Answers
Answer:
To find c you know that angles on a straight line equal 180° (supplementary angles). So 70+30+∠C=180.
Now we can solve this.
100+c=180.
Move the 100 over to the other side.
100-100+c=180-100
Simplify.
∠C=80°
Because we know that the two lines with double arrows are parallel, we can use the rule that alternate interior angles are congruent. This means that ∠E=70.
∠E=70°
Since the total sum of the angles in a triangle are equal to 180°, we know that ∠D+∠C+∠E=180. Because we already know ∠C and ∠E we can put those numbers in for them. 80°+70°+∠D=180°. Now we can solve this.
80+70+D=180
Simplify this.
150+D=180
Now we move the 150 over to the other side to get D by itself.
150-150+D=180-150
Simplify.
D=30
∠D=30°
Now we can find the vertical angle opposite ∠A by using the alternate interior angles rule again this time using the parallel lines with only one arrow on them. The vertical angle opposite ∠A=30°. Since vertical angles are congruent ∠A=30°.
∠A=30°
We are going to use the alternate angles rule one more time to solve for ∠B (this rule is very important when dealing with parallel lines), we could also use the corresponding angles rule but for simplicity we will just stick with the alternate angles rule. Because the vertical angle opposite ∠A is equal to 30°, we can see that the supplementary angle opposite ∠B=30°. Because this angle is supplementary with B we know that 30+B=180.Now we can solve this.
30+B=180
Now we move the 30 over to the other side.
30-30+B=180-30
Simplify.
B=150
∠B=150°
I hope this helps!
Answer:
<b=150
Step-by-step explanation:
Related Questions
Help!!!!!!!!!!!!!!!!!!
Answers
Answer:
16ft
Step-by-step explanation:
It would be 16 feet because if you multiply 8 by 2 feet, you get 16ft.
Calculator
cm
n
8 cm
This figure represents a small paperweight. The plan is to cover
20% of the total surface area, including the bottom face, of the
paperweight with stickers.
15 cm
How much surface area will be covered with stickers?
10 cm
223.8 cm
11 cm
17 cm
895.2 cm?
1119 cm
5595 cm
1
2
3
4
5
Answers
Answer:
223.8
Step-by-step explanation:
I failed the test to get the answer
Answer:
the answer is 223.8
Step-by-step explanation:
I need an answer for number 5
Answers
Answer:
Step-by-step explanation:
Go
As an estimation we are told £3 is €4. Convert £63.20 to euros. Give your answer rounded to 2 DP.
Answers
Answer:
£79
Step-by-step explanation:
- Multiply 1.25
- 1.25 x 63.20
Tip:
We multiply from 1.25 because to get from 3 euros. 4 pounds is 1.25
please show all algebraic steps
Answers
under the same denominator r(r-4)
[6(r-4)] / (r(r-4)) + (4r) / (r(r-4)) = 1
(6r - 24 + 4r) / (r(r-4)) = 1
10r - 24 = r (r-4)
10r - 24 = r² - 4r
r² - 14r + 24 = 0
Δ = (-14)² - 4*1*24 = 100 = 10²
x' = (14 + 10) / 2 = 12
x" = (14 - 10) / 2 = 2
i'm french - so I answered as we learn in France :)
Brainliest if correct
Answers
Answer:
1
2
–
2
5
=
1 × 5
2 × 5
–
2 × 2
5 × 2
=
5
10
–
4
10
=
5 – 4
10
=
1
10
Step-by-step explanation:
How many solutions does it have?
3x+4 = 3x+4
Answers
Answer:
it has no solution.......
answer will be 3x+4 = 3x+4 i.e, 0=0 ,so
but if 3x+4 = 0 , x= -4/3 . Its a linear equation and has only one solution
Answer:
Infinitely many solutions.
Step-by-step explanation:
3x + 4 = 3x + 4
3x = 3x
Divide 3 from both sides.
x = x
Therefore, this equation has infinitely many solutions.
----------------------------------------------------------------------------------------------------------
Example ~
x = 1
(3 × 1) + 4 = (3 × 1) + 4
3 + 4 = 3 + 4
7 = 7
Written in the given rational numbers into the correct
Answers
Answer:
In order from left to right: [tex]-\frac{4}{3}, -\frac{4}{5}, -\frac{2}{3}, \frac{7}{10}, \frac{7}{8}[/tex]
Step-by-step explanation:
[tex]-\frac{4}{3}[/tex] is the only improper fraction because the numerator is greater than the denominator and since it is negative, that means that it is the least.
[tex]-\frac{4}{5}[/tex] as the decimal -0.8 is closer to -1 than [tex]-\frac{2}{3}[/tex] as the decimal -0.666...
[tex]\frac{7}{8}[/tex] as the decimal 0.875 is closer to one than [tex]\frac{7}{10}[/tex] as the decimal 0.7...
A friend lends you $150 for a week, which you agree to repay with
4% one-time interest. How much will you have to repay?
Answers
Answer:
174
Step-by-step explanation:
You have a Sweatshirt business you’re selling each Shirt for $20 a piece, If each shirt costs you
$45 a piece to make, how much would you make. If you sell 30 sweatshirts in one day
(Write 2 linear equations and solve)
Answers
Answer:
I don't know
Step-by-step explanation:
it depends on your definition and question
Both equations in a linear-quadratic system of equations can have two variables that are squared.
True or False
Answers
solve the literal equation for y.
Answers
Answer:
2B / (mx) = y
Step-by-step explanation:
B = 1/2 mxy
Multiply each side by 2
2B = 2* 1/2 mxy
2B = mxy
Divide each side by mx
2B / (mx) = mxy / (mx)
2B / (mx) = y
Answer:
[tex] \huge y = \frac{2B}{mx} \\ [/tex]
Step-by-step explanation:
[tex]B = \frac{1}{2} mxy \\ [/tex]
Multiply through by 2 to eliminate the fraction
That's
[tex]mxy = 2B[/tex]
Divide both sides by mx to make y stand alone
We have
[tex] \frac{mxy}{mx} = \frac{2B}{mx} \\ [/tex]
We have the final answer as
[tex]y = \frac{2B}{mx} \\ [/tex]
Hope this helps you
please help me with this
Answers
Answer:
B
Step-by-step explanation:
Consider this:
Cheese Dip --> Burrito --> Chicken
Cheese Dip --> Burrito --> Beef
Assume Cheese Dip is your starting point and Chicken / Beef are your ending points. We already have two combos here.
Now looking at the diagram, we should see eight ending points in total.
Therefore, there would be eight combinations for Lelia to choose.
Which relationships describe angles 1 and 2?
Select each correct answer.
O complementary angles
D vertical angles
O adjacent angles
O supplementary angles
Answers
Answer:
Complementary angles
Adjacent angles
Step-by-step explanation:
Complementary Angles: Two angles whose measures sum to 90°
Vertical Angles: a pair of non-adjacent angles formed by the intersection of two straight lines. Vertical angles are congruent
Adjacent Angles: Two angles that share a common side and a common vertex, but don't overlap.
Supplementary Angles: Two angles whose measures sum to 180°
Therefore, angles 1 and 2 are:
Complementary anglesAdjacent angleslab technician cuts a 29 in piece of glass tubing into two pieces. One piece is 2 in longer than the other. How long are the pieces?
Answers
Answer:
6.25 & 8.25
Step-by-step explanation:
im probably wrong lol-
29/2 = x+x+2
14.5=2x+2
12.5=2x
therefore x = 6.25 but to fin the other x add 2
so then the longer piece would be 8.25
[tex]\red\leadsto[/tex]Let one piece of glass tubing be of length x in ,
[tex]\green\leadsto[/tex]then other piece will be of length(x+2) in since it is 2 in longer than other piece
[tex]\\[/tex]
>>>Total length of both the piece
= 29 in _ _ _ (1)
>>>Total length of both pieces = length of shorter piece + length of longer piece
[tex]\:\implies[/tex] Total length of both pieces = x+(x+2) _ _ _(2)
[tex]\\[/tex]
Equating (1) and (2)
[tex]\:\implies[/tex]x+(x+2) = 29
[tex]\:\implies[/tex]x+x+2= 29
[tex]\:\implies[/tex]2x+2 = 29
[tex]\:\implies[/tex]2x= 29-2
[tex]\:\implies[/tex]x= 27/2
[tex]\\[/tex]
>>Length of smaller piece =
[tex]\:\implies[/tex]x = 27/2 in
>>> Length of larger piece =
[tex]\:\implies[/tex](x+2) = 27/2 + 2 = 31/2 in
[tex]\\[/tex]
[tex]\longrightarrow[/tex]Thus, The pieces are 27/2 in and 31/2 in long
The point X divides the line P Q in the ratio [3:4]. The length of PX
is what fraction of the length of P Q?
Answers
Answer:
Step-by-step explanation:
3+4=7
so it is 3/7 part of PQ
What is the median of the data displayed in this box-and-whisker plot?
42
49
54
57
Answers
Answer:
49
Step-by-step explanation:
because it is the middle
Hellllllllllllllllllllllp
Answers
Answer:
C
Step-by-step explanation:
Reflect over y axis the rotate 180 degrees.
2/3x=4 what is the answer?
Answers
Answer:
x=6
Step-by-step explanation:
Your answer would be x = 6.
The only step is to divide by 2/3 on both sides of the equation.
Order from least to greatest = 9.7 x 103 = 8.2 x 10-7 = 1.2 x 103 = 3.4 x 106 = 5.8 x 10
Answers
Step-by-step explanation:
there's no such that in mathematics
A health research institute collects information from 20 individuals on the number of years they have spent smoking cigarettes, and their age of death. The data is summarized below:
∑x=1257
∑y^2=836
∑x^2=98823
∑y=116
∑(xy)=8249
Find the correlation coefficient (r):
Answers
The correlation coefficient of the health research institute data measures the relationship between the age and the years of the smokers
The correlation coefficient is 0.53
How to calculate the correlation coefficientThe correlation coefficient (r) is calculated as:
[tex]r = \frac{n(\sum xy) - \sum x \sum y}{\sqrt{[n \sum x^2 - (\sum x)^2][n\sum y^2 - (\sum y)^2}}[/tex]
Using the given parameters, we have:
[tex]r = \frac{20 *8249 - 1257* 116}{\sqrt{[20 * 98823 - 1257^2][20 * 836 - 116^2}}[/tex]
Evaluate the exponents
[tex]r = \frac{20 *8249 - 1257* 116}{\sqrt{[20 * 98823 - 1580049][20 * 836 - 13456}}[/tex]
Evaluate the products
[tex]r = \frac{164980 - 145812}{\sqrt{[1976460 - 1580049][16720 - 13456}}[/tex]
Evaluate the differences
[tex]r = \frac{19168}{\sqrt{[396411*3264}}[/tex]
Evaluate the product
[tex]r = \frac{19168}{\sqrt{1293885504}}[/tex]
Evaluate the root
[tex]r = \frac{19168}{35970.6}[/tex]
Evaluate the quotient
[tex]r = 0.53[/tex]
Hence, the correlation coefficient is 0.53
Read more about correlation coefficient at:
https://brainly.com/question/1564293
Need answer ASAP!!!!!! will give brainliest and 50 points!!!!!!!!!!
Use vector operations to draw the resultant vector.
b) Draw 2u – 1 /3 v.
Answers
Vectors are elements of the vector space, and they can be illustrated by diagrams.
How to draw the vector 2u - 1/3vThe vector expression is given as:
2u - 1/3 v
Split the vector expressions, as follows:
[tex]y_1 = 2u[/tex]
[tex]y_2 = -\frac13v[/tex]
See attachment for the graphs of y1 and y2.
Next, we have:
[tex]y = 2u - \frac13v[/tex]
So, we have:
[tex]y = y_1 + y_2[/tex]
The above expression means that, we add the vectors y1 and y2 to get vector y
See attachment for the graph of 2u - 1/3 v
Read more about vectors at:
brainly.com/question/14480278
Hi no fake answer or links, if you put any you will be reported! If correct I will give brainliest!
Answers
Answer:
The answer is the first one this is because you have to distribute the 9 to all the values in the brackets
Step-by-step explanation:
someone helpppp asap
Answers
Answer:
its b, because they are using that formula to get the answer! And I also need brainliest really badly!
Sarah works two jobs over the summer. She is a waitress, earning $11 per hour, and she is also a babysitter for three kids, earning $18 per hour. Sarah currently waitresses 16 hours and babysits 3 hours a week. She would like to increase her babysitting hours and decrease her waitressing hours by the same number of hours. Write an expression to represent how this change would affect her weekly income.
HELP PLZ
Answers
Answer:
Step-by-step explanation:
Before the change she made $230 a week because 11x16=176 + 18x3= 54
but after the change she would make $321 a week because 18x16= 233 + 11x3= 33
given the following formula solve for r. C=2πr
Answers
Answer:
[tex]\frac{c}{2\pi } =r[/tex]
Step-by-step explanation:
c = 2πr
→ Divide both sides by 2π
[tex]\frac{c}{2\pi } =r[/tex]
Please help A.S.A.P
( I will mark brainliest
Answers
Answer:
A, C, E
Step-by-step explanation:
If f(x) = -2x – 3 and g(x) = x2 – 1 find f(-3) + g(3).
Answers
Answer:
Step-by-step explanation:
g ( f ( x ) ) = ( x+ 3) ^2
For every 15 seventh graders in band, there are 20 eighth graders. What is the ratio of eighth graders to seventh graders?
Answers
Answer:
The answer is 20:15, or 4:3 simplified
pleas can yall help me pleas
Answers
Answer:
$60.00
Step-by-step explanation: