Geometry
C would be the answer because the angles added up together is 180 degrees, meaning that this is a three-way supplementary angle.
The required expression that represents a correct solution for the angle problem given in the figure is 3x + 80° + 2x = 180°. Option C is correct.
Given that,
A figure is shown, Describing the proportion of angle.
A solution-giving equation is to be determined.
The angle can be defined as the one line inclined over another line.
What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Since In the figure, we have seen three proportions of the angle.
Now the sum of the angle on the is 180, So,
3x +80 +2x = 180 - - - - (1)
The above equation is the required expression for the figure
and the solution is,m
5x +80 = 180
5x = 180 - 80
x = 100 / 5
x = 20
now
2x = 2 * 20 = 40 ; 3x = 3*20 = 60
When putting the above values in equation 1 we get
180 = 180,
Thus, the required expression that represents a correct solution for the angle problem given in the figure is 3x + 80° + 2x = 180°. Option C is correct.
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What is the slope of the line that contains the points (-2,7) and (2,3)?
calculate the area of the rectangle with length 9cm and breadth 4cm
Answer:
36cm^2
Step-by-step explanation:
the answer is
area of rectangle =l×b
=9×4.
=32
Can anyone help me solve this circle?
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Explanation:
Focus on triangle OCT. We can see that the triangle is isosceles because OT = OC are two radii of the same circle. That consequently means angles T and C are the congruent base angles (rotate the triangle to see what I mean). The base angles are opposite the congruent sides.
Since base angle C is 35 degrees, that makes base angle T this measure as well.
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We just found angle CTO is 35 degrees. Angle PTO is supplementary to this, so it is 180-35 = 145 degrees.
Now focus solely on quadrilateral PTOQ. The goal is to find angle O, aka angle QOT. We found angle T in the paragraph above and it's 145 degrees. Angle Q is 90 degrees assuming segment PR is tangent to the circle at point Q.
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Recall that for any quadrilateral, the interior angles always add to 360
let x be the measure of angle O, aka angle QOT
P+T+O+Q = 360
60+145+x+90 = 360
x+295 = 360
x = 360-295
x = 65
Therefore, angle QOT is 65 degrees
Which equation could be used to find the length of the hypotenuse?
Triangle A B C. Side A C is 5 centimeters and side C B is 8 centimeters. Hypotenuse A B is labeled c.
5 squared + 8 squared = c squared
5 squared + c squared = 8 squared
c squared minus 5 squared = 8 squared
8 squared minus 5 squared = c squared
Answer:
AC^2+BC^2= AB^2
So 5^2+8^2=c^2
5 squared + 8 squared = c squared
Please mark me as brainliest.
Suzie's Slushes has increasing profits each week during the hot summer months. Suzie finds that each week during the summer her profits increase by 30% over what they were the previous week. In her first week of business, her profits were $300.
How much money will she make in all over 4 weeks?
Enter your answer, rounded to the nearest cent, in the box.
HELP FAST PLEASE
Answer: 1856.10
Step-by-step explanation:
Suzie will make $1856 in 4 weeks.
Suzie will make a profit of:The first week 300
The second week: 300 x 30% + 300 = 390
The third week: 390x (1430%) = 507
The fourth week: 507 × (1430%) = 659.1
So Sum to: 300 +390 +507 +659.1 = 1856.1
Profit is $1856.
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(please Explain each step)
the question is on the image.
d= distance travelled = 6 km
P= 5d²+270
= 5(6)²+270
=5 ×36 +270
= 180+ 270
= 450
Taxi fare = 450 pence
Express sin P as a fraction in simplest terms.
Answer:
1/15
Step-by-step explanation:
sin P = ON/PN = 2/30 = 1/15
Two lines are intersecting. What is the value of x? Enter your answer in the box. Two straight lines intersecting each other where the consecutive angles formed are x plus twenty three degrees and two x plus four degrees.
Answer:
x = 51
Step-by-step explanation:
Supplementary angles total 180º
(2x + 4) + (x + 23) = 180
Combine like terms
3x + 27 = 180
Subtract 27 from both sides
3x = 153
Divide both sides by 3
x = 51
Answer:
Hello! x = 51
Step-by-step explanation:
OMG I CAN ANSWER FINALLY!
it is forming a supplementary angle meaning it will add up to 180 degrees
51 × 2 = 102 102 + 4 = 106
51 + 23 = 74
106 + 74 = 180 therefore x = 51 Hope that helps.
You are playing darts with your friends. You get 10 points for bullseye-yellow, 5 for red, 3 for purple, and one for black. You throw 2 darts. Make a list to show all the possible scores you could get.
Answer:
10 and 10
10 and 5
10 and 3
5 and 3
3 and 5
Step-by-step explanation:
Triangle EFG is congruent to triangle YXZ by ASA. The congruent parts already marked in the picture. What other corresponding parts can be marked congruent by CPCTC? Select all that apply.
EG ≅ YX
∠F ≅ ∠X
∠E ≅ ∠G
∠F ≅ ∠Z
∠G ≅ ∠X
GF ≅ ZX
EF ≅ YX
EF ≅ ZY
Given:
Triangle EFG is congruent to triangle YXZ by ASA.
To find:
The other corresponding parts can be marked congruent by CPCTC.
Solution:
We have,
[tex]\Delta EFG\cong \Delta YXZ[/tex]
We know that the corresponding parts of congruent triangles are congregant (CPCTC). So,
[tex]\angle E\cong \angle Y[/tex]
[tex]\angle F\cong \angle X[/tex]
[tex]\angle G\cong \angle Z[/tex]
[tex]EF\cong YX[/tex], it is also written as [tex]FE\cong XY[/tex]
[tex]FG\cong XZ[/tex], it is also written as [tex]GF\cong ZX[/tex]
[tex]EG\cong YZ[/tex], it is also written as [tex]GE\cong ZY[/tex]
Therefore, the correct options are 2, 6 and 7.
PLEASE HELP GIVING BRAINLIEST I NEED THIS ANSWER TO GRADUATE
Answer:
area = 2.28
Step-by-step explanation:
area of triangle is 1/2*b*h
area = (1/2)*3.8*1.2
area = 2.28
Answer:
2.28
Step-by-step explanation:
Area of triangle =(base*height)/2
And base=1.2 cm
Height=38 mm ( change it to cm as they need the answer in square cm) which is 3.8 cm
So (1.2*3.8)/2=2.28
PLEASE HELP ASAP - ILL GIVE BRAINIEST
Find the measure of angle 2 if the measure of angle 8 is 40
degrees.
Answer:
what is the shape?
Step-by-step explanation:
like is a square triangle or what ? show us a picture
PLZZZZZ HELP ME ANYONE PLEASE HELP ME :(! Marcus has a box that is 4 1/2 feet long, 1/2 foot wide, and 2 feet high. What is the volume of the box?
Answer:
4.5
Step-by-step explanation:
That is the question below!
Answer:
Step-by-step explanation:
Dhehekej
find square root of 4489 by division method.
plz answer correctly this question is maths question of my summer homework.
Answer:
The square root of 4489 is:
67Step-by-step explanation:
To find the square root by división method you must do the next:
1. you write the square root:
[tex]\sqrt{4489}[/tex]
2. You separe the number inside the square root in groups of two digits, begining by the right (in this case doesn't matter, because we have 4 digits, but remember this when the number has an odd number of digits):
√44 89
3. You must find a whole number which squaring gives us a number equal to or less than our first pair of digits (44), in this case is 6, because 6*6 = 36 and, if we take 7, 7*7 = 49 (we would pass):
√44 89 ║6
4. Now, we subtract the squaring of the number obtained to our first pair of digits:
√44 89 ║6
-36
= 8
5. We duplicate the root obtained (6) and we lower the next pair of digits next to the result of the previous subtraction, but this time we make pairs of digits from the left:
√44 89 ║6
-36 ║12
= 88 9
6. We divide 88 (our pair of digits) in 12 (the double of the obtained root):
88 ÷ 12 = 7.3333333 (we approximate to 7)
7. We put the number obtained in the division (7) to the right side of the double of the obtained root (12) and we multiply by this too:
√44 89 ║6
-36 ║127 * 7 = 889
= 88 9
8. we subtract the number obtained in the multiplication to the digits we order in pairs (889):
√44 89 ║6
-36 ║127 * 7 = 889
= 88 9
- 889
= 0
9. We raise the number that we multiply by twice the previous root found, as another digit of the root:
√44 89 ║67
-36 ║127 * 7 = 889
= 88 9
- 889
= 0
As you can see, the square root of 4489 with this method gave us the result 67.
What is 20.1246117975 in Radical form
One half of a melon was shared equally among 3 people. What fraction of the whole melon did each person get? explain
Answer:
1/2
Step-by-step explanation:
Given data
Total melon= 1 1/2
In simple fraction= 3/2
DIvide 3/2 by 2
= 3/2/3
=3/2 * 1/3
=3/6
= 1/2
Hence each person will get 1/2 of the whole water melon
Solve the following equations:
a)
4b = 20
Answer:
b = 5
Step-by-step explanation:
You want to get b on one side alone so you divide by 4.
20 divided by 4 is 5.
Answer:
b = 5
Step-by-step explanation:
4b = 20
Whatever we do to one side of the equation, we have to do to the other.
To "isolate the variable", or get "b" by itself, we have to divide both sides by 4
4b divided by 4 is b, since "4b = 4 times b"
20 divided by 4 is 5
4b = 20
b = 5
Which line intersects the parabola y = x^2 + 6x-2 at two points?
A. y = 6x - 4
B. y = 6x - 3
C. y= 6x – 2
D. y = 6x - 1
Answer:
C
Step-by-step explanation:
You find y-intercept x=0
Which could be the first step in solving the equation represented by the model below?
X X X x
II
O Add 4 negative unit tiles to both sides.
O Add 4 negative unit tiles to the left side, and add 6 negative unit tiles to the right side.
O Add 4 positive unit tiles to both sides.
O Add 6 negative unit tiles to the left side, and add 4 negative unit tiles to the right side.
35% of customers at a clothing store spend at least $20 per visit. Yesterday, 143 spent at least $20. Predict the number of customers who came to the store yesterday.
Answer:do 142 times 20 which is 2840 times 0.35 which is 994 I think not sure
Step-by-step explanation:
Answer:
Total number of customers = 143/35% = 409 approximately
Step-by-step explanation:
If the trend did not change yesterday, we estimate that 143 customers constitute 35% of the total number.
So
Total number of customers = 143/35% = 409 approximately
Which of the following options have the same value as 2% of 90? Choose 2 answers: А 0.2.90 B 0.02.90 200.90 2.90 E 2 . 90 100
Answer:
0.02.90 and 2.90
Step-by-step explanation:
2% of 90 equal to both 0.02.90 because are worth same.
The difference of the square of a number and 18 is equal to 3 times that number. Find the positive solution.
Answer: x=6 or x=-3
Step-by-step explanation:
x^2-18=3x
x^2-3x-18=0
(x-6)*(x+3)=0
x-6=0 x+3=0
x=6 x=-3
Consider a function that describes how a particular car gas mileage depends on its speed. What would appropriate domain for this function?
A. 0 to 100 per hour
B. 0 to 50 miles per gallon
C. Times from 0 to 10 minutes
D. Times from -10 to 10 minutes
Answer: A. 0 to 100 per hour
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Explanation:
The phrasing "Depends on its speed" tells us that the speed is the independent variable, and therefore it's the x variable.
The domain is the set of allowed x values of a function, or allowed inputs. In this case, it appears the car's max speed is 100 mph.
Answer:
0 to 100 miles per hour
Find the measure of arc ABC.
Answer:
Step-by-step explanation:
The angle (angle D) created by 2 tangents to a circle (DC and DA) is half of the difference between its intercepted arcs (arc ABC - arc AC):
[tex]65=\frac{1}{2}(x-[360-x])[/tex] If we don't know the measures of either of the arcs, but we DO know that the measure around the outside of a circle is 360 degrees, then we will call arc ABC "x", making arc AC "360 - x". Solving:
2(65) = 2x - 360 and
130 = 2x - 360 and
130 + 360 = 2x and
490 = 2x so
x = 245. This means that arc ABC is 245 and arc AC is 115.
A line is perpendicular to y=3x-8 and intersects the point (6,1). How can we find the slope of this perpendicular line?
Answer:
- [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x - 8 ← is in slope- intercept form
with slope m = 3
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{3}[/tex] ← slope of perpendicular line
Answer:
The Answer is B: We must find the opposite reciprocal of the slope of the line whose equation we were given.
Step-by-step explanation:
I have the same exact question and I also do acellus.
Between which two integers does -√46 appear on the number line please write in words
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Explanation:
List out the perfect squares
1^2 = 12^2 = 43^3 = 94^2 = 165^2 = 256^2 = 367^2 = 498^2 = 64and so on. We can see that 46 is between 6^2 = 36 and 7^2 = 49.
We can say 6^2 < 46 < 7^2
Applying the square root to all three sides leads us to 6 < sqrt(46) < 7
Now multiply all three sides by -1. This will flip the inequality signs
We go from
6 < sqrt(46) < 7
to
-6 > -sqrt(46) > -7
It might help to order things from smallest to largest to get this
-7 < -sqrt(46) < -6
This means -sqrt(46) is between -7 and -6 on the number line
See the diagram below.
Answer:
Step-by-step explanation:
First notice that -√46 lies between -√49 and -√36, that is, between
-7 and -6.
Here all three numbers are negative because they lie to the left of zero (0) on the number line.
A rectangular solid with a square base has a volume of 4096 cubic inches - determine the dimensions that yield the minimum surface area
Answer:
side of base, a = 10.1 inches, height, h = 40.1 inches
Step-by-step explanation:
Volume of rectangular solid, V = 4096 cubic inches
Let the side of base is a and the height is h.
[tex]V = a^2h\\\\4096 = a^2 h ..... (1)[/tex]
surface area of the solid
[tex]S = 2a^2 + 4 ah \\\\S = 2a^2 + 4 \times a \times \frac{4096}{a^2} from (1)\\\S = 2a^2 + \frac{4096}{a}\\\\\frac{dS}{da}= 4 a - \frac{4096}{a^2}\\\\4 a - \frac{4096}{a^2} = 0 \\\\a^3 = 1024\\\\a =10.1 inches[/tex]
So, h = 40.2 inches
Greatest common factor for 16uv^8 and 28u^7v^2y^3
Answer: 3
Step-by-step explanation:
I think…