Number 1: To find number 1 use hypotenuse theory. 180-(69+31) is the equation. After you solve it you get m<1 as 80.
Number 2: Since you already found m<1 find the other angle across from it.
Equation is: 180-80, which equals to 100.
Then once you have two angles use the theory again: 180-(100+45)=35.
Therefore m<2=35.
Number 3: Still using m<1, 180-100=80. Now you have to angles you get the equation:
180-(80+47), which equals to 53. Therefore m<3=53
Answers: m<1=80; m<2=35; m<3=53
Answer:
1= 80
2= 35
3= 33
Step-by-step explanation:
First start by solving for angle 1. A triangle is always equal to 180 degrees so if you know triangle 1 has an angle equal to 69 degrees and another angle equal to 31 degrees then all you would need to do is add them up (this equals 100) and subtract that sum from 180 to find the difference (it's 80.)
Now that you know angle 1 is equal to 80 you can solve angle 2 and 3. When there are intersecting lines, the angles across from each other are always equal. So, it is safe to assume that the angle across from angle 1 is also 80 degrees. This will help us figure out the other angles in triangles 2 and 3. These four intersecting angles will equal 360, therefore because angle 1 and the angle across from it equal 80 degrees, then what we can do is add up 80+80 (which equals 160) then subtract that from 360 (which equals 200.) Because the two undetermined center angles are equal to each other, we can simply divide 200 by 2 to get 100.
Now that we know that triangle 2 has angles equal to 45 and 100 degrees, and triangle 3 has angles equal to 47 and 100 degrees, we can figure out what angles 2 and 3 are. To find angle 2 we will add 45 and 100 to get 145, then we'll subtract it from 180 like before to get 35. To find angle 3 we will add 47 and 100 to get 147, then we'll subtract it from 180 like before to get 33.
Arman, Babken, and Cecilia decided to compete in a 100m run. When Arman crossed the finish line, Babken was 10m behind him. When Babken crossed the finish line, Cecilia was 10m behind him. How far was Cecilia behind Arman when he crossed the finish line? P.S. The answer is not 20.
Answer:
The answer is 19
Step-by-step explanation:
I am not good at explainig at all and im not sure how to explain but I had this question
Cecilia is 19 m behind the Arman.
Arman, Babken, and Cecilia decided to compete in a 100m run.
When Arman crossed the finish line, Babken was 10m behind him.
When Babken crossed the finish line, Cecilia was 10m behind him.
percentage is the ratio of composition of matter to the overall composition of matter multiplied by 100.
Here,
When Babken is 10m behind the Arman, distance covered by babken is 90 m. Cecilia is 10 m behind when Babken cross the finish line implies Cecilia cover 90% of Babken covered distance.
So Cecilia covers 90% of Babken covered distance when Arman crossed finish line.
As arman crossed finish line Cecilia is at = 90% of run covered by babken,
= 90 * 90/100
= 81
Now, Cecilia behind Arman when he crossed the finish line = 100-81
=19
Thus, Cecilia is 19 m behind the Arman.
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An equilateral triangle has the same perimeter as a square whose side is 12.What is the length of each side of the triangle?
Answer:
Perimeter for rectangle/square is (length + width) x 2
12 + 12 = 24
24 x 2 = 48
So the perimeter is 48
divide 48 by 3 so it is split between 3 sides
48/3=16
so each side has a length of 16
Perimeter for triangle is adding up all the sides together
16 + 16 + 16 = 48 so the perimeter is the same as the square
16 is the answer
Hope this helps
Step-by-step explanation:
Answer:
The side length of the triangle is 16
Step-by-step explanation:
The perimeter of the triangle is
P = 3t since the sides are all equal
The perimeter of the square is
P = 4s since the sides are all equal
We are given the perimeter of the square is 12
P = 4*12
P = 48
We are told the perimeters are equal
48 = 3t
Divide by 3
48/3 = 3t/3
16 =t
The side length of the triangle is 16
Determine the measure of ∠C. answers: 1) 56° 2) 49.5° 3) 77.5° 4) 63.5°
Answer:
2) 49.5°
Step-by-step explanation:
From the above diagram, we are asked to calculate the measure of ∠C.
The formula to be used for this calculation is given as:
∠C = 1/2 (Far Arc - Near Arc)
∠BAD = 127° = Far Arc
∠EAF = 28° = Near Arc
The measure of ∠C = 1/2 (BAD - EAF)
= 1/2 ( 127° - 28°)
= 1/2 × 99°
measure of ∠C = 49.5°
Answer:
49.5
Step-by-step explanation:I took the test
Find the fifth term of the geometric sequence with first term 2 and second term 1/4.
Answer:
0.1875
Step-by-step explanation:
The geometric sequence is going down by 3/4 so just continue it on down
Hope this helps, though put some thought into it
FIND THE LENGTH OF AB !! Helpppp !!!
Determine the measure of ∠DBC. answers: 1) 130° 2) 115° 3) 230° 4) 65°
Answer:
65 degrees
Step-by-step explanation:
65 degrees
it is 65 because of the vector relationship: 30 + 100 = 130. 130/2=65 degrees
Answer:
115
Step-by-step explanation:
The total circle is 360 degrees. The sum of the arcs of the circle is 360
Arc DC = 360 - Arc CB - Arc BC
DC = 360 -30-100
DC =230
Inscribed Angle =1/2 Intercepted Arc
<DBC = 1/2 CD
<DBC = 1/2 (230)
= 115
A box contains five blue for red and three yellow marbles to marbles are randomly drawn and not please what is the probability of drawing a blue then a red marble
What is the length of AC?
3 ft
4 ft
9 ft
18 ft
If a = 4 and b = 7, what is the value of the following expression? 20 ÷ a + 7 • b A. 28 B. 84 C. 54 D. 33
Answer:
54
Step-by-step explanation:
20 ÷ a + 7 • b
Let a = 4 and b = 7
20 ÷ 4 + 7 • 7
Multiply and divide first
5 + 49
Then add
54
Answer:
54
Step-by-step explanation:
20 ÷ a + 7 × b
Plug in the values.
20/4 + 7 × 7
Evaluate
5 + 49
54
Describe the cross-section of the rectangular prism
rectangle
trapezoid
triangle
hexagon
Answer:
The cross-section of the rectangular prism is a:
rectangleStep-by-step explanation:
When you take a cross-section of a rectangular prism, regularly you will obtain a rectangle because this was the base or the two-dimension figure that was used to form the three-dimension figure, in this case, the rectangular prism, the form of obtaining other figure is using how reference the square face, in that case, the cross-section would be a square, this happens because the cross-section is bind with the reference face. Possibly you think the cross-section in the figure doesn´t appear a rectangle, this happens by the perspective because we are looking at the rectangular prism with an inclination of 45°, but if the inclination was 90°, you would see a blue rectangle.
A lake near the Arctic Circle is covered by a 222-meter-thick sheet of ice during the cold winter months. When spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a constant rate. After 333 weeks, the sheet is only 1.251.251, point, 25 meters thick. A Slope and xxx-intercept (Choice B) B Slope and yyy-intercept (Choice C) C Slope and a point that is not an intercept (Choice D, Checked) D xxx-intercept and yyy-intercept (Choice E) E y-intercept and a point that is not an intercept (Choice F) F Two points that are not intercepts
Answer:
S(t) = 2 - 0.25 t
Step-by-step explanation:
i am not explaining :> (me being lazy)
How many different 4-digit numbers can be formed using only digits 1, 2, 3, and 4, given that they contain each of these digits only once?
Answer:
24.
Step-by-step explanation:
To solve this question, you might need to do a little math. So, there are four digits, correct? And they cannot be repeated? Well, you can solve this problem by creating the numbers. Here are the ones I came up with:
1234
1324
1432
1342
1243
1423
See? There are 6. You can do the same with these:
2341
2413
2314
2143
2134
2134
These are only half of the expressions. Hopefully this helps you come up with the rest. Best of luck.
The Marauders fooseball team is improving with each game. The first game they
scored no points, but the second game they scored some goals. In their third game
they scored 8 more points than the second. Now in their last game they scored three
times as many points as their third. Altogether they scored 117 points!!! How many
points did they Marauders score in the third game?
Answer: 25 points
Step-by-step explanation:
From the question, we are told that the Marauders fooseball team is improving with each game and that in the first game theyscored no points, but the second game they scored some goals.
Let the number of points scored in the second game be y.
In their third game, they scored 8 more points than the second. This will be: y + 8.
Now in their last game, they scored three times as many points as their third. This will be:
= 3(y + 8)
= 3y + 24
Altogether they scored 117 points. This means that:
0 + y + y + 8 + 3y + 24 = 117
5y + 32 = 117
5y = 117 - 32
5y = 85
y = 85/5
y = 17
This means that in the second game, they scored 17 points.
Since we are told that in their third game they scored 8 more points than the second. This will be:
= 17 + 8
= 25 points
When Helen jogs, every 20 minutes she checks the total distance she traversed. One day, the first time she checked, Helen had jogged a distance of 2.5 miles, the second time she checked, she had jogged a total distance of 4.8 miles, and the third and final time that she checked, Helen found out that she jogged a total distance of 6.8 miles. What is the difference between her average speeds, in miles per hour, during the first 20 minutes of jogging and the last 20 minutes of jogging?
Find the value of y. ANSWERS:A) 31.116 B) 25.196 C) 15.250 D) 51.410
Answer:
C) 15.250
Step-by-step explanation:
[tex]Hypotenuse = 28\\Adjacent = y\\\alpha = 57\\Using -SOHCAHTOA\\Cos \alpha = \frac{adj}{hyp} \\Cos 57 = \frac{y}{28} \\0.5446 = \frac{y}{28} \\y = 0.5446 \times 28\\y = 15.2488\\y = 15.25[/tex]
True or false. Intersecting chords form a pair of congruent, vertical angles.
Answer:
True
Step-by-step explanation:
A chord of a circle is a straight line segment whose endpoints both lie on the circle.
Vertical Angles are the angles opposite each other when two lines cross.
Any intersecting segments (chords or not) form a pair of congruent, vertical angles.
Divide (x3 − 2x2 − 4) by (x − 3). The remainder is
Answer:
5
Step-by-step explanation:
Students were asked to choose their favorite subject. If 2/10 the students
chose history and 2/10 chose biology, what fraction chose either history or
biology?
Answer:
[tex]\frac{4}{10}[/tex], simplified to [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
[tex]\frac{2}{10}[/tex] + [tex]\frac{2}{10}[/tex] = [tex]\frac{4}{10}[/tex] ÷ [tex]2[/tex] = [tex]\frac{2}{5}[/tex]
PLEASE ANSWER AT LEAST ONE AND IF YOU CAN, ANSWER MORE THAN ONE. THANK YOU!!!!
1. Read the following word problem, then choose which linear equation models the problem.
The sum of the ages of an older sibling and a younger sibling is 16. Four years from now, the of the younger sibling will be the same as the age of the older sibling was two years ago. Find the present age of each sibling.
A. 4x = 14 - x + 16
B. x + 14 - x = 16 + 2
C. x - 4 = 14 + x
D. x + 4 = 14 - x
2. Read the following word problem, then choose which linear equation models the problem.
A rectangular trampoline has an area of 338 square feet. The length of the trampoline is twice it’s width. Find the dimensions of the trampoline.
A. 2w = 338
B. 2w • w = 338
C. 2w + 2w = 338
D. 2(w + w) = 338
3. Read the following word problem, then choose which linear equation models the problem.
The length of a rectangle is six feet more than twice the width. The rectangles perimeter is 84 feet. Find the width and length of the rectangle.
A. 2w + 6 + w = 84
B. 2(2w + 6) + 2w = 84
C. (2w + 6) • (w) = 84
D. 2(2w + 6) • (2w) = 84
4. Read the following word problem, then choose which linear equation models the problem.
In Sunnyvale Park, there are 55 species of birds that migrate. This accounts for one third of all the species of birds sighted in the park. Find the number of species of birds that have been sighted in Sunnyvale Park.
A. 1/3 + x = 55
B. 1/3x = 55
C. 1/3 - x = 55
D. 55 + 1/3 = x
Answer:
Step-by-step explanation:
Answer:
1. B
2.B
3. B
4. B
Step-by-step explanation:
Help with this question(will gove brainlist and thanks)(determine area)
Answer:
The area of a triangle is base * height / 2. In this case that is:
3 * (2x - 4) / 2 = 3 * 2(x - 2) / 2 = 3 * (x - 2) = 3x - 6 in²
Answer:
3x-6 inches^2
Step-by-step explanation:
[tex]A =\frac{ (a \times b)}{2} \\A =\frac{(3(2x-4))}{2} \\A = \frac{(6x -12)}{2} \\\\Area = (3x-6)^2 inches[/tex]
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:
L: y= -4x + 17
Step-by-step explanation:
For a line L to pass through two points, we use the slope formula to calculate the slope, m, where
m = (y2-y1) / (x2-x1)
= (9-1) / (2-4)
= 8 / -2
= -4
Next we use the point slope form to find the line equation:
L: (y-y1) = m (x-x1)
substitute (x1,y1) = (4,1)
L: y-1 = -4 (x-4)
Simplify:
L: y = -4x + 16 + 1
L: y= -4x + 17
Check: substitute (4,1)
y = -4(4)+17 = 1 checks
substitute (2,9)
y = -4(2)+17 = 9 checks
so
L: y= -4x + 17
Answer:
y is equal to 5 and x is equal to 11
Write a math express for each verbal expression.
1.) The sum of 12 and x
2.) The product of 25 and p
3.) 24 increased by twice a number z
4.) The quotient of a number x and 4
5.) 6 less than a number x
6.) One-half of n squared
Answer:
1.) The sum of 12 and x 12 + x or x + 12
2.) The product of 25 and p 25 × p or 25p
3.) 24 increased by twice a number z 24 + 2z or 2z + 24
4.) The quotient of a number x and 4 x ÷ 4 . or x/4
5.) 6 less than a number x x - 6
6.) One-half of n squared n² ÷ 2 or n²/2
Step-by-step explanation: In most cases, the first expression uses symbols that are commonly used in arithmetic or elementary math. As you advance into Algebra, the ÷ and × are rarely used in favor of / or fraction form like [tex]\frac{x}{4}[/tex] and [tex]\frac{x^{2} }{2}[/tex] for division. Parentheses replace × for multiplication, for example (25)(p)=25p to avoid confusion with x, commonly used as an unknown or variable.
How many faces does a solid with 14 vertices and 21 edges have?' a.) 21 b.) 18 c.) 9 d.) 11
Answer: (C) 9
Step-by-step explanation:
F+V-E = 2
F + 14 - 21 = 2
F = 9
There are three times as many fiction books as non-fiction books in a library. 122 fiction books and 24 non-fiction books are loaned out. There are now twice as many non-fiction books as fiction books. How many books were in the library?
Answer:170
Step-by-step explanation:
122+24+24=170
Which letter comes next? F H K N Z ? Choose from: L M T Y
Answer:
t
Step-by-step explanation:
The letter that comes next in the given sequence is K.
The given sequence is F H K N Z.
We need to find which letter comes next in the given sequence.
What is the pattern followed in the given sequence?The pattern followed by the given sequence is they are letters of sounding board consonants.
Therefore, the letter that comes next in the given sequence is K.
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write the inequality shown by the shaded region in the graph with the boundary line y=x-2
Answer:
y ≥ x - 2
Step-by-step explanation:
I'm pretty sure this will be the answer, a thanks a rating of a 5 star would be helpful :)
The inequality shown by the shaded region in the graph with the boundary line y = x-2 is y ≥ x - 2
What is inequality?An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
Given is an inequality, with the boundary line y = x-2
A solid line, and the shaded part is above the line.
y ≥ x - 2
Hence, The inequality shown by the shaded region in the graph with the boundary line y = x-2 is y ≥ x - 2
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ABC is an equilateral triangle. Find the angle of rotation that maps A to C. (A.) 360 (B.) 240 (C.) 0
Answer:
B. 240
Step-by-step explanation:
We are given an equilateral triangle. By definition, each angle of this triangle is equal to 60 degrees and the sides are all congruent.
We would like to rotate the triangle clockwise so that A maps exactly onto C. Since the internal angles are 60 degrees, when we turn the triangle one time to the right so that B is now at the top, we have rotated the entire figure 60 degrees.
Already, A is actually on C; however, none of the answer choices matches 60 degrees, so we realise that we want a multiple of 60 that will still ensure our triangle maps A to C. We notice that if we rotate the triangle three more times after that first rotation (so that's another 60 degrees, 60 degrees, and 60 degrees), we will obtain a position that is exactly what we want: A is on C!
Thus, the number of angles is 60 + 60 + 60 + 60 = 240.
The answer is B.
~ an aesthetics lover
Answer:
240
Step-by-step explanation:
Since this is an equilateral triangle, we can divide the circle into 3 pieces and the figure will look the same
360/3 = 120
Every rotation of 120, and the figure is identical
120, 240 ,360 will give an identical figure
Since we need to move point A to C we can move it 240 counterclockwise and point A will be at point C
PLEASE HELP For what value of the variable will the value of 2x+1 be 20 greater than 8x+5?
It will be a negative.
for an example: -20 for x would mqke 2x + 1 into -39 and 8x + 5 into -155. that's 116 apart, so maybe -2(8) + 5 = -11
-2(2) + 1 = -3
but that's only 8 apart, so it'd be higher.
-4(2) + 1 = -7
-4(8) + 5 = -27
BOOM
Tadaaaa,
You probably thought positive, but sometimes it's negative, you know what I mean?
Triangle ABC is an isosceles triangle in which side AB = AC. What is the perimeter of triangle ABC? 5 + StartRoot 10 EndRoot units 10 + StartRoot 10 EndRoot units 10 StartRoot 10 EndRoot units 50 units
Answer:
Option (2)
Step-by-step explanation:
This question is incomplete; find the picture attached which makes this question complete.
Vertices of the given triangle are A(-2, -4), B(2, -1) and C(3, -4).
Length of AB = [tex]\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]
AB = [tex]\sqrt{(2+2)^2+(-1+4)^2}[/tex]
= [tex]\sqrt{16+9}[/tex]
= 5 units
Since AB = AC
AC = 5 units
Similarly, BC = [tex]\sqrt{(3-2)^2+(-4+1)^2}[/tex]
BC = [tex]\sqrt{10}[/tex] units
Therefore, perimeter of the given triangle = AB + AC + BC
= 5 + 5 + √10
= (10 + √10) units
Option (2) will be the answer.
Answer:
b
Step-by-step explanation:
* ANSWER PLS TY!! * Find the surface area of this cone.
Answer:
[tex]200 \: \pi[/tex]Step-by-step explanation:
Given,
R = 8 m
H = 15 m
Slant height :
[tex] = \sqrt{ {r}^{2} + {h}^{2} } [/tex]
[tex] = \sqrt{ {(8)}^{2} + {(15)}^{2} } [/tex]
[tex] = \sqrt{64 + 225} [/tex]
[tex] = \sqrt{289} [/tex]
[tex] = \sqrt{ {(17)}^{2} } [/tex]
[tex] = 17 \: m[/tex]
Now, Finding the surface area of the cone:
[tex]\pi \: r(r + s)[/tex]
Plugging the values:
[tex] = \pi \: \times 8(8 + 17)[/tex]
[tex] = 8\pi \: \times 25[/tex]
[tex] = 200 \: \pi[/tex]
Hope this helps...
Good luck on your assignment...