Lines l and k are parallel to each other. A=120 degrees. and C=80 degrees. What is the number of degrees in B??
100 points
Answers
Answer:
B = 160°
Step-by-step explanation:
This is how I solved it (I hope the explanation isn't too confusing):
Since L and K are parallel, I drew a straight line from A to B. By doing this, I'm making a triangle: ΔABC
Then I solved for the angles of the triangle. First, we are given that ∠C = 80° and ∠A = 120°. Although, when I drew the vertical line from A to B, it made a 90° (see attachment).
So what we basically did was break ∠A into two parts: an angle inside ΔABC and one outside. To find the interior angle, simply subtract 90° from 120° to get 30°.
There are 180° in a triangle, so add the two interior angles you know:
30° + 80° = 110°
Then subtract 110° from 180° to find the final interior angle which is:
180° - 110° = 70°.
To find the measure of angle B, you must add all of the parts together, so the 90° outside angle and the 70° interior angle:
90° + 70° = 160°
Related Questions
The altitude of an isosceles triangle bisects the base and measures 10ft. If the base of the triangle measures 16ft, calculate: a) the area of the triangle b) and one side of the triangle.
Answers
Answer:
Step-by-step explanation:
the formula for calxulating the area if the isosceles triangle is expressed as;
[tex]A = \frac{1}{2}bh[/tex]
b is the base of the triangle
h is the altitude
Given
b = 16ft
h = 10ft
Substitute
A = 1/2 * 16 * 10
A = 8*10
A = 80ft²
Hence the area of the triangle is 80ft²
b) To get the measure of one side of the triangle, we will use the pythagoras theorem. Let s be the slant side
s² = h²+(b/2)²
s² = 10²+(16/2)²
s² = 10²+(8)²
s² =100+64
s² =164
s = √164
s = 12.8ft
Hence one side of the triangle is 12.8ft
Which of the following BEST describes the domain of the relation graphed below.
Answers
Answer:
The answer is D.
Step-by-step explanation:
Domain describes the range of the x values that is true for a function. By looking at the graph, the possible values of x are between -8 and 3. Therefore the answer is: x such that [-8≤x≤3]
Who here is amazing at math and is willing to help me every time I need help with math?!
Answers
Answer:
Me
Step-by-step explanation:
Because I am really good at math
4/4-x = 5/4+x what is x
Answers
Answer:
-1/8
Step-by-step explanation:
MATH
.A club has 18 girls and 12 boys as members. The president wants to break the club into groups, with each group containing the same combination of girls and boys. The president also wants to make sure that no one is left out. What is the greatest number of groups the president can make?
Answers
Brake it up into 15
Kiran says that -2 < -5 . Do you agree with Kiran
Answers
Answer:
No
Step-by-step explanation:
-2 is a larger number than -5, if you were to plot these two numbers on a number line, -5 would be further to the left of 0 than -2, which makes it a smaller number. The sign < means less than. The statement being made is that -2 is less than -5, which is false.
Answer:
no
Step-by-step explanation:
I took a test and this question was on it and the answer was no.
A middle school took all of its 6th grade students on a field trip to see a play at a theater that has 3700 seats. The students filled 52% of the seats in the theater. How many 6th graders went on the trip?
Answers
Answer: 1924
Step-by-step explanation:
Number if seats in the theater = 3700
Percentage of seats filled by students in the theater = 52%
The number of 6th graders that went on the trip will be gotten by multiplying 52% by 3700. This will be:
= 52% × 3700
= 52/100 × 3700
= 0.52 × 3700
= 1924
1924 students went on the trip
what's (+6) + (+48) ?
Answers
Answer:
54
Step-by-step explanation:
..
.
Taryn is shopping for a Christmas tree. At Home Depot the one she likes is $149.00 and she has a 15% off coupon. At Lowe's the one she likes is $175.00 and she has a 20% off coupon. Which store has the better deal with their coupons? How much will she save if she gets the better deal?
Answers
Answer:
Step-by-step explanation:
At home depot
Price of Christmas tree = $149.00
Discount = 15%
Amount discounted = 15% of $149
Amount discounted = 15/100 * $149
Amount discounted = 15 * 1.49
Amount discounted = $22.35
Amount she paid = $149-$22.35
Amount she paid = $126.65
At Lowe's:
Price of Christmas tree = $175.00
Discount = 260%
Amount discounted = 20% of $175
Amount discounted = 20/100 * $175
Amount discounted = 0.2 * 175
Amount discounted = $35
Amount she paid = $175-$35
Amount she paid at Lowe's = $140
From the prices above, it can be seen that Home Depot has a better deal since the price after removing discount is lower than that of Lowe's.
Amount she will save will be $140 - $126.65 = $13.35
1.
Convert pounds to ounces.
(1 pound = 16 ounces)
14 pounds =
Х
(1 pound)
=
*(
ounces)
Il
ounces
Answers
Answer:
224 ounces
Step-by-step explanation:
help will give brainly and pts.
Answers
) A rectangles length is 4 more than 3 times its width.
Its perimeter is 152. Find the length and width.
Answers
Answer:
no entiendo nada
Step-by-step explanation:
Let the width of the rectangle be 'w'
According to the question length of the rectangle (l) is 4 more than 3 times it's width;
[tex] \longrightarrow [/tex] l = 3w + 4
Perimeter of rectangle = 152
Formula of perimeter of rectangle = 2(Length + Width)
So,
[tex]\rm \implies 2(Length + Width) = 152 \\ \\ \rm \implies 2(3w + 4+ w) = 152 \\ \\ \rm \implies 2(4w + 4) = 152 \\ \\ \rm \implies 2 \times 4(w + 1) = 152 \\ \\ \rm \implies 8(w + 1) = 152 \\ \\ \rm \implies w + 1 = \dfrac{152}{8} \\ \\ \rm \implies w + 1 = 19 \\ \\ \rm \implies w = 19 - 1 \\ \\ \rm \implies w = 18[/tex]
[tex] \therefore [/tex] Width of the rectangle (w) = 18
Length of rectangle (l) = 3 × 18 + 4 = 58
Which of the following figures has rotated 90 counterclockwise about the origin?
Answers
Answer:
I believe the answer is B, although im not quite sure.
Use this diagram and information given to find mangleAFE.
abcdef500
Given: mangleAFB = mangleEFD = 65°
Points B, F, D and points E, F, C are collinear.
The measure of angleAFE is
°.
Answers
Since they are collinear, it means the BFD is a straight line and all the angles formed by the lines resting on a straight line add up to [tex]180[/tex] degrees. So, [tex]65 + 65 + x = 180[/tex]
When we add [tex]65[/tex] and [tex]65[/tex] we get [tex]130[/tex]. So,
[tex]130 + x = 180\\\\x = 180 - 130 = 50\\[/tex]
Henceforth, [tex]x[/tex] or angle [tex]AFE[/tex] is equal to [tex]50[/tex] degrees. :D
12x+y when x=3 and y=52
Answers
12(3) + (52)
12(3) = 36
36 + 52 = 88
Use the drop-down menus to completel the statements about the triangle shown.
Answers
Answer:
The legs are a and b, the hypotenuse is c
Step-by-step explanation:
The legs of a right triangle are the two smaller sides. The hypotenuse is the longest side it is also always opposite of the 90-degree angle. If you need to find the lengths of sides remember the Pythagorean theorem, .
Answer:
yes the person above me is correct .
Step-by-step explanation:
good job :)
x² – 9
x² - 2x - 15
Simplify
Answers
Answer:
x^2 - 9 = (x + 3)(x - 3) = (x - 0)^2 - 9.
x^2 - 2x - 15 = (x - 5)(x + 3) = (x - 1)^2 - 16.
I assume you mean factored form?
Factor 28xy + 25 + 35x + 20y
Answers
HOPE THIS HELPS YOU...
Ari thinks the perfect milkshake has 333 ounces of caramel for every 555 scoops of ice cream. Freeze Zone makes batches of milkshakes with 666 ounces of caramel and 888 scoops of ice cream.
What will Ari think about Freeze Zone's milkshakes?
Answers
Answer:
Ari will think that Feeze Zone makes milkshakes with too much caramel.
Step-by-step explanation:
First off I took 3 ounces of caramel to 5 scoops of ice cream, which makes a ratio of 3/5.
Freeze Zone makes milkshakes with 6 ounces of caramel, so I multiplied the 3 and the 5 by two to get 6 ounces of caramel for the ratio.
once you multiply the ratio by two it becomes 6/10 and the milkshakes that Freeze Zone makes are 6/8, so they have more caramel than Ari likes.
Sorry if the explanation is a little confusing, I hope it helped :)
One month Tom rented 6 movies and 5 video games for a total of $50. The next month he rented 2 movies and 3 video games for a total of $24 . Find the rental cost for each movie and each video game.
Answers
Answer:rental cost for each movie =$3.75 and for video games = $5.5
Step-by-step explanation:
Step 1 Let the cost of movie = x
and cost of video game = y
Cost at Ist Month for 6 movies and 5 video games for a total of $50 will be
6x+ 5y= $50------- Equation 1
Cost at 2nd Month for 2 movies and 3 video games for a total of $24 will be
2x+ 3y= $24-------- Equation 2
Step 2--- Solving
6x+ 5y= $50------- Equation 1
2x+ 3y= $24-------- Equation 2
Multiplying equation 2 by (3)
6x+ 5y= $50------- Equation 1
6x+ 9y= $72--------Equaton 3
subtracting equation 1 from equation 3
9y-5y=22
4y= 22
y=22/4= 5.5
Putting the value of y = 5.5 in equation 1
6x+ 5y= $50
6x + 5(5.5)= $50
6x =50-27.5
6x=22.5
x=22.5/6
x =3.75
Therefore rental cost for each movie =$3.75 and for video games = $5.5
Need Help QUICK, Will MARK BRAINLIEST!!!! LOTS OF POINTS
Answers
Answer:
Step-by-step explanation:
Help with what
Answer:
what is the question???
Step-by-step explanation:
Which chemical equation is balanced?
Answers
Answer:
D as in dog
Step-by-step explanation:
0.0000000043 estimated to the power of ten
Answers
Answer:
4.3 x 10^-9
Step-by-step explanation:
Convert to base 10 and move decimal 9 to right
show that the probabitity that this bead is purple or red is 3/4
Answers
Answer:
pls explain in more detail and attach pic cus ive got no clue what ur asking
3x - 11 + 2x + 5 = 180
Answers
Answer:
First, collect the like terms
3x+2x=180+11-5
Solve for x
5x=191-5
5x=186
x=186/5=37.2
Step-by-step explanation:
I hope it helped a little, please give me brainliest
Answer:
x = 37.2
see first you've got to remove terms without the pronumeral to the other side of the equal to.
List the parts that are congruent based on the markings. Be sure to label properly!
Please helppp. I’ll give brainliest!
Answers
Answer:
Angles T and W are congruent to each other. Angles U and X are congruent to each other.
Step-by-step explanation:
Help will mark Brainliest
Answers
Answer:
ion know if you still need the answer but i also may need more detail in order to answer your question may you explain the way it needs to be done then you will get your answer
Step-by-step explanation:
Find the ratio between 450 ml and 1l.
Answers
The ratio of mL to Liter is 450:1,000
Answer:
450mL : 1L = 9 : 20
Step-by-step explanation:
recall that 1L = 1000 mL,
450 mL : 1L can be expressed as
450mL : 1000 mL (we can simplify this with the following steps)
450 : 1000 (divide both sides by 10)
45 : 100 (divide both sides by 5)
9 : 20 (answer)
Can someone plz help
One question only
I WILL CROWN BRAINLIEST
Answers
ii) 2+5 = 7
4-1 = 3
So the column vector would be 7 over 3 in brackets
Hope this helps
Pascha is factoring the polynomial, which has four terms.
3x^3 – 15x^2 + 8x - 40
3x^2(x - 5) + 8(x - 5)
Which is the completely factored form of her polynomial?
O (3x^2 – 5) (X + 8)
O (3x^2 – 8) (x + 5)
O (3x^2 + 8) (x - 5)
O (3x^2 + 5) (x – 8)
Answers
Answer:
its (3x²+8)(x-5)
Step-by-step explanation:
3x² * x = 3x³.
3x² * -5 = -15x².
8 * x = 8x.
8 * -5 = -40.
The completely factored form of her polynomial is (3x² + 8)(x - 5).
What is the factoring of a polynomial?"Factorization of polynomials expresses a polynomial with coefficients in a given field or in the integers as the product of irreducible factors with coefficients in the same domain."
Given polynomial is:
3x³ – 15x² + 8x - 40
= 3x²(x - 5) + 8(x - 5)
= (3x² + 8)(x - 5)
Learn more about factoring of a polynomial here: https://brainly.com/question/20428956
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