Please help.. Answer number 34 and 35. For number 34 find the measures of the numbered angles in each isosceles trapezoid. For number 35 find the measures of the numbered angles in each kite.
Answers
Answer:
33. m∠1 = 135°, ∠3 = 45°, ∠2 = 135°
34. m∠1 = 80°, m∠2 = 100°, m∠3 = 100°
35. m∠1 = 90°, m∠2 = 25°
Step-by-step explanation:
33. The given parameters of the isosceles trapezoid are;
The measure of one of the base angles = 45°
For an isosceles trapezoid, the base angles are equal, therefore, we have;
The measure of the other base angle = m∠3 = 45°
Similarly, m∠1 = m∠2
Also, we have;
The sum of the interior angles in a trapezoid = The sum of the interior angles in a quadrilateral = 360°
∴ 45° + m∠3 + m∠1 + m∠2 = 360°
By substituting the known values, we have;
45° + 45° + m∠1 + m∠2 = 360°
From m∠1 = m∠2, we have;
45° + 45° + m∠1 + m∠1 = 90° + 2·m∠1 = 360°
2·m∠1 = 360° - 90° = 270°
∴ m∠1 = 270°/2 = 135°
m∠1 = 135° = m∠2
Therefore, we have;
∠3 = 45°, ∠1 = 135°, ∠2 = 135°
34. The measure of the base angles = 80°
∴ The measure of the other base angle = m∠1 = 80°
m∠2 = m∠3
80° + m∠1 + m∠2 + m∠3 = 360°
∴ 80° + 80° + 2·m∠2 = 360°
m∠2 = (360° - (80° + 80°))/2 = 100°
m∠2 = 100° = m∠3
35. The kite comprises of two half isosceles triangles
The base angles of the right half isosceles triangle = 65°
The angle formed by the diagonals of the kite = 90° (Perpendicular diagonals theorem)
Therefore, m∠1 = 90°
The diagonals bisect the angles at the vertices (Kite theorem)
Therefore, we have;
65° + 90° + m∠2 = 180°
m∠2 = 180° - (65° + 90°) = 25°
m∠2 = 25°.
Related Questions
x + 3 = 15
Solve the equation and check for the solution
Answers
Answer:
x=12
Step-by-step explanation:
move the 3 to the other side to get x by itself.
check: 12 + 3 = 15
Answer:
(Not sure)
x = 12
Step-by-step explanation:
x + 3 = 15
CLT
X = 15-3
× = 12
Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $3,047
was collected on the sale of 1,291 tickets. How many of each type of ticket were sold?
The basketball game sold
adult tickets and
student tickets.
Answers
Answer:
The basketball game sold 439 adult tickets and 858 student tickets.
Step-by-step explanation:
A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.
Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is, in the systems of equations, one must look for the values of the unknowns, with which when replacing, they must give the solution proposed in both equations.
Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $3,047 was collected on the sale of 1,291 tickets.
With "x" the number of adult tickets sold and "y" the number of student tickets sold, you have the following system of equations:
[tex]\left \{ {{x+y=1291} \atop {5*x+1*y=3047}} \right.[/tex]
Through the substitution method, you must solve for one of the unknowns in one of the equations and substitute its value in the following one: in this case you solve for the variable y from the first equation:
y=1291 -x
and you replace in the second equation:
5*x + 1291 - x= 3047
Solving, you get:
5*x-x= 3047 - 1291
4*x= 1756
x= 1756÷4
x=439
Replacing this value in the expresion y=1291 -x you get:
y=1291 -439
y= 858
The basketball game sold 439 adult tickets and 858 student tickets.
If the legs of a right triangle are x, (2x - 1) and its hypotenuse is (2x + 1), what is the value of x?
Answers
Answer:
x=8
Step-by-step explanation:
(2x + 1)² = x² + (2x - 1)² = x² + (2x - 1)(2x - 1)
(2x + 1)(2x + 1) = x² + 4x²-2x-2x+1
4x²+2x+2x+1 = 5x²-4x+1
4x²+4x+1 = 5x²-4x+1
0= 5x²-4x²-4x-4x+1-1
0= x²-8x
x²-8x=0
x²=8x
x=8
A music collection includes 19 ROCK CDs, 12 COUNTRY CDs, 6 CLASSICAL CDs, and 5 HIP HOP
CDs. What is the probability that a CD randomly selected from the collection IS a classical CD?
Answers
Answer:
The probability is 6/42. If you need it simplified it's 1/7.
Step-by-step explanation:
If it's wrong please let me know :)
Jeremy received a Bill with a balance due of 25.60
Answers
Answer:
6.40$
Step-by-step explanation:
HOPE THIS HELPS
PLZZ MARK BRAINLEIST
Solve: 5x=-6x+9
A: x= -9
B: x= -9/11
C: x= 9
D: x= 9/11
Answers
Answer:
x = 9/11
Step-by-step explanation:
5x = -6x + 9
Add 6x to both sides
11x = 9
Divide both sides by 11
x = 9/11
Answer:
X Equals 9/11
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable. So X will equal 9/11, which in decimal form is 0.81.
g(1)=0
g(n)=g(n-1)+n
g(2)=????
Answers
If g(1) = 0 and g(n) = g(n-1) + n, then g(2) = 2
The given relationship is:
g(1) = 0
g(n) = g(n-1) + n
g(2) = ?
Since g(1) is already known
g(2) = g(1) + 2
Note that g(1) = 0
Substitute g(1) = 0 into g(2) = g(1) + 2
g(2) = 0 + 2
g(2) = 2
Therefore, if g(1) = 0 and g(n) = g(n-1) + n, then g(2) = 2
Learn more on sequence here: https://brainly.com/question/6561461
A box of socks contains 5 white socks, 3 grey socks, 4 black socks and 1 blue sock. If Sophie
closes her eyes and randomly picks two socks from the box, what is the probability that both socks
are grey?
Answers
Answer:
1/5
Step-by-step explanation:
what is the answer to the question -6=n+5n
Answers
Answer:
-1=n I believe would be the answer.
Please help me with this
Brainiest answer to who ever is correct
Answers
Answer:
y=-2x-3
Step-by-step explanation:
Answer:
so slope or gradient is -2
Step-by-step explanation:
y=-2x-3
Given that f(x) = x/2 +5,
a) Find f(2)
b) Find f^-1(x)
c) Find f^-1(5)
Answers
Answer:
f(2)=6
f^-1(x)=2x-10
f^-1(5)=0
hope it helps
How many radians is 252°?
Give the exact answer in simplest form
Answers
Radian is a more advanced degrees measurement that is easier to use in trigonometry physics etc.
A full circle 360 degrees is 2pi radian.
We just need to find the ratio of 252 degrees to 360 degrees and multiply that by 2pi.
252/360*2pi(rad)
=126/180*2pi(rad)
=63/90*2pi(rad)
=21/30*2pi(rad)
=7/10*2pi(rad)
=7/5*pi (Radian)
Hope it helps and sorry for my bad grammar.
yo does anyone know how to solve this
Answers
(-7, 0)
i promise im right
A cylinder cooler has a diameter of 30inches and a height of 24 inches.Runners on a Marathon can use cone shaped cups to get a drink from the cooler.if the cups have a diameter Of 3 inches and a height of 4 inches,about how many full cups would be able to be filled from the cooler?Estimate useing 3.14 for pi.
Answers
Answer:
600 cups
Step-by-step explanation:
Use the GCF (Greatest common factor) to factor the expression 3.02
+ 8x
Answers
Answer:
hi
Step-by-step explanation:
Please help me please
Answers
Answer:
B
Step-by-step explanation:
QRST is a parallelogram. Find x, y, and z.
Answers
Answer:
x=5.4
y= 9
z= 11
Step-by-step explanation:
5x= 27
x= 5.4
2y-5=y+4
y=9
3z = 33
z =11
A triangle has side lengths of 21 cm and 17 cm. What is the range of values possible for the 3rd side?
Answers
Answer:
[tex]4 < x < 38[/tex]
Step-by-step explanation:
[tex]21 - 17 = 4[/tex]
[tex]21 + 17 = 38[/tex]
The range of 3rd side is in between 4 to 38.
[tex]4 < side 3 < 38[/tex]
A triangle has side lengths of 21 cm and 17 cm
side 1 = 21 cm
side 2 = 17 cm
What is the relation between side of triangle?
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Therefore,
length of side 3
[tex]21-17 < side 3 < 21+17[/tex]
[tex]4 < side 3 < 38[/tex]
Therefore the range of 3rd side is in between 4 to 38.
[tex]4 < side 3 < 38[/tex]
To learn more about the side of triangle visit:
https://brainly.com/question/20734777
Two students were shopping for school supplies. They need spirals which cost x dollars and pens which cost y dollars. One student bought 2 spirals and 3 pens for $8.66. Another student bought 4 spirals and 5 pens for $15.20. Find the unit cost of a spiral.
Answers
Answer:
x=1.15
y=2.12
Step-by-step explanation:
look at the picture ..........
How is the formula to find the slope between any two points the same as rise/run?
Answers
Answer:
because as long as it's the same number, the equation is still the same as long as you have the same numbers and you're using the same subtraction/addition properly
Step-by-step explanation:
Select the correct infinitive.
¿A dónde van Uds. los domingos?
_____ a la iglesia.
Answers
Answer:
la respuesta es voy a la iglesia corona plis
Age was given instructions to create a rectangular garden that had an area of 45 ft^2. he was told that the length of the garden must be 1 ft less than twice the width. Find the length and width of the garden.
Answers
Answer:
width = 5 ft
length = 9 ft
Step-by-step explanation:
Here, we want to get the length and width of the garden
length is 1 ft less than twice the width
if width = w
length = 2w-1
The product of the two is 45
so, we have it that;
w(2w-1) = 45
2w^2 - w = 45
2w^2 - w -45 = 0
2w^2 - 10w + 9w -45 = 0
2w(w-5) + 9(w-5) = 0
(2w + 9)(w-5) = 0
2w + 9 = 0
or w -5 = 0
w = 5 or-9/2
w cannot be negative, so we = 5
l = 2(5) -1 = 10 - 1 = 9 ft
A tree measured 12 1/2
feet tall. Over the next 5 1/2
years it grew to be 51 feet tall.
During the 5 1/2
years, what was the average yearly growth rate of the tree?
Answers
Answer:4.08 ft a year or 1 and 5/8 feet a year (approx)
Step-by-step explanation:
It's 12.5 feet the first year
51 feet 5 years later
If you do the math and divide 51 by 12.5, you get 4.08 which is around 1 and 5/8 ft
12.5x4.08 is 51 feet.
So the tree grows approximately 1 and 5/8 feet a year
I need help with this
Answers
13. SOLVE FOR X
21)
18
21
x+ 13
A) 8
C) 7
28
B) 11
D) 6
Answers
Well first go to 'Add Attachments' when your asking a question.
Click whatever file/photo that you wanna show us, and click done.
See?
Ta da~
Can anyone help me in this please?
Answers
12y + 18 = 138
12y = 120
y = 10
Bill makes a conjecture that the sum of an odd integer and itself is always an even
integer. Which choice is the best proof of his conjecture?
Answers
Answer:
Step-by-step explanation:
if we vibe for 3 hrs and become freinds how long will we be freinds?
Answers
Answer:
it depends
Step-by-step explanation:
I could be very committed,
im 15 in july my name is mercedes. and im bi, I skate and taken
Carlos and Lily want to know the combined amount of money they made last week. They both made $12 per hour, but Carlos also made a $35 bonus. Carlos says the combined amount is 12C + 35 + 120 where Cis the number of hours he worked, and L is the number of hours Lily worked. Lily says the combined amount is 12(C+ L) + 35. Who is right? Explain.
Answers
Answer:
Lily is rightStep-by-step explanation:
Carlos made:
12C + 35Lily made:
12LTogether they made:
12C + 35 + 12L = 12(C + L) + 35Lily is right. We don't know what 120 means in Carlos's equation, he should put 12L for Lily.
According to the property a/b = a/b which choice is equivalent to the quotient below? 30/5
Answers
Answer:
Answer is
Step-by-step explanation:
D
Lala!smzl!smzkaka