Answers
Answer:
a) x = 69°
b) y = 69°
Step-by-step explanation:
a. Given that AB and CD are parallel lines, therefore:
x = 69° (alternate interior angles are congruent to each other)
b. y + 111° = 180° (consecutive interior angles are supplementary)
y = 180° - 111° (substraction property of equality)
y = 69°
Related Questions
Previous balance: $1,221.35; payment: $300; new purchases: $25.90 and$18.53; periodic rate: 1.75%
Answers
Answer:
1478.67
Step-by-step explanation:
Anthony borrowed $18,800 at 6% simple interest for 4 months. Determine the amount of interest.
Answers
r = R/100 = 6%/100 = 0.06 per year,
putting time into years for simplicity,
4 months ÷ 12 months/year = 0.333333 years,
then, solving our equation
I = $ 376.00
I = 18800 × 0.06 × 0.333333 = 375.999624
I = $ 376.00
The simple interest accumulated
on a principal of $ 18,800.00
at a rate of 6% per year
for 0.333333 years (4 months) is $ 376.00.
What is 5/10 = x/100
Answers
Answer:
= 50
Step-by-step explanation:
Find an equivalent expression using the Distributive Property. 0.25(8r−4m)
Answers
Answer:
2r-m
Step-by-step explanation:
0.25(8r - 4m)= multiply the parentheses by o.25 then calculate 0.25x8r- 0.25x4m
David measured a line to be 13.5 inches long. If the actual length of the line is 16.6 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
Answers
Answer:
18.67
Step-by-step explanation:
(l2-l1)/l2 * 100%
where l2=16.6
l1=13.5
Answer:-23
Step-by-step explanation:
What is the solution of the equation 5* - 1 = 45? Round your answer to the nearest ten-thousandth.
Answers
Answer:
The answer is 3.3652
Step-by-step explanation:
Find the number in the thousandth place
5
and look one place to the right for the rounding digit
2
. Round up if this number is greater than or equal to
5
and round down if it is less than
5
.
3.365
Question 8
An even function g has the point (-9,-2) on its graph.
What are the coordinates of another point on the graph of g?
Answers
Answer: (9, -2)
Step-by-step explanation:
Let's start with what makes a function even. A function is even if the graph of it is symmetric about the y-axis. What is really means is that if you were to fold your graph paper where the crease is on the y-axis, the graph should be the same on each side.
Now since g is an even function, it's correct for us to assume that it is symmetric about the y-axis. What this means is that we expect to find a value at the same point, except on the right side (because our coordinate is negative).
Our coordinate is (-9, -2). If we were to plot it, we'd see it would be in the 3rd quadrant, or the bottom left one. To be symmetrical on the right side, we know there is a point with the same coords in the 4th quadrant. To be on the right, our x coordinate would be positive, and our y coordinate will stay the same.
I need help. What is an example of data where the Empirical Rule applies?
Answers
Answer:
Each animal lives to be 13.1 years old on average (mean), and the standard deviation of the lifespan is 1.5 years. If someone wants to know the probability that an animal will live longer than 14.6 years, they could use the empirical rule.
Which expression is equal to
(X+6/3)divide( x/7)?
A.
7x+42
3x
B.
3x
7x+42
7x+6
3.1
D.
3x
7x+6
Answers
Answer:
D is the most acurate answer.
Step-by-step explanation:
Select the algebraic expression for the word expression. 34 more than the product of 5 and y
34 x 5 + y
34 x 5 + y
34 + 5 + y
34 + 5 + y
(34 + y) x 5
Answers
Answer:
Step-by-step explanation:
None of the answers are correct.
34+5y
A pool of possible jurors consists of 15 men and 14 women. How many different juries consisting of 5 men and 7 women are possible?
Answers
Answer:
6
Step-by-step explanation:
Um so what I did was 15/5=3 and 14/7+2
So for the first group of men, 2 groups. TIMES 3.
Equals 6 options
Kevin plants a total 72 flowers in a equal row. He plants 6 rows of yellow flowers and 2 rows of red flowers. How many flowers are in each row?
Answers
Answer:
9
Step-by-step explanation:
9 is the answer bc
6+2=8
72/8=9
(lol I hope I helped)
which one is the answer
Answers
Answer:
Two
Step-by-step explanation:
use the rule to write the first five terms of the pattern: Rule: add 8, subtract 4 First term: 13
Answers
Answer:
17
Step-by-step explanation:
13 + 8 - 4
Answer:
{13, 17, 21, 25, 29}
Step-by-step explanation:
Add 8 and subtract 4 is equivalent to Add 4.
If the first term is 13, the next is 17;
the second term is 21; and
the third term is 25.
determine whether a triangle with these side lengths would be acute, right, or obtuse: 5, 7, and 10;
Answers
Answer:
obtuse
Step-by-step explanation:
Let 5 = a, 7 = b, 10 = c
if a^2 + b^2 = c^2, then the triangle is a right triangle by the converse of the Pythagorean Theorem
If a^2 + b^2 > c^2, then the triangle is an acute triangle by Theorem 8-4
if a^2 + b^2 < c^2, then the triangle is an obtuse triangle by Theorem 8-3
a^2 = 25
b^2 = 49
c^2 = 100
25 + 49 < 100, therefore the triangle is an obtuse
Simplify the following expression completely: v^13*v^14
Answers
____________________________
1.) Multiply:[tex]13+14=27[/tex]- When multiplying powers of the same base, all you have to do is add the exponents to multiply them.
So your answer is [tex]\bold{v^{27}}[/tex].
____________________________
Identify the pairs of corresponding angles and corresponding sides. It may help to rotate the shapes so they are facing the same direction.
Answers
∠J = ∠M = 90°
∠ L = 45°
∠K = 90°+45° =135°
JK/ST = KL/UT = LM/UV = JM/VS = 5/6
Humpty Dumpty sat on a wall, admiring his new digital watch which displayed hours
15:21
and minutes only. He noticed that it was when Jack and Jill set up the hill, but that
when they later came tumbling down again his watch showed only 10:51. At that point
Humpty realised that he'd had his watch on upside down all the time! How long did Jack
and Jill take to go up the hill and down again?
hours
Dand
minutes
Answers
Answer:
The time was actually showing 15:01 so it takes them 20 minutes i think?
What is the velocity of a car that’s traveled 306 kilometers northeast in 3.4 hours
Answers
Answer : -302.6
Step-by-step explanation:
36
Which of the following points would fall on the line produced by the point-slope form equation y - 3 = 1/2(x - 7) when graphed?
(5, 4)
(9, 4)
(2, 9)
(4, 8)
Answers
Answer:
9,4
Step-by-step explanation:
Pls help I’ll brainlest due ASAP
Answers
Solve the right triangle round your answer to the nearest tenth
Answers
Answer/Step-by-step explanation:
✔️A = 180° - (50° + 90°) (sum of triangle)
A = 40°
✔️Find a:
Reference angle = 50°
Opposite = 17
Adjacent = a
Therefore, using trigonometric ratio, we have the following:
Tan 50 = 17/a
a = 17/tan 50
a = 14.3 (nearest tenth)
✔️Find c using Pythagorean Theorem:
c² = a² + b²
c² = 14.3² + 17²
c = √493.49
c = 22.2 (nearest tenth)
Given that f (x) = x help me plz
Answers
Answer:
Step-by-step explanation:
f(x) + g(x) = x^2 - 2x + x + 12
f(x) + g(x) = x^2 - x + 12
(f + g)( -1) = 1 + 1 + 12 = 14
f(x) - g(x) = x^2 - 2x - x - 12
f(x) - g(x) = x^2 - 3x - 12
(f + g)(-1) = (-1)^2 -(3)(-1) -12
(f + g)(-1) = 1 + 3 - 12
(f + g)(-1) = - 8
Estimate. −49100+1021= ________
Answers
Answer:
-48079
Step-by-step explanation:
-(49100-1021)
-48079
1021−49100
Then we use the rule a - b = - (b - a)
-(49100 - 1021)
Then we use the algorithm method (that’s what I prefer)
After a simplification we have,
−(49100−1021) = -48079
Therefore , -49100 + 1021 = - 48079
Factor to write an equivalent expression for -9x+15y
Answers
Answer:
Step-by-step explanation:
-9x +15y = 3(-3x +5y) = -3(3x - 5y)
The required equivalent expression for the given expression -9x + 15y is 3(-3x + 5y).
What is the Factorization?Factorization, also known as factoring, is the breakdown of one element into a product of other objects, or factors, which when multiplied together generate the original. For example, the number 21 factors into primes as 3 × 7, and the polynomial x² − 9 factors as (x+3)(x-3).
The given expression is given as follows:
-9x + 15y
It is required to find the factorization of the given expression.
As per the question, we have
-9x + 15y
To factor -9x + 15y, we can first factor out the greatest common factor (GCF) of -9 and 15, which is 3:
-9x + 15y = 3(-3x + 5y)
Therefore, the equivalent expression for -9x + 15y is 3(-3x + 5y).
Learn more about the Factorization here:
brainly.com/question/4184435
#SPJ3
Simplify.
1.25x+7−3x−4+x
_____ x + ______
Answers
Answer:
:)
Step-by-step explanation:
ta da, hope this is what you're looking for
Answer:
0.75x+3
Step-by-step explanation:
The diagram shows a logo
Answers
Answer/Step-by-step explanation:
✔️Find EC using Cosine Rule:
EC² = DC² + DE² - 2*DC*DE*cos(D)
EC² = 27² + 14² - 2*27*14*cos(32)
EC² = 925 - 756*cos(32)
EC² = 283.875639
EC = √283.875639
EC = 16.85 cm
✔️Find the area of ∆DCE:
Area = ½*14*27*sin(32)
Area of ∆DCE = 100.15 cm²
✔️Since ∆DCE and ∆ABE are congruent, therefore,
Area of ∆ABE = 100.15 cm²
✔️Find the area of the sector:
Area of sector = 105/360*π*16.85²
Area = 260.16 cm² (nearest tenth)
✔️Therefore,
Area of the logo = 100.15 + 100.15 + 260.16 = 460.46 ≈ 460 cm² (to 2 S.F)
Mrs law bought 1/2 of a cake. She cut it into 4 equal pieces. What fraction of the whole cake is each piece. A. 1/4. B. 1/2. C. 2/3. D. 1/8
Answers
Answer:
d
Step-by-step explanation:
Answer:
It would be d since its 1/2 and there asking for the whole cake
If $2,500 is deposited into a new account that earns 2% interest compounded quarterly and there are no other deposits or withdrawals, how much interest is earned after 15 years?
Answers
Answer:
The amount is $3372.13 and the interest is $872.13
Step-by-step explanation:
Interest is the monetary charge for the privilege of borrowing money.If $2,500 is deposited into a new account that earns 2% interest compounded quarterly and there are no other deposits or withdrawals,
then 864.671 is the interest earned after 15 years.
What is Interest?Interest is the monetary charge for the privilege of borrowing money.
Given that $2,500 is deposited into a new account that earns 2% interest compounded quarterly and there are no other deposits or withdrawals, We need to find how much interest is earned after 15 years.
After 15 years,
Amount=2500×(1+2%)^15
=3364.671
The formula for interest is given below,
Interest=Amount-Capital
=3364.671-2500
=864.671
Hence 864.671 is the interest earned after 15 years for $2,500 is deposited with 2% interest compounded quarterly and there are no other deposits or withdrawals.
To learn more on Interest click:
https://brainly.com/question/13324776
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the product of 9, and a number increased by 7, is 144. what is the number?
Answers
Answer:
somehow i got 0.7345
Step-by-step explanation: