You randomly pull a rock from the bag, keep it out and then pull out another one. What is the probability of not getting a orange and then not getting a orange?
Answer: 17/19
Step-by-step explanation:
Number of red rocks = 6
Number of orange rock = 1
Number of blue rocks = 4
Number of white rock = 1
Number of yellow rocks = 7
Total number of rocks = 19
Probability of not getting a orange the first time will be (1 - 1/19) = 18/19.
Probability of not getting an orange the second time will be: (1 - 1/18) = 17/18
Probability of not getting an orange on both occasion will be:
= 18/19 × 17/18
= 17/19