Step-by-step explanation:
[tex] \underline{ \underline{ \text{Given}}} : [/tex]
[tex] \angle \: ABC = 65 \degree[/tex][tex] \underline{ \underline{ \text{To \: Find}}} : [/tex]
Value of x[tex] \underline{ \underline { \text{Solution}}} : [/tex]
[tex] \angle \: ACB = \angle \: ABC = 65 \degree[/tex] [ Base angles of isosceles triangle are equal ]
[tex] x \degree + 65 \degree + 65 \degree = 180 \degree[/tex] [ Sum of angle of a triangle ]
⟼ [tex] x \degree + 130 \degree = 180 \degree[/tex]
⟼ [tex] x \degree = 180 \degree - 130 \degree[/tex]
⟼ [tex] x = 50 \degree[/tex]
[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt{x = 50 \degree}}}}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
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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
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!
Find the solution to the system: x=2y-7 and 4x+y=71
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
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:
simplify 15 divided by 3 + 2 x 10
Answer:
5 + 20x
Step-by-step explanation:
Hey! Hope this helps!
Have a nice day♥
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:
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:
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]
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.
Find the value for M.
Answer:
it is 10
Step-by-step explanation:
Answer:
g
Step-by-step explanation:
g
please help!!!!!!!! it’s due in an hour!!!!!!!
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.
What is the length of BD?
Answer:
C) 12
Step-by-step explanation:
It is 6x2
Find the perimeter of a
square that has a side
length of x +5.
x + 20
2x + 10
4 + 20
PLEASE HELP MEE FAST
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]
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].
this is the question please help.
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]
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:
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
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
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:
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.
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.
Will give Brainliest!!!
What is the y=mx+b for the equation x−y=−8?
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.
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