∠1 and ∠2 are vertical angles. ∠2 has a measure of 63°.
What is the measure of ∠1 ?
Enter your answer in the box.
Answers
So, if m∠1 = 63°, then m∠2 = 63°.
Vertical angles are formed when two lines intersect. The measure of the ∠1 when ∠1 and ∠2 are vertical angles is 63°.
What are vertical angles?Vertical angles are a pair of angles formed when two lines intersect each other, these angles are always opposite to each other and measure the same.
We know about the vertical angles, therefore, if the pair of angles ∠1 and ∠2 are vertical angles, then the measure of the two angles is equal.
Now, as it is given that the measure of the ∠2 is 63° and ∠1 and ∠2, therefore,
∠1 = ∠2 = 63°
Hence, the measure of the ∠1 when ∠1 and ∠2 are vertical angles is 63°.
Learn more about Vertical angles:
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Related Questions
In this box-and-whisker plot, what is the maximum value of the data?
53
56
60
68
Answers
answer is 68
Serena is making a model of one of the Egyptian pyramids. The square base has sides that are all 4.4 in. Each of the triangular faces has a base of 4.4 in and a height of 3.8 in. How much paper would it take to cover the entire pyramid?
A.
73.57 sq in
B.
82.78 sq in
C.
52.8 sq in
D.
12.6 sq in
Answers
Area of a Square: Length x Width
A = 4.4 x 4.4
A = 19.36
Area of a Triangle: [tex] \frac{Base x Height}{2} [/tex]
A = 4.4 x 3.8 ÷ 2
A = 8.36
** We have 4 triangles, and 8.36 is the area for ONE triangle. We can multiply this by 4 to determine the area of all of the triangles together.
8.36 x 4 = 33.44
Now that we have our area for the base of the pyramid and the walls of the pyramid, we can add them together to determine the total area, and how much paper Serena will need.
19.36 + 33.44 = 52.8
So, Serena will need 52.8 [tex] in^{2} [/tex] of paper to cover the entire pyramid.
How many gallons of an herbicide are needed for 310 acres of corn if 1.4 liters per acre are applied?
Answers
because 310 multiply by 1.4 = 434
what is 4/5 * 2
[tex] \frac{4}5 \times 2 [/tex]
Answers
---- x ---- = ---- = 1 3/5 or [tex]1 \frac{3}{5} [/tex] or 1.6
5 1 5
4/5+4/5= 1 so far. We now know that we have a whole number.
So then, we subtract 1 from the next fraction. So then, we would then do 1+3/5.
Remember that we took 0.1 from the other fraction.
Therefore, your correct answer would then be (1) 3/5
I hope this helps you!
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LAME ANSWERS WILL BE REPORTED
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Suppose you want to buy a bike. The prices are $119, $139, $149, $179, $189, $199, and $209. You want the bike that costs $189. Should you use mean, median, or mode to convince your parents? Explain.
Answers
119 + 139 + 149 + 179 + 189 + 199 + 209 = 1183
1183/7 (for the amount you added) = 169
For median:
119, 139, 149, 179, 189, 199, 209.
Find the middle number: 179 (is your median)
For mode:
119, 139, 149, 179, 189, 199, 209
Find the number that shows up the most: N/A (they all only show up once)
I believe Median will be your best choice (it has the closest answer to 189)
hope this helps
The median would be your best bet at convincing your parents to get you a new bike for $189 because the median which is $179 is the closest value to the one you want.
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A storage room measures 48 inches by 60 inches.what is the total area in square feet of the closet?
Answers
2880 / 12 = 240
the circumfrence of a circle is 11 pie inches. what is he the area, in square inches, of the circle? Express your answer in terms of PIE
Answers
Since C=2pi*r, and C=11 inches, r=(11 inches)/(2pi), or
r^2 = (121 sq in)/(2pi)
Then the area of this circle is A = pi*r^2, or pi*(121 sq in)/(4pi^2). Reduce this and you will then have the area correct. Its units of measurement are (inches)^2.
4a - 4( 15a - 2) - 8
Answers
The problem to solve: 4a - 4(15a - 2) - 8
The first thing to do is to apply the Distributive Property, which is: a(b + c) = ab + ac.
Here we have: -4(15a - 2). We must multiply -4 by 15a and -2. Let's do it.
4a - 4(15a - 2) - 8
4a - 60a + 8 - 8
Now we can go ahead and combine like terms; add the constants and add the a-terms. 4a minus 60a is equal to negative 56a. 8 minus 8 is zero, so the 8's cancel out, and we're left with:
-56a
That's your answer! I hope this helps you. (:
In order to simplify this expression (notice how it's an expression and not an equation because it's not set equal to something) we can use addition and subtraction, and the distributive property which is defined as:
a(b+c) = ab + ac
Using this property, we can simplify this expression to:
4a - 60a + 8 - 8
Notice how -4(-2) was positive 8.
Simplify "a" terms:
-56a + 8 - 8
Since it's +8 - 8, the 8's cancel out.
Therefore, we just have -56a.
Hope this helps!
Can ratios have decimals in them or do all the numbers have to be integers? E.g. is 7.8:1.3:6.5 a valid ratio?
Answers
78:13:65
It also depends on what your teacher is asking of you.
Final answer:
Yes, ratios can include decimals. They can represent quantities in numerous contexts such as scale distances, dimensions, and proportions. The ratio 7.8:1.3:6.5 is, therefore, a valid expression.
Explanation:
Ratios can indeed include decimals in them; they do not need to be limited to integers. Ratios are a way to compare two or more quantities, which can be whole numbers, fractions, or decimals. Just as fractions, ratios express the relationship between parts of a whole or between two quantities in a specific order. For example, the ratio 7.8:1.3:6.5 is valid and represents the relative quantities of three different entities. In many contexts, such as in scale distances or dimensions, the use of decimal ratios is quite common. When dealing with scale factor to find actual dimensions, the ratio could also include decimals, as it compares the scale dimensions to actual dimensions of an object or distance. For example, on a map with a unit scale of 1 inch equals 100 feet, the ratio would be written as 1/100 or in decimal form, 0.01/1.
A bicyclist heads east at 10km/h. After she has traveled 24.2 kilometers, another cyclist sets out in the same direction going 30km/h. About how long will it take the second cyclist to catch up to the first cyclist?
Answers
[tex]t= \frac{24.2}{10} [/tex]
[tex]t=2.42[/tex]
So, we know that she has traveled for 2.42 hours.
We also know that after she has traveled for 2.42 hours another cyclist sets out in the same direction, so if [tex]t[/tex] represents the time of our first cyclist, the time of our second cyclist will be [tex]t-2.42[/tex].
Now we are going to use the equation [tex]distance=(speed)(time)[/tex] to relate the speeds and times of the two cyclist:
For the first one:
[tex]distance=10t[/tex] equation (1)
For the second one:
[tex]distance=30(t-2.42)[/tex] equation (2)
Replace (1) in (2)
[tex]10t=30(t-2.42)[/tex]
The only thing left now is solve for [tex]t[/tex]:
[tex]10t=30t-72.6[/tex]
[tex]-20t=-72.6[/tex]
[tex]t= \frac{-72.6}{-20} [/tex]
[tex]t=3.63[/tex]
We can conclude that the second cyclist will catch up the first cyclist after 3.63 hours.
The center on a target has a diameter of 5 inches. The whole target has a diameter of 25 inches. The center of the target takes up ____% of the whole target
Answers
To find the percentage, first find the area of both circles. The area formula is [tex] \pi r^{2} [/tex] . After finding the area of the center of the target (19.625) and the area of the large target (490.625), set up a percent proportion to determine the percentage that the center takes up:
[tex] \frac{is}{of} = \frac{percent}{100} [/tex]
[tex] \frac{19.625}{490.625} = \frac{percent}{100} [/tex]
Cross multiplying and dividing by 490.625 will give a total of 4%.
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Quadrilateral ABCD is inscribed in this circle.
What is the measure of angle B?
Enter your answer in the box.
m∠B=
°
Answers
one-half of a number increased by 16 is 4 less than two-thirds of the number what is the number.
Answers
Katie painted a wall in her bedroom that is 10.5 feet tall and 23.5 feet wide shoes exactly 3 quarts of paint to cover the wall how many square feet will 1 quart of paint cover
Answers
Write this number in standard form.
one and four tenths
Answers
[tex]1.4 \: or \: 1 \frac{4}{10} [/tex]
There are 80 members of the show choir. For a fund raiser 95% of the members raised money, how many members did NOT raise money. PLEASE HELP PLEASE
Answers
If 95% raised money, 5% did not raise money.
0.05 x 80 = 4 members did not raise money
Explain how you can compare the size of a product to the size of a factor when multiplying fractions without actually doing multiplication including model
Answers
Imagine, if you had half a pizza and you ate one-half of that. You would multiply 1/2 by 1/2 and get an even smaller number. The result would be 1/4.
On the other hand, if you multiply a number by a mixed number that is larger than one, the result would be larger than when you started.
The Comparison size of product and factors is shown below.
What are factors?A factor is a number that completely divides another number. To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them.
For example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 exactly and 12 ÷ 6 = 2 exactly.
A fraction less than one will result in a smaller product than the initial fraction when multiplied by a number.
Imagine that you only ate half of the pizza you ordered.
You would get a smaller value if you multiplied 1/2 by 1/2. It would come out to 1/4.
On the other hand, the outcome would be more than the starting value if you multiplied a number by a mixed number that is greater than one.
Learn more about factors here:
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Solve for x.
cx + ax = b
A) b/(c + a)
B) (-b)/(c + a)
C) b - c - a
D) b + c + a
Answers
Hope this helps
Regular triangular pyramid has the slant height k=12 cm and lateral area AL = 198 cm2. Find the length of the base edge.
Answers
A = 1/2 bh
198 = 1/2 x b x 12
198 = 6b
b = 33 cm
We know the total area and we know the slant height is 12 cm so we substitute these in and solve for h.
The length of the base edge is 33 cm. You should substitute this back in to check.
1/2 x 33 x 12 = 198 square cm.
Answer:
The Answer is: 11 cm
When Mr. Krumm purchased a tie he paid $9.27, which included the 3% sales tax. How many dollars did the tie cost before the tax was included?
Answers
103% = 9.27
To find the price before tax, we need to find 100% of the price.
103% = 9.27
1% = 0.09
100% = 0.09 x 100 = $9
The price before tax is $9.
I hope this helps :)
The bar graph shows the number of dinner reservations at a restaurant for one week. What percent of the reservations were for Friday or Saturday? Monday 15 Tuesday 5 Wednesday 10 Thursday 25 Friday 40 Saturday 30 Sunday 35
Answers
Friday plus Saturday : 40 + 30 = 70
70 ÷ 160 = 0.4375
43.75 %
what is 3yr 4mo-1yr 11mo
Answers
CONVERT BOTH TO MONTHS
(3 yrs * 12 mos/yr) + 4 mos = 40 mos
(1yr * 12 mos/yr) + 11 mos = 23
SUBTRACT MONTHS
40 mos - 23 mos= 17 mos
DIVIDE TO FIND # YEARS/MONTHS
17 mos ÷ 12 mos/yr= 1 year 5 months
ANSWER: 1 year 5 months
Hope this helps! :)
Andrew plays football.On one play,he ran the ball 24 1/3 yards.The following play,he was tackled and lost 3 2/3 yards.The next play,he ran for 5 1/4 yards.Estimate how much farther the ball is down the field after these three plays.Round each mixed numbers to the nearest whole number
Answers
Answer: Yes, the team made the third yard goal.
Step-by-step explanation:
I‘m not explaining it to you kid so just copy it from the picture.
I would have explained it to ya but the page refreshed when I took the picture in the camera app and cropped it. It’s the one with the circle around the number of the question and if you can’t figure that out, your just plain stupd
find the area of a triangle with 4 yd and 8 yd
Answers
The formula for finding the area of a triangle is:
a = [tex] \frac{1}{2} [/tex] lh
Where l is the length of the triangle and h is the height.
So the formula would be a = [tex] \frac{1}{2} [/tex] 4*8 which equals 16!
Well you have to add
+8 which makes 12 so add 12 and you get 24
What is 1,000 less than 1,416
Answers
Solved by subtracting 1,000 by 1,416
What does 60 inches equal
Answers
Please provide work with your answer pls, 20 point question
Answers
The number 1000 would be side b
Tanx = 350/1000
x = 19
19 is your answer
the function f(x) varies inversely with x and f(x) = 0.9 when x = 0.5 what is f(x) when x = 1.5 ?
a. 0.02
b. 0.03
c. 0.3
d.0.75
PLEASE HELP ME I WILL MARK BRAINLIEST!!!!!!!!!!!!!
Answers
When x = 1.5, the answer is 1.35
You're welcome :)
Answer:
the answer is 0.3
Step-by-step explanation:
which answer choice shows an expression meaning a number plus 13? A)x-13 B)13x C)x+13 D)x÷13
Answers
x plus 13 = x + 13
------------------------------------
Answer: x + 13 (Answer C)
------------------------------------
"number plus 13" = x + 13
Answer is C).
A rectangular piece of poster board measurea 60 centimeters by 80 centimeters. Linn draws the net of a box on the poster board and cuts it out. If the box measures 10 centimeters by 16 centimeters by 27 centimeters, what is the area of the poster board left....
Plz help me....
thank you
Answers
4(16*27)=4*432=1728 cm squared
add 320+1728= 2048 cm squared
Finally, to find the area of the left poster board you have to subtract the area of the rectangle which is 4800 cm squared by the area of the box which is 2048 cm squared so 4800-2048=2752 cm squared