In the given triangle ABC in the figure, the value obtained for x will be equal to 6.
What is a triangle?The basic polygonal shape of a triangle has three sides & three interior angles. This is one of the fundamental shapes in geometry and is particularly associated. It has three connected vertices. Triangles can be divided into a variety of categories according to their sides and angles.
As per the given information in the question,
Use the equation of Pythagoras' theorem,
h² = p² + b²
(2x - 2)² = x² + (x - 2)²
4x² - 2(2x)(2) + 4 = x² + x² + 4 + 4x
4x² - 8x + 4 = 2x² + 4x + 4
4x² - 2x² - 8x - 4x + 4 - 4 = 0
2x² - 12x = 0
2x² - 12x = 0
2x(x - 6) = 0
So,
2x = 0
⇒ x = 0, it is not possible.
Or,
x - 6 = 0
x = 6
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The given question is incomplete, the complete question might be in the attachment.
Find the missing side of each triangle.
A) 10 cm
C) 17.1 cm
E) 5.8 cm
B) 11.4 cm
D) 13.8 cm
Answer:
The choice B) 11.4
Step-by-step explanation:
[tex] {x}^{2} + {(5.5)}^{2} = {(12.7)}^{2} \\ {x}^{2} + 30.25 = 161.29 \\ {x}^{2} = 13104 \\ x = 11.4[/tex]
By using Pythagoras theorem :
[tex] {x}^{2} = (12.7) {}^{2} - (5.5)x {}^{2} [/tex][tex] {x}^{2} = 161.29 - 30.25[/tex][tex] {x}^{2} =131.04[/tex][tex]x = \sqrt{131.04} [/tex][tex]x = 11.4[/tex]Correct choice is B
Explain how you could buy the total number of points the team has all together
Answer:
Just count them
Step-by-step explanation:
Write 3 different factorizations of the number 16
Answer:
1x16
2x8
4x4
Step-by-step explanation:
V
Calculate the length of Mary's trip.
10 miles
14 miles
24 miles
28 miles
Answer:
C) 24 miles
Step-by-step explanation:
Hope this helps! Pls give brainliest!
Answer:
C, 24 miles
Step-by-step explanation:
Please help me w this
Answer:
I can't give answer i don't have but....
percentage is similar to division.
Answer this for 50 points
Answer:
This would be point M.
Step-by-step explanation:
Hope this helps!
Answer:
M
Step-by-step explanation:
(3.75, -2.25)
The first coordinate is the x coordinate which means left or right.
Since it is positive we go to the right 3.75 units
The second coordinate is the y coordinate which means up or down
Since it is negative we go down 2,25 units
The point is labeled M
I will give brainliest if the following questions get answered :3.86 + 0.9876.31 + 48.55126 + 87.457
Answer:
Your answer would be 140.855891 or 140.9 rounded.
Step-by-step explanation:
3.86+
0.9876.31+
48.55126+
87.457=
140.855891 or 140.9 rounded to the nearest tenth
help me pls, if p ll q, then what is the measure of ACB
could someone please help answer this, no spam please, will give brainliest thank you!, (homework help)
Answer:
The answer would be B < - 1
heyyyyyyyyyy kinda need help asap sooooooo plz :)
Answer:
C and D are the most accurate/correct answers
Step-by-step explanation:
Find the value of x
solving steps
Answer:
x = 8
Step-by-step explanation:
Supplementary angles add up to 180 degrees to make a straight line.
The red square in one of them indicates that it is 90 degrees on their side which means that it is 90 degrees on the other where (6x+2) and 40 degrees are.
(6x+2) + 40 = 90
6x + 42 = 90
6x = 48
x = 8
find the perimeter of the shape below if x=3 and y=10
Answer:
the same time as a great day happy independence day
(3√81)/(3√24)rationalize the dominator and simplify
Answer:
3√6/4 or 1.84
Step-by-step explanation:
Please answer all 4 questions:)
Answer:
1. d=m/v
=57.6/112.9
=0.51018601
=0.510g/cm³(3s.f.)
2. m=d×v
=1.8×54
=97.2g
3. v=m/d
=63.8/12.7
=5.02362205
=5.02cm³(3s.f.)
4. v=length×breath×height
=12×2×6
=144m³
216g=0.216kg
d=m/v
=0.216/144
=0.0015kg/m³
Step-by-step explanation:
density=mass/volume
mass=density×volume
volume=mass/density
*make sure the units are correctly placed.
*g/cm³, kg/m³
Please help me solve this problem
Answer:
I would say translation
Answer:
translation
Step-by-step explanation:
translation is move the shape to other place with same shape and same size
reflection is reflect the shape ,it will not be same direction
Drew and Danielle are sightseeing for the day. Between the two of them they take 118 pictures. If Drew takes 14 more than three times as many pictures as Danielle, how many pictures for each friend take?
Answer:
Drew = 92 pictures, Danielle = 26 pictures
Step-by-step explanation:
Amount of pictures Drew has = x
Amount of pictures Danielle has = y
First make a system of equations:
x + y = 118
x = 3y + 14
Then solve with substitution:
(3y + 14) + y = 118
4y = 104
y = 26
x + 26 = 118
x = 92
Isosceles triangles may be obtuse or acute but never right.
A. True
B. False
What is the probability that Zeke gets a sum of 7
Answer:
≈
17
%
Explanation:
A sum of 7 can be achieved the following ways.
5 and 2
2 and 5
4 and 3
3 and 4
6 and 1
1 and 6
There are
6/2
=
3/6
possible outcomes and 6 ways to obtain the sum of 7 so
6 3/6
≈
17
%
Solve this plz ill give your brainly
Answer:
1) 280
There are 60 minutes in an hour. 60/15 is four. 4*70 is 280
2)384
640/5=128
128*3=384
3) 24
216/9=24
4)3
4.5=18/4
six times as many as you need.
1/2 times 6 is 3.
5)1120
280*4=1120
Hope this helps!
Jane started jogging home from 5 miles away, at a rate of 2 mph. Which equation in slope-intercept form represents Jane's distance from home?
Answer:
10 miles
Step-by-step explanation:
I need some help with 12 please
Answer:
its C
Step-by-step explanation:
thank me later
A car is traveling at 40 mi/hour. What is the car's speed in feet per second?
Answer:
58.8 feet per second
Step-by-step explanation:
At 40 miles per hour, you are traveling 58.8 feet per second. To convert miles per hour to feet per second, multiply the miles per hour figure by 1.47. There are 5280 Feet in a mile and 3600 Seconds in an hour. If you divide 5280 Feet by 3600 Seconds (5280 FT /3600 SEC.), you get 1.47.
Hope that helps :)
Which of the given is the set of zeroes of the polynomial p(x)=2x3+x2-5x+2
Answer:
x = 1, [tex]\frac{1}{2}[/tex], -2Step-by-step explanation:
To find the roots (zeros), replace y with 0 and solve for x .
Hope this helped. A brainliest would be very much appreciated. (I need 5 brainliest so I can level up) :)
A family drives 412 miles in 110 of an hour. What is their rate of speed in miles per hour?
MPH is the ratio Miles/hour
412=miles
110=hours
412/110 = 3.745 with 45 repeated
hopefully i got this right, the answer seems wrong to me.
Answer:
110 per hour
Step-by-step explanation:
ies xd
The graph of linear function k passes through the points (-3, 0) and (1, 8). Which statement must be true?
A. The x-Intercept of the graph of k is 8.
B. The slope of the graph of k is 2.
C. The graph of k passes through (-1, -8).
D. The zero of k is 3.
Fr someone help me
Answer:
B. The slope of the graph of k is 2.Step-by-step explanation:
Find the equation of the line.The slope is:
m = (8 - 0)/(1 + 3) = 2The y-intercept is:
0 = -3*2 + bb = 6The line is:
y = 2x + 6Now lets look at the answer optionsA. The x-Intercept of the graph of k is 8.
The x- intercept is -3, FalseB. The slope of the graph of k is 2.
m = 2, TrueC. The graph of k passes through (-1, -8).
-8 = 2(-1) + 6-8 = 4, FalseD. The zero of k is 3.
x = 0 ⇒ y = 0+ 6 = 6, FalseThe slope of the graph of k is 2.
The correct statement is B.
Given that the graph of linear function k passes through the points (-3, 0) and (1, 8).
We need to check which option is correct.
To determine the correct statement, let's first find the equation of the linear function k using the given points (-3, 0) and (1, 8).
The slope of a linear function is given by:
slope = (change in y) / (change in x)
Using the points (-3, 0) and (1, 8):
slope = (8 - 0) / (1 - (-3))
slope = 8 / 4
slope = 2
So, the slope of the graph of k is 2.
Now we can write the equation of the linear function using the slope-intercept form: y = mx + b, where m is the slope, and b is the y-intercept.
Using the point (1, 8):
8 = 2 × 1 + b
8 = 2 + b
b = 8 - 2
b = 6
Now, the equation of the linear function k is:
y = 2x + 6
Now, let's evaluate the given statements:
A. The x-Intercept of the graph of k is 8.
To find the x-intercept, we set y = 0 and solve for x:
0 = 2x + 6
2x = -6
x = -3
The x-intercept is -3, not 8. So statement A is false.
B. The slope of the graph of k is 2.
We already found earlier that the slope of k is 2. So statement B is true.
C. The graph of k passes through (-1, -8).
Let's check if (-1, -8) satisfies the equation of k:
-8 = 2 × (-1) + 6
-8 = -2 + 6
-8 = 4
The equation is not satisfied, so statement C is false.
D. The zero of k is 3.
To find the zero of k (the x-value where y = 0), we set y = 0 and solve for x:
0 = 2x + 6
2x = -6
x = -3
The zero of k is -3, not 3. So statement D is false.
In conclusion:
Statement A is false.
Statement B is true.
Statement C is false.
Statement D is false.
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If f(x) is the total cost, in dollars, of x cupcakes, which of the following statements best describes the meaning of f(5) = 12?
Answer:
See belowStep-by-step explanation:
This a form of the proportional relationship:
f(x) = kx, where f(x) - total cost, k- cost of each item, x - number of itemsWe have:
f(5) = 12It means:
Total cost of 5 cupcakes is $12In f(x)
f(x) is total costx is total cupcakesSo in f(5)
5 cupcakes cost $12Bus X travels 40 miles per hour for 2 hours; Bus Y travels 60 miles per hour for 1 1/2 hours. What is the difference, in miles, between the number of miles traveled by Bus X and the number of miles traveled by Bus Y?
Answer:
it should be 250m
Step-by-step explanation:
Bus X travels 40m for 2h which gives you 80m and Bus Y travels 60m for 11/2h which gives you 330m so the difference in miles is 250m
PLEASE HELP RN AQAP
THANKS!
Answer:
8^3 x 12^3
Step-by-step explanation:
Use the point-slope formula to write an equation of the line that passes through (-5, -4) and (3, -1).
Write the answer in slope-intercept form (if possible).
Answer:
point slope form: y + 4 = 3/8 (x + 5) slope intercept: y = 3/8x - 17/8
Step-by-step explanation:
y2 - y1 / x2 - x1
-1 - (-4) / 3 - (-5)
slope = 3/8
y + 4 = 3/8 (x + 5)
y = 3/8x + b
-1 = 3/8(3) + b
-1 = 9/8 + b
-17/8
y = 3/8x - 17/8
Evaluate
Write your answer as a fraction in simplest form.
HELP PLEASE
Answer
-3⁻³/6⁻²
= (-1*3)⁻³/(2*3)⁻²
= -1⁻³·3⁻³/2⁻²·3⁻²
= -1.3⁻³⁺²/2⁻²
= -1.3⁻¹/2⁻²
= -4/3
Step-by-step explanation: