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Answers
Answer:
x = 10, x = 124
Step-by-step explanation:
(5)
Since Δ JKL is isosceles then the base angles are congruent, that is
∠ LJK = ∠ LJG = 80° , thus
∠ JLK = 180 - (80 + 80) = 180 - 160 = 20
x = 20 ÷ 2 = 10
(6)
Since Δ PQR is equilateral, then each of its angles = 60°
∠QRS = 60° - 32° = 28°
Since Δ SQR is isosceles then base angles are congruent, then
∠ SQR = ∠ QRS = 28 , thus
x = 180 - (28 + 28) = 180 - 56 = 124
answer :
x = 10, x = 124
Related Questions
HELPPPP.
Suppose a bird is 500 feet above the ground. It descends at a steady rate. After 10 seconds, it is 250 feet above the ground.
a) Write an equation that gives the height of the bird as a function of time. Be sure to define your variables!
b) After how many seconds will the bird land on the ground?
Answers
Answer:
500-10x=250
x=how much the bird descended in a second
the bird will land on the ground in another 10 seconds.
Step-by-step explanation:
the bird will land on the ground in 10 seconds since it descended 250 ft in 10 seconds so that is 25 ft per second. then do 250/25 and you get 10. that is how you know the bird will land on the ground in 10 seconds.
Answer:
a) [tex]h(t)=500-25t[/tex]
b) [tex]t=20[/tex]
Step-by-step explanation:
a)
Let [tex]h[/tex] = height above ground
Let [tex]t[/tex] = time
Because the bird descended down to 250 feet in 10 seconds with a steady rate, that means it descends 25 feet per second.
∴ [tex]h(t) = 500-25t[/tex]
b)
To find the time it takes until the bird reaches the ground, [tex]h[/tex] must equal [tex]0[/tex]:
[tex]0=500-25t[/tex]
[tex]25t=500[/tex]
[tex]t=20[/tex]
∴ It takes 20 seconds for the bird to reach the ground.
Two lines, A and B, are graphed (Look at the picture):
Determine the solution and the reasoning that justifies the solution to the systems of equations.
a.(−4, 6), because both the equations are true for this point
b.(2, 8), because the graph of the two equations intersects at this point
c.(2, 8), because neither of the two equations is true for this coordinate point
d.(−4, 6), because the graph of the two equations intersects the axis at these points
Answers
Answer:
B. (2,8), because both equations intersect at this point
Answer:
B. (2,8), because both equations intersect at this point
Step-by-step explanation:
Why is it answer B? Because of Enlarging the graph, we find that the intersection of the two lines drawn is at point (2,8). Hence, the solution of the equation is (2,8) because the graphs of the two lines intersect at this point.
Solve 2y - 14 = -8 for y
Answers
Answer: y = 3
Step-by-step explanation:
2y - 14 = -8
2y - 14 + 14 = -8 + 14
2y = 6
y = 3
The number of sticks of gum varies directly as the number of packages. There are 36 sticks of gum in 2 packages. Suppose you have 5 packages of gum. Write and solve a direct variation equation to determine how many sticks you have
Answers
Answer:
36 x 2 = 72
36 divide by 2 = 18
72+18=90
90 is the answer
Step-by-step explanation:
If f(x)=x2-1, what is f(4)?
Answers
4^2-1
16-1
Answer
15
Answer: 15
Step-by-step explanation:
Substitute 4 in x.
A construction crew has repaired 1.37 miles of a highway. The total length of the highway to be repaired is 7.9. How many miles are left to be repaired?
Answers
Answer:
Part A: m+1.37=7.9
Part B: 6.53 miles are left to be repaired.
Step-by-step explanation:
Given,
Length of repaired part = 1.37 miles
Total length to be repaired = 7.9 miles
Miles left to be repaired = m
Part A:
Create an equation to show the relationship between the number of miles repaired and the number of miles left to be repaired, m.
Miles left to be repaired + Length of repaired part = Total length to be repaired
m+1.37=7.9
Part B
How many miles are left to be repaired?
Subtracting 1.37 from both sides
6.53 miles are left to be repaired.
Keywords: length, subtraction
Step-by-step explanation:
**PLEASE HELP I NEED IT WITHIN 20 MINUTES**
These are Trig Ratios and you can read the instructions to solve question 15 & 16 (if you can please show the work it would be greatly appreciated)
Answers
In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions[1][2]) are real functions which relate an angle of a right-angled triangle to ratios of two side lengths. They are widely used in all sciences that are related to geometry, such as navigation, solid mechanics, celestial mechanics, geodesy, and many others. They are among the simplest periodic functions, and as such are also widely used for studying periodic phenomena, through Fourier analysis.
Basis of trigonometry: if two right triangles have equal acute angles, they are similar, so their side lengths are proportional. Proportionality constants are written within the image: sin θ, cos θ, tan θ, where θ is the common measure of five acute angles.
The trigonometric functions most widely used in modern mathematics are the sine, the cosine, and the tangent. Their reciprocals are respectively the cosecant, the secant, and the cotangent, which are less used. Each of these six trigonometric functions has a corresponding inverse function (called inverse trigonometric function), and an equivalent in the hyperbolic functions as well.[3]
The oldest definitions of trigonometric functions, related to right-angle triangles, define them only for acute angles. To extending these definitions to functions whose domain is the whole projectively extended real line, geometrical definitions using the standard unit circle (i.e., a circle with radius 1 unit) is often used. Modern definitions express trigonometric functions as infinite series or as solutions of differential equations. This allows extending the domain of sine and cosine functions to the whole complex plane, and the domain of the other trigonometric functions to the complex plane (from which some isolated points are removed).
Contents
Right-angled triangle definitions Edit
A right triangle always includes a 90° (π/2 radians) angle, here labeled C. Angles A and B may vary. Trigonometric functions specify the relationships among side lengths and interior angles of a right triangle.
Plot of the six trigonometric functions, the unit circle, and a line for the angle θ = 0.7 radians. The points labelled 1, Sec(θ), Csc(θ) represent the length of the line segment from the origin to that point. Sin(θ), Tan(θ), and 1 are the heights to the line starting from the x-axis, while Cos(θ), 1, and Cot(θ) are lengths along the x-axis starting from the origin.
In this section, the same upper-case letter denotes a vertex of a triangle and the measure of the corresponding angle; the same lower case letter denotes an edge of the triangle and its length.
Given an acute angle A = θ of a right-angled triangle, the hypotenuse h is the side that connects the two acute angles. The side b adjacent to θ is the side of the triangle that connects θ to the right angle. The third side a is said to be opposite to θ.
If the angle θ is given, then all sides of the right-angled triangle are well-defined up to a scaling factor. This means that the ratio of any two side lengths depends only on θ. Thus these six ratios define six functions of θ, which are the trigonometric functions. More precisely, the six trigonometric functions are:[4][5]
sine
{\
Make t the subject of the formula
Answers
t = (3m -1) / (m - 1)
What is subject of formula?The subject of a formula is the variable that is being worked out. It can be recognized as the letter on its own on one side of the equals sign.
In order to change the subject of a formula, or rearrange a formula, items in the formula need to be rearranged so a different variable is the subject. Knowledge of solving equations and inverse operations is very useful.
Given formula.
m = t + 1 / t - 3
m ( t - 3) = t - 1
mt - 3m = t - 1
mt - t = 3m - 1
t(m - 1) = (3m - 1)
t = (3m -1) / (m - 1)
Hence, the formula becomes t = (3m -1) / (m - 1).
Learn more about subject of formula here:
https://brainly.com/question/29064960
#SPJ2
again i need some help with this :D
Answers
Answer:
v + u - 4
Step-by-step explanation:
At the beginning of a baking session, there were 2.26 kilograms of flour in the bag. By the end of the baking session, there was 0.98 kilogram of flour in the bag. What is the percent of decrease in the amount of flour? Round the percent to the nearest tenth if necessary.
Answers
Answer:
The answer I got was 56.6%.
what is the half way point for 20000 and 30000
Answers
Can someone help me please
Answers
Answer:
a. angle 6 and angle 7
b. angle 6 and angle 8
c. angle 3 and angle 1
Step-by-step explanation:
linear pair is two angles that share a base and and add up to 180
vertical angles is the pair of opposite angles formed by two intersecting lines
congruent is the same measure
Answer:
see explanation
Step-by-step explanation:
(a)
A linear pair of angles, are adjacent to each other and sum to 180°
There are 8 linear pairs in the diagram, they are
1 and 2 / 2 and 3 / 3 and 4 / 4 and 1 / 5 and 6 / 6 and 7 / 7 and 8 / 8 and 5
(b)
There are 4 vertical angles in the diagram
1 and 3 / 2 and 4 / 5 and 7 / 6 and 8
Note that vertical angles are congruent
Other congruent angles are
2 and 6 / 3 and 7 / 1 and 5 / 4 and 8 ( All corresponding angles )
4 and 6 / 3 and 5 ( are Alternate angles )
A pet store has 8 dogs, 12 turtle, and 3 cats. Write a ratio for each of the following situations.
Turtles to dogs and cats:
dogs to turtles
Answers
Answer:
Turtles to dogs and cats: 12,8,3
dogs to turtles: 8,12
egadar amd fred share cupcakes in the ratio 3:1 if edgar gets 9 cakes how many does fred get(pleez someone anwer my question
Answers
Answer:
3
Explanation:
For every 3 cupcakes that Edgar gets, Fred gets 1. So, if Edgar gets 9, Fred gets 3.
Bus A and Bus B leave the bus depot at 2 pm.
Bus A takes 15 minutes to complete its route once and bus B takes 25 minutes to complete its
route once.
If both buses continue to repeat their route, at what time will they be back at the bus depot
together?
Assume the buses have no breaks in between routes.
Give your answer as a 12-hour clock time.
Answers
Answer:
LCM(30, 35) = 210 minutes.
The 2 Buses will be back at the depot 210 minutes after 5pm, or 5pm + 210 minutes =5 + 3.5 hours =8:30pm
Answer:
4:30 PM
Step-by-step explanation:
Bus A will meet Bus B on it's 10th route at 150 min. Bus B will meet Bus A at its 6th route at 150 min. 150 is also 2 hours and 30 min so they will meet at 4:30 PM.
Solve the following
equation:
8x – 4(x + 8) = 8
Answers
Answer:
[tex]\huge\boxed{\sf x = 10}[/tex]
Step-by-step explanation:
[tex]\sf 8x-4(x+8) = 8\\\\Expanding \ Parenthesis\\\\8x-4x-32 = 8\\\\4x -32 = 8\\\\Adding \ 32\ to \ both \ sides \\\\4x = 8+32\\\\4x = 40\\\\Dividing \ both \ sides \ by \ 4\\\\\boxed{\sf x = 10}\\\\\rule[225]{224}{2}[/tex]
Hope this helped!
~AnonymousHelper18071.15÷0.23=? pls answer guys
Answers
Answer:
5
Step-by-step explanation: I used a calculator
what is v=1/3Ah solving for A
Answers
Answer:
A=3V/h
That is the answer for solving for A
The table shows the number of coins Kaitlyn has.
penny
4
nickel
9
dime
3
quarter
5
Write the ratio of dimes to all coins that Kaitlyn has as a
fraction in simplest form.
Answers
explanation: she has 3 dimes so that is the numerator. add up all the total coins she has to get 21 for the denominator. you get 3/21. to simplify, divide both numerator and denominator by the common factor 3.
don’t know if it’s 100% correct but hoped it helped in some way! :)
Given m∥n, find the value of x and y.
Answers
Answer:
x=15
y=63
Step-by-step explanation:
PLEASE HELP An algebraic ___ is a mathematical phrase
With numbers, variables, operations for days.
is it coefficient , expression or evaluate
Answers
Hope this helps :)
Answer:
Expression
Step-by-step explanation:
The definition of an Algebraic Expression is this:
Algebra is an interesting and enjoyable branch of mathematics in which numbers, shapes, and letters are used to express problems.
It can not be an Algebraic Equation because that only includes one variable.
I Hope That This Helps! :)
Given the sum of the interior angles of a polygon, tell the number of sides of the polygon.
If the interior angle sum is 360°, the polygon has _
sides.
If the interior angle sum is 540°, the polygon has _
sides.
If the interior angle sum is 900°, the polygon has _
sides.
If the interior angle sum is 1260°, the polygon has _
sides.
Answers
Answer:
[tex] \underline{the \: sides \: are} \: \to \\ \underline{ \boxed{ n= 4}} \\ \: \underline{ \boxed{ n= 5}} \\ \:\underline{ \boxed{ n= 7}} \\ \: \underline{ \boxed{ n= 9}} \\ \: [/tex]
Step-by-step explanation:
[tex] \\ the \: sum \:o f \: the\: interior \: angles \: of \: aregular \: polygon \: \\ is \: generaly \: given \: by \to \: 180(n - 2)\\ \underline{ \boxed {case \:( 1) \to}} \\ If \: the \: interior \: angle \: sum \: is \: 360°, \\ then : \: the \: polygon \: has \to \: \\ 180(n - 2) = 360 \\ n - 2 = 2 \\ \underline{ \boxed{ n= 4}} \\ \: \underline{ \boxed {case \:( 2) \to}} \\ If \: the \: interior \: angle \: sum \: is \: 540°, \\ then : \: the \: polygon \: has \to \: \\ 180(n - 2) = 540 \\ n - 2 = 3 \\ \underline{ \boxed{ n= 5}} \\ \: \underline{ \boxed {case \:( 3) \to}} \\ If \: the \: interior \: angle \: sum \: is \: 900°, \\ then : \: the \: polygon \: has \to \: \\ 180(n - 2) = 900 \\ n - 2 = 5 \\ \underline{ \boxed{ n= 7}} \\ \: \underline{ \boxed {case \:(final ) \to}} \\ If \: the \: interior \: angle \: sum \: is \: 1260°, \\ then : \: the \: polygon \: has \to \: \\ 180(n - 2) = 1260 \\ n - 2 = 7\\ \underline{ \boxed{ n= 9}} \\ \: [/tex]
♨Rage♨
Answer:
4,5,7,9
Step-by-step explanation:
Got it right on edge
Kurt spots a bird sitting at the top of a 40 foot tall telephone pole. If the angle of elevation from the ground where he is standing to the bird is 59 ° , how far is Kurt standing from the base of the pole?
Answers
Answer:
i guess its 24.03 ft
Step-by-step explanation:
let height of pole be perpendicular length and distance from pole be the base .so tan59=P/b..& b= 24.03ft
The original price for the sweater is $80. Today it is on sale for 30% off. What is the sale price for the sweater?
Answers
Answer:
56
Step-by-step explanation:
30 percent of 80 is 24, subtract
Answer:
56
Step-by-step explanation:
8 x .7=56
you get .7 by subtracting the 30 percent or .3 from the original price
PLEASE HELP ASAP VERY IMPORTANT I WILL DO ANYTHING THNK YOU SO MUCH ITS MY BDAY TMRW TOO
Answers
Answer:
i dont have the answers i just wanted to say happy b day
Step-by-step explanation:
The points (2.1, -4.2) and (2.5, -5) form
a proportional relationship. What is the slope of
the line that passes through these two points?
Answers
Answer:
m = -2
Step-by-step explanation:
hsavajgsbjxxhisbvzjxb
The slope of the line that passes through the points (2.1, -4.2) and (2.5, -5) that form a proportional relationship is: -2.
Recall:
The slope (m) of a line can be calculated using the formula:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Given the points that a line passes through are:(2.1, -4.2) and (2.5, -5)
To calculate the slope of the line that passes through both points, let,[tex](2.1, -4.2) = (x_1, y_1)\\\\(2.5, -5) = (x_2, y_2)[/tex]
Plug in the values into the formula:Slope (m) = [tex]\frac{-5 -(-4.2)}{2.5 - 2.1} = \frac{-0.8}{0.4} = -2[/tex]
Therefore, the slope of the line that passes through the points (2.1, -4.2) and (2.5, -5) that form a proportional relationship is: -2.
Learn more here:
https://brainly.com/question/18047340
Which phrase correctly describes the expression 4 × 3 – 1?
A.
One minus the product of four and three
B.
One less than the product of four and three
C.
One less than the sum of four and three
D.
Four times the difference of three and one
Answers
Choose the correct pair of expressions to complete the solution of sin r +
37
2
2.
O COS X, 0
O -sin x,-1
O sin x,-1
O-COS X, 0
Answers
Answer:
sin x, –1
Step-by-step explanation:
did on edge
A recipe for 4 cups of trail mix calls for 2··3cup of raisins. Aniyah has 1 1··2cups of raisins. Does Aniyah have enough raisins to make 14 cups of the trail mix? If not, how many more cups of raisins does Aniyah need?
Answers
Answer:
Aniyah does not have enough for 14 cups, and needs 1 1/6 more.
Using the required arithmetic concept, we can conclude that Aniya needs 7/6 more cups.
Representing the problem thus:
4 cups of trail = 2/3 cups of raisins
14 cups of trails = x
Cross multiply
4x = (2/3) × 14
4x = 28/3
x = (28/3) ÷ 4
x = (28/3) × (1/4)
x = 7/3
Cups of raisins Aniya has = 1 1/2 = 3/2
Extra cups needed = 7/3 - 3/2 = 7/6 cups
Therefore, Aniya does not have enough, she needs 7/6 more cups.
Learn more : https://brainly.com/question/18998711
What is the slope of the line (-3,0) and (0,-4)
Answers
Explanation:
You would use the slope formula
y2-y1/x2-x1
-4-0/0-(-3)
-4/3