========================================================
Explanation:
The three angles of this triangle are
20x9026x-2The square angle marker represents 90 degrees. It's also referred to as "a right angle".
As a rule, the three angles of any triangle always add to 180. Let's use this fact to solve for x
(angle1)+(angle2)+(angle3) = 180
(20x)+(90)+(26x-2) = 180
(20x+26x) + (90-2) = 180
46x+88 = 180
46x = 180 - 88 .... subtract 88 from both sides
46x = 92
x = 92/46 ........ divide both sides by 46
x = 2
Now that we know what x is, we can find angle A
angle A = 20x = 20*2 = 40 degrees
-------------
As extra info, we could also find the other angle with this x value
26x - 2 = 26*2 - 2 = 52 - 2 = 50 degrees
The three angles of the triangle are: 40, 50, 90 which add to 40+50+90 = 180. This helps confirm our answer.
A fraction is written in simplest form when the GCF of the
numerator and the denominator is
Answer:
simplified
Step-by-step explanation:
Answer: 1 -- that is, if they share no common factors other than 1
Step-by-step explanation:
please help!!!!!!!! it’s due in an hour!!!!!!!
5. A mountain has a base and peak that are inaccessible. At point A, the angle of elevation of the peak is
30°. One kilometer closer to the mountain, at point C, the angle of elevation of 35º. Find the height
PB of the mountain.
Answer:
1.366km
Step-by-step explanation:
The height of the mountain is [tex]3.34Km[/tex]
Right angle triangle:A diagram of right angle triangle PBA is attached below which describe the situation as given in the question.
Let us consider that H represent the height of mountain.
Angle of elevation at point A and C shown in the diagram.
Apply tan function in triangle CBP.
[tex]tan(35)=\frac{H}{x} \\\\H=xtan(35)=0.7x.........(1)[/tex]
Apply tan function in triangle ABP.
[tex]tan(30)=\frac{H}{x+1}\\ \\(x+1)tan(30)=H\\\\(x+1)=\sqrt{3}H\\ \\x=\sqrt{3}H-1........(2)[/tex]
Substituting the value of equation 2 into equation 1.
[tex]H=0.7(\sqrt{3}H-1)\\\\H=1.21H-0.7\\\\0.21H=0.7\\\\H=0.7/0.21=3.34Km[/tex]
Hence, The height of the mountain is [tex]3.34Km[/tex]
Learn more about the right angle triangle here:
https://brainly.com/question/64787
Find the length of WV
Answer:
I believe the answer would be 20.
Step-by-step explanation:
28/7 = 4
5*4 = 20
Pls mark brainliest <3
0Answer: The answer is 20
Step-by-step explanation:
Find the perimeter of a
square that has a side
length of x +5.
x + 20
2x + 10
4 + 20
PLEASE HELP MEE FAST
this is the question please help.
PLS HELP ASAP rob is saving money for a new mp3 player. For every $15 he saves $8. On Sunday he earns $45 how much does he save
Answer:
the answer for this problem would be 24 dollars.
A line passes through the points (-4,-1) and (4,3) a second line passes through the points (-2,-2) and (2,6) at what point do the two lines intersect
Answer:10
Step-by-step explanation:
What is the sum of the interior
angle measures of a polygon
that has 15 sides?
Sum = [?]°
Hint: Sum = (n-2)180
Enter
Corporation. All Rights Reserved
Will give Brainliest!!!
What is the y=mx+b for the equation x−y=−8?
I need the answer key for mid chapter check point grade 5 chap 7!! ASAP
Answer:
3/8
Step-by-step explanation:
1/2 x 3/4 = 3/8
You multiply the top by the number beside it and do the same for the bottom.
solve for x 5x + 3 - 2x = 24 (also don't have the answer be a fraction)
Answer:
x=7
Step-by-step explanation:
Let's solve your equation step-by-step.
5x+3−2x=24
Step 1: Simplify both sides of the equation.
5x+3−2x=24
5x+3+−2x=24
(5x+−2x)+(3)=24(Combine Like Terms)
3x+3=24
3x+3=24
Step 2: Subtract 3 from both sides.
3x+3−3=24−3
3x=21
Step 3: Divide both sides by 3.
Answer: x=7
Step-by-step explanation:
Given
5x + 3 - 2x = 24
Subtract both sides by 3
5x + 3 - 3 - 2x = 24 - 3
5x - 2x = 21
Simplify
3x = 21
Divide both sides by 3
3x / 3 = 21 / 3
x=7
Hope this helps!!
Please let me know if you have any questions
PLEASE HELP!!!!! Find the magnitude and direction of the vector <2,7>. Round angles to the nearest degree and other values to the nearest tenth.
7.3; 73°
7.3; 74°
7.4; 73°
7.4; 74
Answer:
It's 7.3; 74!
Step-by-step explanation:
This was a lucky guess for me on my homework and it was correct sooooo.... I don't really have an explanation...
Definition: For vector [tex]v=<a,b>[/tex], the magnitude is defined as [tex]|v|=\sqrt{a^{2} +b^{2} }[/tex], and the direction of the vector is defined as [tex]tan^{-1}(\frac{b}{a} )[/tex].
Here, [tex]v=<2,7>[/tex].
Then, magnitude is:
[tex]|v|=\sqrt{2^{2}+7^{2} } \\|v|=\sqrt{4+49 } \\|v|=\sqrt{53} \\|v|=7.3[/tex]
The direction is:
[tex]tan^{-1}(\frac{7}{2} )=74^{o}[/tex].
So, the correct option is 7.3,74°.
For more information:
https://brainly.com/question/14942332
Geometry help please and thank you
Answer:
125°
Step-by-step explanation:
By exterior angle theorem:
(3x - 70)° = 60° + x°
(3x - 70)° - x°= 60°
(3x - 70 - x)° = 60°
(2x - 70)° = 60°
2x - 70 = 60
2x = 60 + 70
2x = 130
x = 130/2
x = 65
(3x - 70)° = (3*65 - 70)° = (195 - 70)° = 125°
[tex] m\angle LKM = 125\degree [/tex]
solve for x? please help
Answer:
x = [tex]\sqrt{10}[/tex]
Step-by-step explanation:
The 2 right triangles and the outer right triangle are similar, then ratios of corresponding sides are equal, that is
[tex]\frac{x}{5}[/tex] = [tex]\frac{2}{x}[/tex] ( cross- multiply )
x² = 10 ( take the square root of both sides )
x = [tex]\sqrt{10}[/tex]
Answer:
√10
Step-by-step explanation:
taking the smallest triangle;
y as the hypotenuse, x as the adjacent side, 2 as the opposite side
then: y²=x²+2²
x²=y²-2²= y²-4
taking the other triangle;
z as the hypotenuse, x as the adjacent side, 5 as the opposite side
then: z²=x²+5²
x²=z²-5² = z²-25
take both equations,
x²= y²-4
x²= z²-25
y²-4= z²-25
y²= z²-25+4 = z²-21
taking the biggest triangle (whole triangle);
(5+2)= 7 as the hypotenuse, z as the adjacent side, y as the opposite side
then; 7²=z²+y²
z²+y²=7² =49
but y²= z²-21;
z²+y² =49
z²+ z²-21 =49
2z²-21=49
2z²=49+21= 70
z²= 70/2 = 35
take x²= z²-25
x²= 35-25 = 10
[tex]x = \sqrt{10} [/tex]
A jar contains sugar. The jar and the sugar have a total weight of 850 g. Anna uses 2/3 of the sugar. The jar and the sugar now have a total weight of 530 g. Work out the weight of the jar.
Answer:
[tex]J = 370g[/tex]
Step-by-step explanation:
Given
Represent the weight of the Jar with J and the sugar with S
Initially, we have:
[tex]J + S = 850g[/tex]
After 2/3 of sugar is removed we have:
[tex]J + S -\frac{2}{3}S= 530g[/tex]
Required
Determine the weight of the jar
[tex]J + S = 850g[/tex] --- (1)
[tex]J + S -\frac{2}{3}S= 530g[/tex] --- (2)
Simplify (2)
[tex]J + S -\frac{2S}{3}= 530g[/tex]
Take LCM
[tex]J + \frac{3S - 2S}{3}= 530g[/tex]
[tex]J + \frac{S}{3}= 530g[/tex]
Make S the subject in (1)
[tex]J + S = 850g[/tex]
[tex]S = 850g - J[/tex]
Substitute 850g - J for S in [tex]J + \frac{S}{3}= 530g[/tex]
[tex]J + \frac{850g - J}{3}= 530g[/tex]
Multiply through by 3
[tex]3 * J + 3*\frac{850g - J}{3}= 530g * 3[/tex]
[tex]3J + 850g - J= 1590g[/tex]
Collect Like Terms
[tex]3J - J= 1590g-850g[/tex]
[tex]2J= 740g[/tex]
Make J the subject
[tex]J = \frac{1}{2} * 740g[/tex]
[tex]J = 370g[/tex]
The jar weighs 370g
Answer:
370
Step-by-step explanation:
Soybeans have a conversion factor of 36.744 (bu/t). How much do 45 bushels weigh?
Answer:
the weight of 45 bushels is 1.22
Step-by-step explanation:
The computation is shown below:
As the soybeans has the conversion factor of 36.744
So the weight of 45 bushels be
= 45 ÷ 36.744
= 1.22
hence, the weight of 45 bushels is 1.22
Answer this question for 20 points.
Answer:
I believe the answer would be the option that says: "An elephant walks with a speed of 15 steps a minute. How long was the elephant walking if she walked without stopping for 480 steps?"
Answer:
C. An elephant walks with a speed of 15 steps a minute. How long was the elephant walking if she walked without stopping for 480 steps?
Step-by-step explanation:
C yields the equation of [tex]15x=480[/tex], because 15 stands for steps/minute, 480 for steps, so [tex]x[/tex] must stand for minutes.
For your entertainment:
A gives [tex]x = 480 \cdot 15[/tex].
B gives [tex]x=32-15[/tex].
D gives [tex]x=480+15[/tex].
In this parallelogram, triangle K has an area of 29 square centimeters. What is the area, in square centimeters, of the parallelogram?
29
58
43.5
14.5
Answer:
58. cm^2.
Step-by-step explanation:
Area of parallelogram = 2 * area of triangle
= 2 * 29
=58.
simplify 15 divided by 3 + 2 x 10
Answer:
5 + 20x
Step-by-step explanation:
Hey! Hope this helps!
Have a nice day♥
What is -3/8 ÷ (-1/2)?
Answer:
3/4
Step-by-step explanation:
-3/8÷(-1/2)
-3/8÷-1/2
-3/8÷2/-1
-3×2/-8
-6/-8
-(-6/8)
-(-3/4)
3/4
Answer:
3/4
Step-by-step explanation:
my teacher just told me that answer a few seconds ago
Find the value for M.
Answer:
it is 10
Step-by-step explanation:
Answer:
g
Step-by-step explanation:
g
What is the length of BD?
Answer:
C) 12
Step-by-step explanation:
It is 6x2
A photograph measures 10 cm by 18 cm
The photograph is enlarged by a scale factor of 1.5
(a)
Work out the new dimensions.
Sarah has $25 to spend at the grocery store. She spends $18.77. How
much money does Sarah have left?
Answer:
x=$75
Step-by-step explanation:
Pls help me out ty..
Answer:
3.14159265359
Step-by-step explanation:
Hope this helps :)
Answer:
3.14
Step-by-step explanation:
Technically, pi is a an irrational number, meaning that its decimal form neither ends or repeats. But we always shorten it to 3.14.
Pretty Please answer this!
Analyze the following image and state
Line of Symmetry
Coordinates of the Vertex, X - intercepts, Y - Intercepts.
Whether the graph is positive or negative.
Answer:
The x-intercept is where the graph crosses the x-axis, so in this case, the x-intercepts are (-4, 0) and (-2, 0).
The y-intercept is where the graph crosses the y-axis, so in this case, the y-intercept is (0,8).
The line of symmetry splits the graph in two equal halves, and it is x=-3.
Finally, because this graph opens up, the graph is positive.
Let me know if this helps!
The relationship between the intensity of sound((w)/(m^(2)))and the distance from the source of sound is represented by the equation (i)=((k)/(d^(2))).If you sit only one meter away from the stage at a rock concert the intensity of sound is about 0.1(w)/(m^(2)). If vanessa does not want the sound intensity to be more than 0.001(w)/(m^(2)) how close to the stage can she sit?
Answer:
10 m
Step-by-step explanation:
We are given that the relationship between intensity of sound and distance from the source is given by
Intensity (I)=[tex]\frac{k}{d^2}[/tex]
Where I=Intensity
d=Distance of sound from the source
If distance d=1m
Intensity, I=0.1[tex]w/m^2[/tex]
We have to find how close she can to the stage if vanessa does not want the sound intensity to be more than 0.001(w)/(m^(2)).
Using the formula
[tex]0.1=\frac{k}{1}[/tex]
[tex]k=0.1[/tex]
[tex]\frac{0.1}{d^2}\leq 0.001[/tex]
[tex]\frac{0.1}{0.001d^2}\leq 1[/tex]
[tex]\frac{0.1}{0.001}\leq d^2[/tex]
[tex]100\leq d^2[/tex]
[tex]10\leq d[/tex]
[tex]d=10 m[/tex]
Hence, she can sit 10 m away from the stage.
please help with geometry! #9!!
Answer:
6, 7, 8 are correct
9. 2) TU = 58Step-by-step explanation:
[tex]XV=\dfrac{RS+TU}2\\\\\\44=\dfrac{30+TU}2\\\\44\cdot2=30+TU\\\\88-30=TU\\\\TU=58[/tex]
Find the solution to the system: x=2y-7 and 4x+y=71