Answer:
x = 12
Step-by-step explanation:
Exterior angles thm:
8x - 10 + 5x - 12 = 134
13x - 22 = 134
13x = 134 + 22
13x = 156
x = 12
Lightning flashes and is followed by the sound of thunder. The formula that relates the time between seeing the lightning, hearing the thunder, and the distance from the storm is: t = 3y, where t=time (seconds) y= distance (kilometers) How far away is the lightning if you hear the thunder 8 seconds after you see the lightning?
Answer:
2 2/3 kilometers
Step-by-step explanation:
t = 3y
let t = 8
8 = 3y
Divide each side by 3
8/3 = 3y/3
8/3 = y
2 2/3 kilometers
Answer:
2 2/3 kilometers
Step-by-step explanation:
The souvenir stand sells hats, postcards, and magnets. They have twice as many postcards as hats, and 100 more magnets than postcards.
Let h represent the total number of hats. Write an expression in terms of h for the total number of items they have to sell.
Answer:
4h + 100
Step-by-step explanation:
h = total number of hats
postcards = 2h
magnets = h + 100
Add them all together:
h + 2h + h + 100 = 4h +100
Help me out please thank you ?!!!
Answer:
1) 69 2) 69 3) 60 4) 60 5) 51
Step-by-step explanation:
Triangles have 180 degrees interior and 360 degrees exterior. Knowing this you add all the values within a triangle and subtract it from 180 to find the missing degrees.
For the purple, the green is supplementary which means the other angle will help it equal 180 degrees. the missing green angle is 38. 38+82=120 and 180-120=60. because of vertical angles, angle 2 is 69 and angle 4 is 60. this makes 129 so 180-129=51.
Hope this helps you in some way. if not, sorry i failed you.
Answers
angle 1 = 111 degreesangle 2 = 69 degreesangle 3 = 60 degreesangle 4 = 60 degreesangle 5 = 51 degreesBe sure to use the actual degree symbol instead of typing in "degrees" after each number.
========================================================
Explanation:
To find angle 1, we can use the remote interior angle theorem. The yellow angles you've highlighted (46 and 65) add up to the measure of angle 1, which is an exterior angle. So angle 1 is 46+65 = 111 degrees
The slightly longer method is to make x be the missing angle of the left-most triangle. Solve x+46+65 = 180 to get x = 69 degrees. Then note how angle x and angle 1 are supplementary, meaning x+(angle1) = 180 leads to angle 1 = 111 degrees (because 180-69 = 111)
------------------------
Angle 2 is 69 degrees since angle x = 69, which is a vertical angle to angle 2. Or you could note that angle 1 and angle 2 are supplementary
(angle1)+(angle2) = 180
(111)+(angle2) = 180
angle2 = 180-111
angle 2 = 69 degrees
This method is used to prove the vertical angles theorem is always true.
-------------------------
Angle 3 can be found using the remote interior angle theorem, but we'll be going in reverse this time. Let y be the measure of angle 3
y+82 = 142
y = 142-82
y = 60
angle 3 = 60 degrees
Like with angle 1, there's also a slightly longer method that follows the same idea as before. If you follow this method, you'll need to find the missing piece of the green angle you highlighted (which his 180-142 = 38 degrees), then use the idea that A+B+C = 180 where A,B,C are the three interior angles of any triangle.
---------------------------
Angle 3 and angle 4 are vertical angles, so they are always congruent and angle 4 is also 60 degrees
---------------------------
Let z = measure of angle 5
Focusing on the smaller triangle in the middle, we can say,
(angle2)+(angle4)+(angle5) = 180
(69) + (60) + (z) = 180
z+129 = 180
z = 180-129
z = 51
angle 5 = 51 degrees
A bag contains 8 apples and 6 oranges. You randomly draw a piece of fruit from the bag, eat it, and than randomly draw another. What is the probability you draw and eat an apple than draw an orange?
Answer:
[tex]probability \ of\ choosing\ apple\ first = \frac{8}{14}\\\\probability\ of\ choosing\ orange\ second = \frac{6}{13}\\\\probability \ of \ choosing \ apple \ and \then \ orange = \frac{8}{14} \times\frac{6}{13} = \frac{24}{91}[/tex]
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Answer:
Interesting... go on.
Step-by-step explanation:
What exactly is a root of a logarithmic function again?
Answer:
Root, in mathematics, a solution to an equation, usually expressed as a number or an algebraic formula.
A quantity with an initial value of 510 decays exponentially at a rate of 0.05% every 7
years. What is the value of the quantity after 3.6 decades, to the nearest hundredth?
Answer:
508.69
Step-by-step explanation:
...
Which algebraic expression below represents four multiplied by a number?
A. 4 – x
B. x + 4
C. 4x
D.
Answer:
Step-by-step explanation:
option c is correct
product of two numbers can be written as 4x
Mara drew this net to find the surface area of a triangular prism. Which is the surface area of the triangular prism?
A.312
B.402
C.372
D.492
(Square cm)
Answer:
C.372
Step-by-step explanation:
A prism is a three dimensional shape with two identical shapes facing each other known as bases.
A triangular prism has two triangular bases and three rectangle.
From the net attached:
Area of triangle 1 = area of triangle 2 = (1/2) * base * height = (1/2) * 10 cm * 12 cm = 60 cm²
Area of rectangle 1 = Area of rectangle 2 = length * width = 13 cm * 7 cm = 91 cm²
Area of rectangle 3 = base * height = 10 cm * 7 cm = 70 cm²
Total surface area = Area of triangle 1 + Area of triangle 2 + Area of rectangle 1 + Area of rectangle 2 + Area of rectangle 3
Total surface area = 60 + 60 + 91 + 91 + 70 = 372 cm²
what are some good notes I can use to study for my algebra exam tomorrow?
Answer:
all you need to do is look over your notes continue to partice as much as you can
Step-by-step explanation:
you got this
Find the roots of the Equation 16+x^2=0
Answer:
x = 0 or x = - 16
Step-by-step explanation:
16+x^2=0
x ( x + 16 ) = 0
using the algebra rule a . b = a = 0 and b = 0
x = 0 or x = - 16
so the answer is x = 0 and x = -1 6
Mark brainliest plsssssssssss
The festival sends Dani a map of where people will launch their kites. A portion of the map is shown. How far apart does each kite flyer stand? Round to the nearest foot. Explain please hurry
Answer:
16 ft.
Step-by-step explanation:
Distance Formula:
A = (2,2)
B = (12,14)
So, sqrt(12^2 + 10^2) = 16 ft.
This is the same for B to C.
So, 16 ft.
Mark me as Brainliest if this is correct! I really appreciate it! :D
A person is 89-93 pounds depending on the day, 13 years old, and 5 foot tall. Is this an appropriate weight?
Answer:
I don't think so cause average in my town is 100 to 109
Answer:
I don't think so
Step-by-step explanation:
¯\_(ツ)_/ i can't tell you
Factor problems 9 - 12 by using the difference of squares method.
12. x2 + 100
A. (x + 10)(x – 10)
B. (-x + 10)(x – 10)
C. (x + 10)(x + 10)
D. This polynomial cannot be factored by using the difference of squares method.
E. (x - 10)(x – 10)
F. (-x + 10)(-x – 10)
find the area of a triangle with vertices A(1,4)B(1,7),C(4,7)
9/2 Sq. units is a Right answer...
Answer:
4.5 units²Step-by-step explanation:
Given ΔABC with vertices:
A(1,4), B(1,7), C(4,7)We observe that
AB is vertical segment with length:
7 - 4 = 3 unitsBC is horizontal segment with length:
4 - 1 = 3 unitsThe area:
A = 1/2bhA = 1/2(3)(3) = 9/2 = 4.5 units²Find X in the given figures.
HELP ME PLEASE! ×∆×
Applying the Pythagorean theorem, solve this triangle.
Answer:
The length of the hypotenuse is the square root of 169, which in turn is 13.
Step-by-step explanation:
Here we have a right triangle with leg lengths 12 m and 5 m. Because this is a right triangle, we can apply the Pythagorean Theorem to find the length of the hypotenuse.
The Theorem states that a^2 + b^2 = c^2. In this particular case,
(12 m)^2 + (5 m)^2 = c^2
which in turn becomes:
144 + 25 = 169. The length of the hypotenuse is the square root of 169, which in turn is 13.
someone please help me!!!!!!
Answer:
169×5=845
Step-by-step explanation:
ok now mark me brainlist
Which of the following is equal to tan O using coordinates on the unit circle?
A) y/x
B) y
C) x/y
D) x
Answer:
A) y/x
Step-by-step explanation:
_____________________
Hellppp pleaseee
Please be quick lol
Answer:
20(pi)
Step-by-step explanation:
• equation for the circumference of a circle= 2(pi)r
• You are given the diameter ( 20ft) but you need the radius (r) for the equation.
• divide 20 by 2 to get the radius since it is half of the diameter.
• 20/2=10 so c= 2(pi)(10)
• 2(10)=20
• plug in pi and your final answer is 20(pi)
What number makes the equation true?
simplify cos(2x)/ cos(x)-sin(x)
The value of the trigonometric expression cos(2x)/ [cos(x)-sin(x)] will be cos(x) + sin(x) thus option (C) is correct.
What is a trigonometric function?The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.
The trigonometric functions found in the four quadrants, as well as their graphs, domains, and differentiation and integration, will all be understood.
As per the given,
cos(2x)/ [cos(x)-sin(x)]
Since, cosx = cos²x - sin²x
cos(2x)/ [cos(x)-sin(x)] = (cos²x - sin²x)/[cos(x)-sin(x)]
Since, A² - B² = (A + B)(A - B)
(cos²x - sin²x)/[cos(x)-sin(x)] = [cos(x)+sin(x))(cos(x)-sin(x)]/[(cos(x)-sin(x))]
⇒cos(x) + sin(x)
Hence "Trigonometric expression cos(2x)/[cos(x)-sin(x)] value will be sin(x) + cos(x)".
For more information about the trigonometric function,
https://brainly.com/question/14746686
#SPJ2
What is the missing term?
Answer:
Missing term = 6x
Step-by-step explanation:
We got:
=> 4x by multiplying +4 and x (x * 4 = 4x)
=> 12 by multiplying +4 and +3 (4 * 3 = 12)
=> 2x² by multiplying 2x and x (2x * x = 2x²)
Similarly we will get the "missing term" by multiplying 2x and +3
=> Missing term = 6x, (2x * 3 = 6x)
Hope this helps!
find the square root of 3 upon 5 upto 2 decimal places
Answer:
Square root of 3 upon 5:
√3÷5
= 0.3464101615137
≈ 0.35 (corrected to 2 decimal places)
plis help me answer this question plis also give expolaniaton
Answer:
Option c and d is right.
Step-by-step explanation:
CHECK BY MULTIPLYING THEM.
Answer:
Answer C and D are correct.
Step-by-step explanation:
In c, 2m + m=3m, and then adding the 2 leaves you with 3m+2.
In d, m+m+m=3m, and then again you add the two.
easy algebra question below first correct answer gets brainliest
If these two triangular puzzle pieces are to be made congruent, what must be the measure of angle z?
Answer:
116
Step-by-step explanation:
180-28=152
152-36=116
Carter wants to cover his bedroom window with a piece of plywood to prepare for an upcoming storm. The window measures 4 1/2 feet tall and 2 1/4 feet wide. Find the area of the window.
fast please
Answer:
Step-by-step explanation:
Basically you turn 1/2 into fourths, 1/2 = 2/4
After that you would multiply 4 2/4 x 2 1/4
Then you get 10.125 turned into a fraction is 81/8
can y’all help me i’m taking a test
Answer:
Over time, the function is DECREASING. Cho ran at a faster rate during segment K.
Step-by-step explanation:
Simplify the expression. Write your answer in positive exponent form:
(1/4) ^3 x (1/4) ^7
Answer:
1/4¹⁰
Step-by-step explanation:
this is the the simplified version for the question