Answer:
2/5 :)
Step-by-step explanation:
In the adjoining figure, the parallel lines are marked by arrow lines. The value of angle 1 is:
Answer:
20°
Step-by-step explanation:
40°, 70° and 90° are the measures of the three angles of the quadrilateral.
Measure of fourth angle of the Quadrilateral
= 360° - (40° + 70° + 90°)
= 360° - 200°
= 160°
Measure of angle 1 will be equal to the measure of the linear pair angle of 160° as they are corresponding angles.
Thus,
[tex]m\angle 1 = 180\degree- 160\degree[/tex]
[tex]\implies\huge\purple{\boxed{ m\angle 1 = 20\degree}}[/tex]
Alternate method:
[tex]m\angle 1 = 180\degree- [360\degree-(40\degree+70\degree+90\degree)][/tex]
[tex]\implies m\angle 1 = 180\degree- [360\degree-200\degree][/tex]
[tex]\implies m\angle 1 = 180\degree- 160\degree[/tex]
[tex]\implies m\angle 1 = 20\degree[/tex]
Answer:
m∠1 = 20°
Step-by-step explanation:
Alternate interior angle theorem (z-angles): when two parallel lines are cut by a transversal, the resulting alternate interior angles are equal.
Therefore, because of the parallel lines, angle 1 is equal to the missing angle in the quadrilateral (see attached diagram - alternate angles marked in red).
Let x = unknown angle in the quadrilateral (marked in blue on attached diagram)
Sum of interior angles of a quadrilateral = 360°
⇒ x + 40° + 70° + 90° = 360°
⇒ x + 200° = 360°
⇒ x = 160°
Angles on a straight line add up to 180°
⇒ x + m∠1 = 180°
⇒ 160° + m∠1 = 180°
⇒ m∠1 = 20°
The roof of a tower in a castle is shaped like a cone. The height of the roof is 30 ft, and the radius of the base is 15 ft. What is the surface area of the roof?
Answer:
area=2πr
= 22/7*15
= 47.142
-
Using the GCF factor the given expression 4m - 20
4(m - 5)
2(2m - 10)
4m - 20)
2(2m - 20)
Hey there!
Finding something that’s equivalent to: 4m - 20
Option A.
4(m - 5)
= 4(m) + 4(-5)
= 4m - 20
Possibly Option A. is your answer.
Option B.
2(2m - 10)
= 2(2m) + 2(-10)
= 4m - 20
Possibly Option B. could be your answer
Option C.
4(m - 20)
= 4(m) + 4(-20)
= 4m - 80
Optipn C. isn’t your answer
Option D.
2(2m - 20)
= 2(2m) + 2(-20)
= 4m - 40
Option D. also isn’t your answer just like Option C.
FACTORS OF: 4m - 20
4: 1,2,4, & m
20: 1,2,4,5,10,& 20
LIKE TERMS: 1,2,4
GCF: 4
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Ms. Bassie bikes a total of 11/12 mile to get to and from work each day. Write
an expression that can be used to find the total number of miles that Ms.
Bassie bikes to and from work over 5 days. Then evaluate the expression.
Answer:
Step-by-step explanation:
1 day, she travels 11/12 of a mile.
5 days, she travels 5 * 11/12 miles
5*11/12 = 55/12 = 4 7/12 miles.
Jason measured rainfall for a science project. Last week it rained 3 1/8 inches in all. This week it rained 1 7/8 inches on one day and 2 3/4 inches on another. How many more inches did it rain this week than last week? Explain how you found your answer.
Answer:
1 1/2 inches
Step-by-step explanation:
To find how much more a second number is than a first number, the first is subtracted from fhe second. Here, we want to know how much more the second week total is than the first, so we subtract the first week's total from the second week's total.
__
We find the second week's total by adding up the values associated with the different days in the second week.
second week's total = 1 7/8 +2 3/4 = (1 +2) +(7/8 +6/8) = 3 13/8 = 4 5/8
Then the difference is ...
second week's total - first week's total
= 4 5/8 -3 1/8 = (4 -3) +(5/8 -1/8) = 1 4/8 = 1 1/2
It rained 1 1/2 inches more this week than last week.
Help me plssssssssssss
Answer:
DC=12, AD=5, DB=13, 90 degrees
Step-by-step explanation:
Hope this helps!!!
Let me know if you want an explanation!
Billy had 55 stamps in his collection. Billy’s older brother Tommy had 73 stamps in his collection. How many stamps did the two brothers have together?
Answer:
128
Step-by-step explanation:
Billy has 55 stamps and his brother Tommy has 73. Add 73 and 55 together. 55+73=128
A car is traveling at a constant speed of 45 miles per hour. How many feet does it travel in 6 seconds?
Answer:
The car will travel at 198 feet in 3 seconds. The speed of the car = 45miles/ hour. To convert miles to feet;. 1 mile = 5280 feet.
Step-by-step explanation:
The car will travel at 198 feet in 3 seconds. The speed of the car = 45miles/ hour. To convert miles to feet;. 1 mile = 5280 feet.
Solve for x.
7.5x11=4.85
Enter your answer as a decimal in the box.
x =
7.5x11 = 4.85
82.5x = 4.85
*divide 82.5 on both sides*
x = 4.85 ÷ 82.5
x = 0.058788
Answer:
0.058787879
Step-by-step explanation:
(7.5)(x)(11)=4.85
82.5(x)=4.85
x=4.85÷82.5
x= 0.058787879
Joe spins a spinner with a 1, 2, 3, and 4. He also flips a coin with heads and tails. what is the probability of Joe spinning a 1 and landing on heads?
Answer:
The probability of Joe spinning a 1 is a 1 out of 4 chance and the probability of him flipping heads is a 50/50 chance
Step-by-step explanation:
The spinner only has 4 numbers therefore getting any number out of those four would be a 1/4th probability. As for the coin, the coin only has 2 sides so there is a 50% chance it lands on heads or a 50% chance it lands on tails.
The principal P is borrowed at simple interest rate r for a period of time t. Find the loan's future value, A, or the total amount due at time t. Round answer to the nearest cent. P = $11,000.00, r = 9%, t = 150 days
well, if take a year to be 365 days so hmmm 150 days is really just 150/365 of a year, so let's use that.
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$11000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ t=years\to \frac{150}{365}\dotfill &\frac{30}{73} \end{cases} \\\\\\ A=11000[1+(0.09)(\frac{30}{73})]\implies A=11000\left( \frac{757}{730} \right)\implies A\approx 11406.85[/tex]
Find the measure of ∠b.
Answer:
B. 38°
Step-by-step explanation:
The angles of a triangle add up to 180.
So, 62 + 80 + b will add up to 180.
First, we add 62 =80, which gives us 142.
The we subtract 142 from 180, which gives us 38.
Pls help this my last question!
Answer:
Step-by-step explanati
- |10+8l=-2
What is the measure of angle x?
Enter your answer in the box.
X=
Answer:
Step-by-step explanation:
y + 47° = 90° {Complementary angles}
y = 90° - 47°
y = 43°
x = y {Vertically opposite angles}
x = 43°
Answer:
x = 43°
Step-by-step explanation:
[tex] \sf{Y + 47° = 90° } [/tex]Substract 47° from both sides
[tex] \sf{Y + 47° - 47° = 90° - 47°} [/tex][tex] \sf{Y = 43°} [/tex]since X and y are vertically opposite angles
[tex] \sf{x = 43°} [/tex]Four friends are order pizza from a take away.
The amount of pizza each person eats is shown as a fraction below
Matthew eats 0.8of a pizza
Lily eats 3/4of a pizza
George eats 77%opizzas f a pizza
Sam eats 82%of a pizza
Which person eats the most pizza?
You must show your workings
Answer:
Sam ate the most pizza.
Step-by-step explanation:
Mathew: 0.8 is equal to 80%
To get a percentage, you need to move the decimal two places to the right.
Lily: 3/4 = 75%
George: 77%
Sam: 82%
I need HELP with this question!
Answer:
It will be C
Step-by-step explanation:
Because it says least to greatest and C says 1/2 3/8 5/16 7/16 9/32 15/32 and that is least to greatest there you go
Help help help help help help help
Answer:
14 :)
Step-by-step explanation:
28/2 = 14
Have an amzing day!!
Please rate and mark brainliest!!
A garden table and a bench cost $668 combined. The garden table costs $82 less than the bench. What is the cost of the bench?
Step-by-step explanation:
let the cost of the bench = x
the cost of the garden table = x + 82
x + (x + 82) = 668
2x + 82 = 668
2x = 586
x = 293
The bench costs $293 and the garden table costs 293 + 82 = $375
can you mark me as brainliest, it will help me a lot. thank you in advance
Which rule(s) represents a linear function?
Answer:
f(x) = ax + b, where a and b are real numbers.
Did i do this right?
Answer:
yes
Step-by-step explanation:
ik it's a bit Blurry but Can someone help me Please best answer will be brainliest<33
Match the angle measures with its equivalent.
Answer:
From top to bottom:
11π/12
-18 degrees
210 degrees
-5π/3
Step-by-step explanation:
Equation to change from radians to degrees:
(Radian number) x (180/π)
The trick is to remember that you want to cancel out the π when converting to degrees
Equation to change from Degrees to radians:
(degree number) x (π/180)
Bring in the π when converting to radians
So for the top one, you want to multiply 165 by π/180 to get
11π/12
Then the second one is -π/10 by 180/π to get
-18 degrees
and so forth
Answer:
Step-by-step explanation:
let be π=180 degrees.
165 degrees have to be 11π/12.
-π/10 will be -18 degrees.
7π/6 will be 210 degrees.
-300 degrees will be -5π/3
the average car on the highway travels 65 miles per hour. if someone has been driving for 4.5 hours how many miles have they driven (Help)
Answer:
292.5
Step-by-step explanation:
Since they are driving 65 miles for every hour, you can multiply the 65 miles by 4.5
So:
65 * 4.5 = 292.5
Mrs. Reynolds has $153. She buys a bicycle for $105.
Then, she finds $20 at the bottom of her purse.
How much money does she have now? Use the bar diagrams to help you.
Step 1:
Step 1: a bar diagram shows 105 and m, the money left after buying a bike. Together 105 and m are equal to 153.
Step 2:
Step 2: a bar diagram shows that 20 and m is equal to s, the money now.
Enter your answer in the box.
Mrs. Reynolds has $
now.
Answer:
$68
m=48 s=68
Step-by-step explanation:
153-105=48+20=68
Complete the net worth statement. What is the net worth of the individual?
A) $171,645
B) $19,950
C) $21,000
D) $26,595
Considering it's concept, it is found that the net worth of the individual is given by:
D) $26,595.
What is the net worth of an individual?It is given by the sum of the individual assets subtracted by the sum of it's liabilities.
Researching the problem on the internet, we have that:
The sum of the assets, in dollars, is of 545 + 165000 + 6100 = 171645.The sum of the liabilities, in dollars, is of 144000 + 1050 = 145050.Hence, his net worth is given by:
N = 171645 - 145050 = $26,595.
More can be learned about net worth at https://brainly.com/question/12371230
The net worth of the individual with assets worth $171,645 and liabilities of $145,050 is D) $26,595.
What is the net worth?The net worth is the value of assets less the value of liabilities.
The net worth shows the amount by which the assets have increased or decreased in value versus the liabilities.
Data and Calculations:Assets = $171,645
Liabilities = $145,050
Net worth = $26,595 ($171,645 - $145,050)
Thus, the net worth of the individual with assets worth $171,645 and liabilities of $145,050 is D) $26,595.
Learn more about net worth at https://brainly.com/question/12371230
If you spend 1.5 hours a week studying for English and 5 hours studying for math what is the ratio of time spent studying in math to studying for English?
Answer:
1.5/5
Step-by-step explanation:
For every 1.5 hours your spend studying English, you spend 5 hours studying Math.
Brainliest please?
Write an equation of the line that passes through the points (1, -6) and
(5, -6).
Answer:
Step-by-step explanation:
Hello ;
y= -6
z varies jointly with x and y. If x = 2, y = 3, and z = 4, write the variation equation and find z when x = −6 and y = 2.
Step-by-step explanation:
that means
z = k×x×y
4 = k×2×3 = k×6
k = 4/6 = 2/3
so, when x = -6 and y = 2, we get
z = 2/3 × -6 × 2 = 2 × -2 × 2 = -8
2. An object of mass 20kg is released from a height of 10m above the ground level. The kinetic energy of the object just before it hits the ground is (g=10ms-²
Answer:
2000j
Step-by-step explanation:
Kinetic Energy = mgh
= 20 x 10 x 10 J
= 2000J
Fastest answer gets brainliest (must provide an explanation and steps for proof)
Answer:
[tex]\sf g(x+5) = \dfrac{x+6}{4x+17}[/tex]
explanation:
g(x + 5) || this function refers to x = x + 5
solving steps:
[tex]\sf g(x) = \dfrac{1+x}{-3+4x}[/tex]
[tex]\rightarrow \sf g(x+5) = \dfrac{1+(x+5)}{-3+4(x+5)}[/tex]
[tex]\rightarrow \sf g(x+5) = \dfrac{6+x}{-3+4x+20}[/tex]
[tex]\rightarrow \sf g(x+5) = \dfrac{x+6}{4x+17}[/tex]
Answer:
Given function:
[tex]g(x)=\dfrac{1+x}{-3+4x}[/tex]
To find [tex]g(x+5)[/tex], substitute [tex]x+5[/tex] into the function in place of [tex]x[/tex]:
[tex]\implies g(x+5)=\dfrac{1+(x+5)}{-3+4(x+5)}[/tex]
[tex]=\dfrac{1+x+5}{-3+4x+20}[/tex]
[tex]=\dfrac{x+6}{4x+17}[/tex]