Answers
Answer:
x = 10
y = 5
Angle 1: 80 degrees
Angle 2: 45 degrees
Angle 3: 100 degrees
Angle 4: 35 degrees
Angle 5: 35 degrees
Angle 6: 45 degrees
Angle 7: 100 degrees
Step-by-step explanation:
Since we know angle 1 is equal to 80, we can say that angle 7 is 100, since a line makes 180 degrees. Because of the congruence statements, we can assume angle 3 is also 100 degrees. That means, that out of the 360 degrees that make up a 4 sided shape, we are left with 160. Those 160 are shared with angles 2,4,5 and 6.
To find these, we need to find 5 and 6. But we need to find x before we can solve for those. So take the equations from 5 and 6 to solve for x.
(3x+5)+(5x-5)+100=180
(3x+5)+(5x-5)=80
8x=80
x=10
Now plug x in to solve for angle 5 and 6
3(10)+5 = 35. Angle 5
5(10)-5 = 45. Angle 6
Now, because we know that there are only 160 degrees left to share between angles 2,4,5,6 we can say that angles 2+5=80 and 4+6=80. We already figures out what angle 5 and 6 are, so just substitute and solve.
(angle 2)+35 = 80
(angle 2) = 45 degrees
(angle 4)+45 = 80
(angle 4) = 35 degrees
To solve for y, set angle 7 equal to 100 degrees:
100 = y^2 + 15y
100 = y(y+15)
y = 5
Related Questions
Question 1.
Write 803,000,000 in scientific notation.
Answer:
Question 2.
Write 0.0000000068 in scientific notation.
Answer:
Question 3.
Write 1.359 × 105 in standard form.
Answer:
Question 4.
The radius of a hydrogen atom is 0.000000000025 meter. How would you express this radius in scientific notation?
L
Answers
Answer:
1. 8.03 x 108 2. 6.8 × 10-9 3. 135,900 4. 2.5x10^-11
Step-by-step explanation:
Step 1
To find a, take the number and move a decimal place to the right one position.
Original Number: 803,000,000New Number: 8.03000000Step 2
Now, to find b, count how many places to the right of the decimal.
New Number:8.03000000Decimal Count:12345678
There are 8 places to the right of the decimal place.
Step 3
Building upon what we know above, we can now reconstruct the number into scientific notation.
Remember, the notation is: a x 10b
a = 8.03 (Please notice any zeroes on the end have been removed)
b = 8
Now the whole thing:
8.03 x 108
Step 4
Check your work:
108 = 100,000,000 x 8.03 = 803,000,000
9. On election day, registered voters go to a polling place to cast their vote. a. In a town, 273,600 votes were cast in an election. 57% of those who were registered voted. How many registered voters are there in the town? b. Reese claims that if 60% of the registered voters cast 273,600 votes, there would be fewer registered voters than above. Is he correct? Why or why not?
Answers
B.) yes he is correct because 60%= 164,160 which is less than the amount of votes
This rectangular prism was built with cubes that each have a volume of one cubic centimeter.
What is the volume of the rectangular prism?
Answers
Answer:
The volume of this rectangular prism is 60.
Step-by-step explanation:
V = L*W*H
( For a rectangular prism )
4 * 5 * 3
Answer:
To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.
What number is halfway between eight and nine
Answers
Example like (1, 1.5, 2, 2.5, 3, 3.5) etc
Can some one help me out and let me know what this is
Answers
You must divide by the coefficient (a number before a variable)
Hope this helps you! :)
~Just a joyful teen
[tex]GraceRosalia :)[/tex]
) Which list orders the fractions from least to greatest? A.) ½, ¾, ¼, ⅜ B.) ¾, ½, ⅜, ¼ C.) ¼, ⅜, ½, ¾ D.) ⅜, ½, ¾,
Answers
Answer:
I believe the answer is C
What is the slope of a line that is parallel to the given line
Answers
the slope of the parallel line would also be: -3/2
Hope this helps!!
Answer:
The slope of the parallel line is -3/2
Step-by-step explanation:
Calculate the slope using rise over run then simplify.
-6/4 , -3/2
1,200 plus what equals what??
Answers
Answer:
1,200+300=1,500
Step-by-step explanation:
Answer:
1,200+1,200=2,400
Step-by-step explanation:
(x-3)(x+3)(x+2)-(x-1)(x²-3)-5x(x+4)²-(x-5)²
Answers
Answer:
-5x^3-38x^2-76x-46=0
[tex]\sf Helppp! \:29=-8x-3[/tex]
Answers
Answer:
29+8x-3=0
Step-by-step explanation:
esto es lo que se esque no se si lo has escrito bien
Answer:
x=-4
Step-by-step explanation:
Switch sides:
−8x−3=29
Add 3 to both sides:
−8x−3+3=29+3
Simplify:
−8x=32
Divide both sides by −8:
−8x/−8 = 32/−8
Simplify again for the result:
x=−4
[tex]\boxed{\sf Answered \: By\: Subhash} [/tex]
[tex]\boxed{\sf Good\: luck \: for \: your \:assignment} [/tex]
Some people advise that in every cold weather, you should keep the gas tank of your car more than half full. Irene’s car had 5.8 gallons in the 13- gallon tank on the coldest day of the year. Irene filled the tank with gas that cost $3.70 per gallon. How much did Irene spend on gas?
Answers
Answer:
$27.72
Step-by-step explanation:
The information that we have its
The cost gas its $3.60 per gallon
Irene's car had 5.3 gallons
Irene's car tank is 13 gallons
so now for the know, How much did Irene spend on gas?
First
The gas that its necessary for filled de tank its
13gallons-5.3gallons=7.7 gallons
The cost for 7.7 its
7.7g*$3.60/g= $27.72
Help me please
Increase 55 by 137%
Answers
Answer:
75.35
Step-by-step explanation:
55 (1.37) = 75.35
Caitlin earned $5 for each baby hat she knitted. SHe wanted to make at least $50 before spring break. Which equation best represents this situation?
a. 5x>50
b. 5x<50
c. 5x>_50
d. 5x<_50
Answers
Answer:
c. 5x>_50
Step-by-step explanation:
Each hat earns her $5.
x number of hats will earn her 5x.
At least $50 means $50 or more, so it means the same as greater than of equal to 50.
5x >_ 50
Help me with problem plz
Answers
Answer:
It is SAS (side - angle - side)
Step-by-step explanation:
Both BCA and DCE cross from side then the angle and lastly side.
[tex]A(4,5) and B (3,4)\\[/tex]Find distance betweentwo points A(4,5) and B (3,4)
Answers
Answer:
√2
Step-by-step explanation:
given points are,
A = (4,5)
B = (3,4)
we know,
D = √(x_2 - x_1)² + (y_2 - y_1)²
→ √(3-4)² + (4-5)²
→ √(-1)² + (-1)²
→ √1 + 1
→ √2
therefore, distance between A and B is √2.
hope this answer helps you dear...take care and may u have a great day ahead!
describe rule for pattern 10, 30, 90, …
Answers
Answer:
it go by 20 then 30
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
Each term is 3 times the previous term, that is
30 = 10 × 3 = 30
90 = 30 × 3 = 90
There is a common ratio between consecutive terms meaning the sequence is geometric.
How to draw 0.15+0.36 using a quick picture
Answers
Answer:
heres my photo + answer
Step-by-step explanation:
0.15
+ 0.36
____
0.36
+——
0.51
There we go :)
alr so imma need this answer rn
Answers
The answer should be:
x = 5
So the answer is basically 5
True or False
a = 6 is a solution to the inequality below:
a/2 < 4
( The < is underlined)
Answers
6/2 = 3.
3 < 4 is a true statement.
Find the surface area of the regular hexagonal prism. Round your answer to the nearest hundredth.
A. 528 55 mm
B. 628 55 mm
C. 720 55 mm
D. 860 55 mm
Answers
860.55 mm
Explanation:
The surface area of an hexagonal prism, also known as an octahedron, is given by the following formula (since we have the apothem):
S= 6*b*(a+h)
where b = is the side of the base, a is the apothem length, and h = the height
S = 6 * 8 * (4√3 + 11) = 48 * 17.92812 = 860.55 sq mm
Could have also have used another formula without the apothem:
S =3 * √3 * b² + 6 * b * h
S = 3 * √3 * 8² + 6 * 8 * 11 = 3√3 * 64 + 528 = 332.55 + 528 = 860.55 sq mm
(Factorials)
Solve 5!
_help please_
Answers
Answer:
5*4*3*2*1= 120
you multiply each number to it's previous one till you reach 1
3х – 8y = — 16
=
M
So yeah I kinda need help
Answers
Answer:
3x-8y-16 = 0
Step-by-step explanation:
1........... 5x (3x +2)
2..........(-7ab)(2a^2bc) (4bc^2)
3.............3x^2(X-5)-X(X^2+3X)
4............5x^2 +4y^2-(2x^2+6y^2)
Answers
You do 3832083082x 32u393829832983x to get this 5,418
I need help understanding how to do this. I can understand the basic idea, I just don't know how to work with letters very well.
Answers
Answer:
(etr)^3 , 70f^6g^2h
Step-by-step explanation:
e^2r^2t^3
e^3r^3t^2
LCM=e^3r^3t^3
(etr)^3
10f^2gh
35f^3g^2
LCM= 70f^3g^2h
what is the length of the diagonal of a rectangle with width 3,5 cm and length 4,5 cm give your answer in simplest surd form
Answers
Answer:
Step-by-step explanation:
By Pythagoras:
d^2 = (3.5)^2 + (4.5)^2
d^2 = 12.25 + 20.25 = 32.5
d = √32.5
(2x)/(x-1)
Find the derivative using quotient rule
Answers
Answer:
Step-by-step explanation:
see pic below for quotient rule
[tex]\frac{(2x)'(x-1)-(2x)(x-1)'}{(x-1)^2}=\frac{2(x-1)-2x}{(x-1)^2}=\frac{2x-2-2x}{(x-1)^2}=-\frac{2}{(x-1)^2}[/tex]
Is -92.41 an integer
Answers
Answer:
No
Step-by-step explanation:
Because it is a decimal, it can't be an integer. Integers are whole numbers and can be positive or negative.
Hope this helps!
I NEED HELP PLEASE!!!!
Answers
Answer:
the answer is x=15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
since angles 84 and 5x + 9 are alternate interior angles they both are equal
i.e
5x +9 = 84
5x = 84 -9
5x = 75
x = 75/5
therefore x = 15
keep smiling
guys pls help me!!!!!!!
Answers
Answer:
36°
Step-by-step explanation:
it's the same as the given number.
lines l, m, and n are parallel to each other and the same line is intersecting all three of them. since the 36° angle is in the same placement as the x° angle, they are the same.
have a lovely day <3
plz help asap
You have used the Distributive Property to transform numerical expressions such as (5)(3) + (2)(3) to (5 + 2)(3). How would you transform 5x + 2x into a single term? Substitute five different values into the expressions 5x + 2x and 7x - 1. What do you notice about the values of the expressions? Is there any value that would make the two expressions equal? Why or why not?
Answers
Answer:
5x + 2x result values are 1 more then 7x - 1 result values
there are no values that will make the 2 expressions equal....
because 5x + 2x = 7x......and the other one is 7x - 1......so the 7x - 1 values will always be 1 number less...because ur subtracting one
Step-by-step explanation:
5x + 2x.....combine like terms..... = 7x
5x + 2x....subbing in 1 7x - 1....subbing in 1
5(1) + 2(1) = 5 + 2 = 7 7(1) - 1 = 7 - 1 = 6
5x + 2x...subbing in 2 7x - 1...subbing in 2
5(2) + 2(2) = 10 + 4 = 14 7(2) - 1 = 14 - 1 = 13
5x + 2x...subbing in 3 7x - 1...subbing in 3
5(3) + 2(3) = 15 + 6 = 21 7(3) - 1 = 21 - 1 = 20
5x + 2x...subbing in 4 7x - 1....subbing in 4
5(4) + 2(4) = 20 + 8 = 28 7(4) - 1 = 28 - 1 = 27
5x + 2x...subbing in 5 7x - 1...subbing in 5
5(5) + 2(5) = 25 + 10 = 35 7(5) - 1 = 35 - 1 = 34
Answer:
5x+2x= 7x....
Step-by-step explanation:
There is no value that would make them equal. If u subsitute x by 1, 2, 3 you get 7, 14, 21. When u substitute for 7x-1, all the values are 1 less than 7, 14, 21.