The measures of unknown angles are, m∠2 is 42°, m∠1 = 88° and
m∠3 = 113°.
What is a transversal?We know when a transversal intersects two parallel lines at two distinct points,
Two pairs of interior and alternate angles are formed such that the measure of interior angles are same and the measure of alternate angles is also the same.
We know vertically opposite angles are of equal measure.
∴ m∠2 is 42°.
We know the sum of all the interior angles in a triangle is 180°.
∴ m∠1 = 180° - 50° - 42°.
m∠1 = 88°.
m∠3 = 180° - 42° - 25°.
m∠3 = 113°.
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Carmen got a puppy for her birthday. Her mom wants it kept outside when the weather
is nice, so Carmen has decided to fence a rectangular area 9 feet long by 6 feet wide for
the puppy to play in. How many feet of fence does Carmen need?
Answer:
54ft of fence for the PUPPY
Step-by-step explanation:
A space probe is launched from a platform that is just above 100 meters below sea level. The probe is expected to travel into deep space indefinitely. Write an equality showing the altitude of the probe after it is launched.
Answer:
x ≤ ∞
Step-by-step explanation:
Let x represent the height of the space probe above sea level in meters.
Initially, before launch, the space probe is launched from a platform that is just above 100 meters below sea level, hence:
x < -100 (the negative sign shows that it is below sea level).
After launch, The probe is expected to travel into deep space indefinitely. Therefore the height of the probe after it is launched is represented by the inequality:
x ≤ ∞
Millie's family went out to dinner. At the restaurant, they
had to wait to be seated. They arrived at 5:00 but were
not seated until 5:20. If Millie's minute hand on her
watch is 1.5 cm long, how much area of the clock was
covered while she waited for her table?
1.766 sq. cm
2.355 sq. cm
07.065 sq. cm
9.42 sg. cm
this is 2 complicated for me
Plsss help I need answers by today
Answer:
E, A, F
Step-by-step explanation:
(-5,-3) (5,-4) slope =
Answer: -1/10
Step-by-step explanation:
Y2- Y1 over X2 - X1
-4 - - 3 over 5 - - 5
-4 + 3 over 5 + 5
-1 over 10
Noah collected five water samples from local streams. Each sample was the same size, and he collected 4.35 liters of water in all. What was the volume of each water sample?
Answer:
4.35/5= 0.87 liters
you divide the total by how many to find out what the unit rate is for each sample
Step-by-step explanation:
0.6¯¯¯ is... irrational because it is a repeating decimal irrational because it can't be written as a fraction rational because it is a decimal that goes on forever without repeating rational because it can be written as a fraction
Answer:
The number is irrational because it can’t be written as a fraction
Step-by-step explanation:
Here, we want to state why the given number is irrational
Mathematically, an irrational number is one that cannot be expressed as the ratio of two integers
Thus, the reason why the number is irrational is because it can’t be written as a fraction
HELP LOL, i dont understand
Answer:
C
Step-by-step explanation:
Since the lines make a linear pair,
(5x+10)+(2x-5)=180
7x+5=180
7x=175
x=25
now, we just plug in
5(25)+10
125+10
135
Solve for x: 3x − 24 = 81 WILL GIVE BRAINLIEST
fifty-seven over three
one hundred five over three
57
105
Answer:
35
Step-by-step explanation:
Answer:
[tex]x=35[/tex]
Step-by-step explanation:
[tex]3x-24=81\\3x=105\\x=35[/tex]
If 5 pounds of oranges costs $11.55, how much would it cost for 12 pounds of oranges?
Answer:
27.72
Step-by-step explanation:
Answer:
12 pounds of oranges would cost $27.72
PLEASE CHECK, THANK YOU
Me and my friends have made a you tube channel that helps you in math if you could please check it out, it is called Evimero Academy
Rochelle can run 800 meters in 5 minut
At that rate, how many meters can
Rochelle run in 9 minutes?
Rectangle ABCD has a length represented by the expression 5x + 1 and a width represented by the expression 3x - 7. Which expression can be used to represent the perimeter of Rectangle ABCD?
A B 6
16x - 6
x - 12
O 16x - 12
Answer:D
Step-by-step explanation:
HELP PLEASE!!!
Sofia spends $36 on groceries each week. If you write down a list of her total spending over
time, what kind of sequence will you have?
A arithmetic
B geometric
C both
D neither
Answer: A, arithmetic
Step-by-step explanation:
An arithmetic sequence has a constant difference between each term. If she spend 36 dollars each week, the first week would be 36 the second week would be 72, and so on.
Help me plzzz I don’t understand this
20 point question pls help
Answer: y = -1/3x - 1
Step-by-step explanation:
Slope-intercept = y = Mx + b
M = slope
B= y
Help I only got a limited time
Answer:
Red
Step-by-step explanation:
Y intercept is 1
Slope is -2 (line is going down so the slope is negative)
Answer:
the yellow box
Step-by-step explanation:
PLEASEE HELP AND SHOW WORK IF YOU CAN
Answer:
M=54.62
O=59.69
N=65.68
Step-by-step explanation:
M is the smallest, and N is the largest:)
you can use cossincalc . com !!
Twelve waters cost $9. How many can you buy with $3?
Answer:
4 bottles of Water
Step-by-step explanation:
First, we need to find how much each water costs. So, I created this equation below.
9/12=?
The answer to the equation is .75, or 75 cents.
So, we can now make yet another equation to find the amount to buy with 3 dollars.
3/.75=?
The answer to that equation is 4.
Thus, the answer is 4 bottles of water.
I really need help with this.
3(a + b) - 2a - 2b
simplify the algebraic expression
Answer:
a + b
Step-by-step explanation:
3(a + b) - 2a - 2b
open the parenthesis
3 * a + 3 * b - 2a -2b
3a + 3b - 2a - 2b
combine like terms
3a - 2a + 3b - 2b
a + b
QUICK:WILL GET 20 POINTS & BRAINLIEST- Compare and Contrast the incenter and the circumcenter of triangles in detail?
Answer:
A circle inscribed inside a triangle is called the incenter, and has a center called the incenter. A circled drawn outside a triangle is called a circumcircle, and it's center is called the circumcenter.
Step-by-step explanation:
Please help me
Solve the following system of equations and show all work.
Please show all work
Answer:
-1/2 and -1
Step-by-step explanation:
Our system of equations is:
y = 2x²
y = -3x - 1
We can set the y's equal to each other:
y = 2x² = -3x - 1
Now, we have:
2x² = -3x - 1
Move all the terms to one side by adding both sides by 3x and 1:
2x² + 3x + 1 = 0
We must factor this quadratic. Note that the factoring is:
(2x + 1)(x + 1) = 0
Our solutions are now:
2x + 1 = 0 OR x + 1 = 0
x = -1/2 x = -1
.
Thus, our solutions are -1/2 and -1.
8/12- 3/8 show your work with a quation
Answer:
Here's how to subtract 3/8 from 8/12:
8
12
−
3
8
Step 1
We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.
So we multiply 8 by 8, and get 64.
Then we multiply 3 by 12, and get 36.
Next we give both terms new denominators -- 12 × 8 = 96.
So now our fractions look like this:
64
96
−
36
96
Step 2
Since our denominators match, we can subtract the numerators.
64 − 36 = 28
So the answer is:
28
96
Step 3
Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?
To find out, we try dividing it by 2...
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
28
96
÷ 2 =
14
48
Let's try dividing by 2 again...
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
14
48
÷ 2 =
7
24
Let's try dividing by 2 again...
Nope! So now we try the next greatest prime number, 3...
Nope! So now we try the next greatest prime number, 5...
Nope! So now we try the next greatest prime number, 7...
Nope! So now we try the next greatest prime number, 11...
No good. 11 is larger than 7. So we're done reducing.
There you have it! The final answer is: 0.29166666666
What is the difference between 10 x 4 + 5 and 10 x (4 + 5).
Answer:
The difference is that in the first equations you multiply the 10 by 4 first because of PEMDAS rule. But in the second equation you add the 4 and 5 before multiplying. Thats the only difference :D
Step-by-step explanation:
I hope this helps!!!!
Answer:
[tex]10*4+5\\By\ applying\ BODMAS, as\ there\ are\ no\ brackets\ we\ directly\ multiply(M)\ 10\\ with\ 4\ and\ add(A)\ the\ product\ with\ 5.\\[/tex]
[tex]Hence,\\10*4+5\\=40+5\\=45[/tex]
[tex]10*(4+5)\\By\ applying\ BODMAS,\ due\ to\ the\ presence\ of\ the\ brackets\ we\ carry\\the\ operations\ inside\ the\ bracket.\\ Hence,\\10*(4+5)\\=10*9\\=90[/tex]
[tex]See\ the\ difference!![/tex]
A parallelogram has an area of 324 square feet. A circle has the same area. What is the approximate circumference of the circle.
Answer:
63.8ft
Step-by-step explanation:
In ΔHIJ, h = 450 cm, i = 210 cm and j=640 cm. Find the measure of ∠I to the nearest degree.
Answer:
10
Step-by-step explanation:
The measure of an angle∠I is 10 degrees between the 450 cm and 640 cm sides.
What is the Cosine Rule?The Law of Cosines (also called the Cosine Rule) is defined as it relates all three sides of a triangle with an angle of a triangle.
c² = a² + b² − 2ab cos(C)
The cosine rule, also known as the law of cosines, relates all 3 sides of a triangle with an angle of a triangle. it relates the lengths of the sides of a triangle to the cosine of one of its angles.
In the given triangle ΔHIJ,
Sides:
h = 450 m
i = 210 m
j = 640 m
The angle of ∠I is 10 degrees between the 450 cm and 640 cm sides.
According to the cosine rule,
j² = h² + i² − 2ab cos(I)
Substitute the values in the Cosine Rule,
450² = 210² + 640² - 2(210)(640)cos(I)
After solving we get the value of angle ∠I :
∠I = 9.56038°
Rounded to the nearest degree.
∠I = 10°
Thus, the measure of an angle∠I is 10 degrees.
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Write an equation in point slope form for the line that passes through the point with the given slope (-7,-3) m=2
Explain how to find the Great Common Factor.
Find the value of x.
(Reposted)
Answer:
one circle has a total angle of 360. Hence, 360-101= 3x+2+x-35
259=4x-33
292=4x
x=73 degrees
An album sells for $16.00 through an online music service. If the album is 10% off, and sales tax is 8%, what is the total price of the album including tax? A. $15.70 B. $15.68 C. $16.42 D. $15.55
Answer: B. $15.68
Step-by-step explanation:
Given: Selling price of album = $16.00
Discount = 10% off
Sales tax = 8%
Discount = 10% of ( Selling price of album)
= 10% of $16
= 0.1 ($16)
= $1.6
Sales tax = 8% of ( Selling price of album)
= 8% of $16
= 0.08 ($16)
= $ 1.28
Total price of the album including tax = Selling price of album +Sales tax - Discount
= $ 16 + $1.28 - $1.6
= $ 15.68
Hence, B. is the correct option.