Determine x,y, and z.
80°
100°
55°
60°
The measure ofx is
The measure of y is
The measure of z is
Answer:
Step-by-step explanation:
You can get y and x immediately. z is a bit tricky.
x
The other two angles of a triangle containing x are 100 and 60.
x + 100 + 60 = 180 Add the two terms on the left
x + 160 = 180 Subtract 160 from 180
x = 180 - 160 Combine the right
x = 20
y
y is done exactly the same way.
55 + 80 + y = 180
135 + y = 180
y = 180 - 135
y = 45
z
You have x y and z all in the same triangle. You know x and y so z can be found in much the same way.
x + y + z = 180
20 + 45 + z = 180
65 + z = 180
z = 180 - 65
z = 115
Answer: x = 20
y = 45
z = 115
Step-by-step explanation:
There is one unknown variable in both triangles with known angles. To find the values of x, y, and z, add both the known angles and subract it from 180 degrees. The result will be the value of the variable. When you have both the values of x and y, do the same math to find the value of z.
Step 1: Find the value of x
Add the values of the two known angles in this traingle and subtract it from 180°
80 + 55 = 135
180 - 135 = 45
45° is the value of x
Step 2: Find the value of y
Add the values of the two known angles in this traingle and subtract it from 180°
100 + 60 = 160
180 - 160 = 20
20° is the value of y
Step 3: Find the values of z
Add the values of x and y and subtract it from 180°
45 + 20 = 65
180 - 65 = 115
115° is the value of z
PLA ANSWER I DONT KNOW THIS
Answer:
x=45
Step-by-step explanation:
I can give you two solutions
First solution:
In [tex]\triangle FBA[/tex] we know that
[tex]\angle BFA + \angle FAB + \angle ABF=180\\\\90+x+\angle ABF =180\\\\\angle ABF =90-x[/tex]
same case for [tex]\angle EBC[/tex] in [tex]\triangle ECB[/tex]
so we have that
[tex]\angle ABC = \angle ABF + \angle FBE +\angle EBC\\\\\angle ABC = 90-x+45+90-x\\\\\angle ABC = 180+45-2x[/tex]
we leave it like that because it's convenient
Now by properties of parallelograms we know that opposite sides add up to 180
[tex]\angle FAB + \angle ABC = 180\\\\x+180+45-2x=180\\\\x+45-2x=0\\\\45-x=0\\\\x=45[/tex]
so one angle is 45 and the other one is 135
Solution 2
if we look at DEBF we can say that it's a cyclic quadrilateral
because opposite sides add up to 180
in our case
[tex]\angle DFB = 180 -\angle BFA = 180-90 = 90\\\\\angle DEB = 90\\\\\Rightarrow \angle DFB + \angle DEB = 180\\\\[/tex]
so for the other to angles is also true
[tex]\angle FDE + \angle EBF = 180\\\\\angle FDE +45 = 180\\\\\angle FDE = 135[/tex]
so that's the measure of one angle of the parallelogram
the other angle x is
[tex]\angle EDF + \angle FAB = 180\\\\135+x=180\\\\x=45[/tex]
There you go choose yourself
Can I plz get the congruence and reason plz
Congruence is when there are 2 objects that have the same shape and size, or they "mirror" each other.
Question 6:
Congruence:
Yes, these two objects are congruent.
Reason:
They are congruent, because they have the same size and shape, or that they "mirror" each other.
Question 7:
Congruence:
Yes there is congruence, here. These two objects are similar shapes, but not completely congruent.
Reason:
These two objects have the same size, but not the exact same shape. If you look at point B you can see that the two angles are different, which means that they are similar shapes, but not completely congruent.
Hope this helps! :)
HELPPPPPPP plesssss two part question. the question is on the picture
what is it???????????
Answer:
4/5
Step-by-step explanation:
The rise is 4, and the run is 5. The rise comes first, so the answer is 4/5. The line is positive.
Answer:
slope = 4/5
Step-by-step explanation:
The best way to find the slope with just a line is to pick the most direct points on the graph, meaning points that are not in between numbers but right on the graph lines
y value - y value over x value - x value
Points: (-2,0) and (3,4)
4-0 = 4
3-(-2) = 5
4/5
Which of the following inequalities orders the numbers
0.2, 0.03, and 1/4 from least to greatest?
Answer:
0.03, 0.2, 1/4
Explanation:
The inequalities orders the numbers from least to greatest numbers will be 0.03 < 0.2 < 0.25.
What is ascending order?It is the order of the numbers in which a smaller number comes first and then followed by the next number and then the last number will be the biggest one.
The numbers are given below.
0.2, 0.03, and 1/4
Convert all the numbers into fraction numbers.
0.2, 0.03, and 0.25
Then the inequalities orders the numbers from least to greatest numbers will be
0.03 < 0.2 < 0.25
The inequalities orders the numbers from least to greatest numbers will be 0.03 < 0.2 < 0.25.
More about the ascending order link is given below.
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PLEASE HELP ASAP !!!!!!!!!!!!!!!!!!!
The variables x and y vary directly. Use the values to write an equation that relates x and y. y=2 ; x=10
Answer:
20=y*x = 2*10=20
Step-by-step explanation:
If this is what you are asking for here q-q
simplify 4p^5q^3*p^2^-4
24p+7q
-----------
12
Answer:
[tex]4p^{5q^{3} -2}[/tex]
Step-by-step explanation:
The base would stay the same as nothing is being multiplied.
PLEASE HELP 20 POINTS!!!!!!!
What number is the next term in the number pattern? 2/5, 3/10, 6/15, 11/20, …
18/25
14/20
18/20
14/25
Answer:
18/25
Step-by-step explanation:
i dont have an explanation
There are 80 pupils in a school. If 32 are boys, what percentage are boys?
Answer:
40%
Step-by-step explanation:
32/80=.4
Answer:
40%
Step-by-step explanation:
32÷80=.4×100=40%
8x+2 factored useing the gcf.
Answer:2 ( 4 + 1 )
Step-by-step explanation:
The sum of 10 and Hector's age is 69 . Use the variable H to represent Hector's age.
Answer:
59? Is it H = 59?
Will give crown help
Answer:
5,1,-3,-7
Step-by-step explanation:
y=-4x+1
if x is -1,
-4(-1)+1 or 4+1 or 5.
Following,
5,1,-3,-7
Hope this helps plz hit the crown :D
Part A: A graph passes through the points (0, 2), (2, 6), and (3, 12). Does this graph represent a linear function or a non-linear function? Explain your answer in words.
Part B: Write one example of a linear function and one example of a non-linear function. (Use x and y as the variables) (10 points)
Answer:
Im doing the same quesiton for flvs and dont know
Step-by-step explanation:
Answer:
what school do u do
Step-by-step explanation:
what is the circumference of a circle that has a radius of 14?
I need this by today plz answer...
Answer:
C≈87.96
r Radius 14
The sum of three numbers is 45. The second of the three numbers is three more than twice the first number, x. The
third number is two more than the first number, x. Which equation can be used to solve for the first number, X?
Ox+ 5x + x + 2 = 45
O x + x + 3 + x + 2 = 45
O x + 3x + 2 + x + 2 = 45
O x + 2x + 3+x+ 2 = 45
The option D is correct
O A. Belonging to a particular region or place
11x + 18 = 172 not a test i need the right awnser
Answer:
x=14
Step-by-step explanation:
11x+18=172, subtract 17 from both sides, 11x=154, divide 11 from both sides, x=14
Solve
Log(x-1)+log(2)=7
Answer:
x is 6 i believeee if you're solving for x!!
Step-by-step explanation:
Answer:
x = 1 + 0.5 * 10^7
Step-by-step explanation:
Use log(a) + log(b) = log(ab).
log(x-1) + log(2) = 7 <=> log(2(x-1)) = 7 <=> log(2x-2) = 7
Using log(a) = b <=> a = 10^b
log(2x-2) = 7 <=> 2x-2 = 10^7 <=> 2x = 2 + 10^7 <=> x = 1 + 0.5 * 10^7
helppppppppppppppppppppppppppppppppppppp
Answer:
Step-by-step explanation:
A and C
What is the area of ΔXYZ below?
Select the best answer from the choices provided. A. 9√3 4 B. 9√3 3 C. 9√3 2 D. 9√3
Step-by-step explanation:
We need to find the height of the triangle first.
Height=>sin(60°)=h/3 but sin(60°)=√3/2
h=3×√3/2=3√3/2
Area=½×base×height
A=½×3×3√3/2
A=9√3/4
Answer is option A
What is the slope of the line that passes through the points (4, -6) and (4, 6)?
Answer:
no slope
Step-by-step explanation:
m= y2-y1/x2-x1
m= 6-(-6)/4-4
m=12/0
m= no slope
A triangle has sides of length 2 cm, 8 cm and 9 cm.
Calculate the value of the largest angle in this triangle.
:)
Answer:
113.97 degrees
Step-by-step explanation:
use the cosine rule for finding an angle
cosA = b^2 + c^2 - a^2
2bc
In the given triangle angle A is greatest than any other angle.
What is the triangle?A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.
Given sides of triangle, a=2cm,b=8cm,c=9cm
cosine law
Cos A = [tex]\frac{-a^2 + b^2 + c^2}{ 2bc}[/tex] = [tex]\frac{64 + 81 - 4 }{2 * 8 *9}[/tex] = 141/ 144
Cos B = [tex]\frac{a^2 - b^2 + c^2}{ 2ac}[/tex] = [tex]\frac{4 + 81 - 64}{2 * 2 *9}[/tex] = 21/36
Cos C = [tex]\frac{a^2 + b^2 - c^2}{ 2ab}[/tex] = [tex]\frac{4 + 64 -81}{2 * 2* 8}[/tex] = -13/52
A = Cos⁻¹ (141 /144 )
B = Cos⁻¹ (21/ 36 )
C = Cos⁻¹ (-13/52 )
Thus Angle A < Angle B < Angle C.
Therefore, Angle A is the greatest in the triangle.
Learn more about triangles here:
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You spent $24 more than Pam. If you spent $82, how much money did Pam spend? Write and solve an equation.
Answer:
$58
Step-by-step explanation:
Answer:
58
Step-by-step explanation:
82-24=58
What is the value of the x variable in the solution to the following system of equations? (1 point)
4x + 2y = 12
x − y = 3
0
−3
3
2
Answer:
-3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
4x + 2y = 12
x − y = 3
Make it able to cancel the variable y.
x*2 − y*2 = 3*2
2x − 2y = 6
Add the equations together now that y can be canceled out. Add each like term of the separate equations together.
4x + 2y = 12
+ 2x − 2y = 6
6x + 0 = 18
6x = 18
6 6
x = 3
I hope this helps!
Help needed! Will mark brainliest!!
Directions; Write a system of equations for each of the descriptions below, and then solve the systems. Hint: you can graph the equations to find the solutions.
There are two numbers. The difference between them equals six, and one of the numbers is three times the other number. There are two pairs of numbers that satisfy these descriptions, What are they?
Answer:
3
Step-by-step explanation:
let the other number be x
3x-x=6
2x=6
x=6÷2
x=3
therefore the numbers are 9&3
answer:
3x - x = 6, y = 3x → Pair 1: 3 and 9, Pair 2: 9 and 3
i hope this helps!! ♡
What is the length of the hypotenuse? 1. 52 + 122 =c2 2. 25 + 144 =c2 3. 169=c2 c=
Answer:
Step-by-step explanation:
In order to solve this question we need to know that [tex]a^{2} + b^{2} = c^{2}[/tex] (were a and b are the legs of a right angle triangle and c is the hypotenuse). Now since we are given [tex]a^{2}[/tex] and [tex]b^{2}[/tex],we can solve for hypotenuse in each case. So we do......
1) 52 + 122 = [tex]c^{2}[/tex]
174 = [tex]c^{2}[/tex]
[tex]\sqrt{174} =c[/tex]
13.190905 ≈ c
2) 25 + 144 = [tex]c^{2}[/tex]
169 = [tex]c^{2}[/tex]
[tex]\sqrt{169} = c[/tex]
[tex]13 = c[/tex]
3) 169 = [tex]c^{2}[/tex]
[tex]\sqrt{169} = c[/tex]
[tex]13 = c[/tex]
Hope this helps :)
The length of the hypotenuse 13 units.
What is a hypotenuse?A hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle.
Given that, A right triangle has side lengths 5 inches and 12 inches.
Using Pythagoras theorem,
h = √5²+12²
h = √25+144
h = √169
h = 13
Hence, the length of the hypotenuse 13 units.
For more references on hypotenuse, click;
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Natural gas high amounts of energy when burned and produces less air pollution than other fossil fuels.
true or false??
A cookie factory uses 5/6 of a barrel of oatmeal in each batch of cookies. The factory used 6 2/3 barrels of oatmeal yesterday. How many batches of cookies did the factory make?
Write your answer as a fraction or as a whole or mixed number.
Answer:
8 batches
Step-by-step explanation:
6 2/3= 6 4/6 =40/6
40/6 divided by 5/6= 8
A child has 60 total coins. There are ten times as many nickels as there are quarters (q) and twelve more dimes than quarters. Write an equation to represent this situation
Answer:
10q+q+(12+q)=60
Find the GCF (30,45)
Hey there! I'm happy to help!
The Greatest Common Factor is self-explanatory: it is the largest factor that both numbers have in common. Let's look at the factors of each of these numbers:
30: 1, 30, 2, 15, 3, 10, 5, 6
45: 1, 45, 3, 15, 5, 9
We see that the largest number they both have in common is 15, so the GCF is 15.
Have a wonderful day! :D