Answer:
arc BC = 26°
arc AB = 90°
arc CAB = 334°
Step-by-step explanation:
The angles of a linear pair total 180°. This fact lets us write an equation for x that helps us find the measures of all the angles and arcs. The arcs of a circle total 360°.
__
equation∠APE +∠EPD = 180°
(25x +15)° +(33x -9)° = 180°
58x = 174 . . . . . . divide by °, subtract 6
x = 3 . . . . . . . . divide by 58
anglesAngle APE is ...
∠APE = (25x +15)° = (25·3 +15)° = 90°
Then ...
∠EPD = 180° -90° = 90°
∠DPC = (20·3 +4)° = 64°
∠CPB = 90° -64° = 26°
arcsarc BC = ∠BPC = 26°
arc AB = ∠APB = 180° -90° = 90°
arc CAB = 360° -arc AB = 334°
Which causal relationship is justifiable?
Only (c) makes sense. The game draws people, which in turn means more cars and heavier traffic in the surrounding area.
Assignment
What are the solutions of 3(x-4)(2x-3) = 0?
Answer:
Look at the photo and goodluck
I need help asap, if u can help me with other questions after this I’ll give u 50+ points
Answer:
C. 31 [tex]\frac{1}{6}[/tex]
Step-by-step explanation:
1. Convert mixed numbers into improper fractions:
[tex]\frac{29}{4}[/tex] · 2² + ( [tex]\frac{17}{2}[/tex] - 2) ÷ 3
2. Calculate within the parenthesis:
[tex]\frac{29}{4}[/tex] · 2² + [tex]\frac{13}{2}[/tex] ÷ 3
3. Calculate the exponent:
[tex]\frac{29}{4}[/tex] · 4 + [tex]\frac{13}{2}[/tex] ÷ 3
4. Multiply and divide (left to right):
29 + [tex]\frac{13}{2}[/tex] ÷ 3
29 + [tex]\frac{13}{6}[/tex]
5. Add:
[tex]\frac{187}{6}[/tex]
6. Convert the improper fraction to a mixed number:
= 31 [tex]\frac{1}{6}[/tex]
hope this helps!
Is the sequence arithmetic? If so, identify the common difference.
11, 15, 19, 23, ...
Mitchel is part of the track team at his high school. He ran the first 4 kilometers of a race in 30 minutes. How many kilometers did Mitchel run in 1 hour if his speed stayed the same?
Answer:
8 kilometers in one hour
Step-by-step explanation:
4:30/4
30 [tex]divided[/tex] by 4
7.5
4 divided by 4
1
7.5 minutes to 1 kilometer
since there are 60 minutes in a hour
60/7.5 = 8
8 x 1 = 8
What is the area of the square below?
2.4 in
2.4 in
O A. 8 in2
O B. 5.76 in
OC. 5.76 in2
D. 5.76 ft
Answer:
O C. 5.76 in2
Step-by-step explanation:
To find the area of a square, the formula is
length x width = area
length = 2.4
width = 2.4
2.4in x 2.4in = 5.76 in2
in2 is the part of the answer since in x in = in2
4m² +10=182 finding square root
Answer:
m = 6.557
Step-by-step explanation:
Subtract 10 from both sides:
4m^2 = 172
Divide both sides by 4:
m^2 = 43
take the square root of both sides:
[tex]\sqrt m^2 = \sqrt{43[/tex]
m = 6.557
Does that make sense?
What is the solution to the system of equations?
5x – 4y = -2
2x + 4y = 16
Answer:
x = 2, y = 3
Step-by-step explanation:
5x – 4y = -2
2x + 4y = 16
Solve by elimination. (-4y and +4y gives 0)
7x = 14
x = 2
Substitute 2 in one of the equations in order to find y.
5(2) - 4y = -2
10 - 4y = -2
-4y = -12
y = 3
x = 2, y = 3
hope this helps!! p.s. i really need brainliest :)
Answer:
x = 2, x = 3
Step-by-step explanation:
[tex]\mathrm{Given:}\begin{bmatrix}5x-4y=-2\\ 2x+4y=16\end{bmatrix}[/tex]
[tex]\mathrm{Step\;by\;step\;solving}:[/tex]
[tex]\mathrm{Isolate\;x\;for\;5x-4y=-2:\;x=\frac{-2+4y}{5}}[/tex]
[tex]\mathrm{Then\;substitute\:}x=\frac{-2+4y}{5}[/tex]
[tex]\begin{bmatrix}2\cdot \frac{-2+4y}{5}+4y=16\end{bmatrix}[/tex]
[tex]\mathrm{Simplifying}: \begin{bmatrix}\frac{-4+28y}{5}=16\end{bmatrix}[/tex]
[tex]\mathrm{Next\;Isolate\;y\;for\;\frac{-4+28y}{5}=16}:y=3[/tex]
[tex]\mathrm{Since,\:}x=\frac{-2+4y}{5}[/tex][tex]\mathrm{and\;y\;=\;3}[/tex]
[tex]\mathrm{Then, substitute\:}y=3[/tex]
[tex]\mathrm{So,x=\frac{-2+4\cdot \:3}{5}}[/tex]
[tex]\mathrm{Solving:\;x=2}[/tex]
[tex]\mathrm{Hence,the\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]x=2,x=3[/tex]
~Kavinsky~
please can someone see this
Answer:
x = 88 degrees
Step-by-step explanation:
Its really easy. All you have to do is subtract all the known angles from 360 since a quadrilateral has 360 degrees
360 - 106 - 114 - 52 = 88
Hope this helped!
Answer:
x = 88°
Step-by-step explanation:
Quadrilaterals: Sum of all angles of quadrilaterals = 360°x + 52 + 114 + 106 = 360°
x + 272 = 360
x = 360 - 272
[tex]\sf \boxed{x= 88^ \circ}[/tex]
Find the Area of the figure below, composed of parallelogram and two semicircles.
Round to the nearest tenths place.
Answer:
622.13 square units
Step-by-step explanation:
Area of the composite figure = area of parallelogram + area of circle
Note: 2 semicircles = 1 full circle
Area of the figure = a*h + πr²
Where,
a = 22
h = 11
r = ½ of 20 = 10
Plug in the value into the equation
Area = 22*11 + π*11²
Area = 242 + π*121
Area = 622.13271108 ≈ 622.13 square units (nearest tenth)
Answer:
Step-by-step explanation:
556.2
Find the mean given normal curve
Answer:
66
Step-by-step explanation:
84 = mean + 3sd
60 = mean - sd
sd = mean - 60
84 = mean + 3(mean - 60)
84 = mean + 3mean - 180
264 = 4mean
mean = 66
If F(x) = 1-x^2+x^3 then f(-1)=
Answer:
f(-1)=-1
Step-by-step explanation:
substitute -1 for x:
f(-1)=1-(-1)^2+(-1)^3
then solve,
f(-1)=1-1-1
f(-1)=-1
can someone help me with this? Thank you!
Answer:
10.
Step-by-step explanation:
As the 2 Figures are similar the correspond sides are in the same ratio.
We see that BC = 5.0 and FG = 2.5, so each side in EFGH is 1/2 of its correspond side in ABCD.
Perimeter of EFGH , therefore, is
2.5 + 2 + 4 + 1.5
= 10.
In the adjoining figure, ABCD is an isosceles trapezium in which angle BCD= 2x and angle ABC=3x. Find all the angles of the trapezium.
The trapezium is an isosceles trapezium. Then the measure of all angles will be 54°, 36°, 36°, and 54°.
What is a trapezium?It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezium, one pair of opposite sides are parallel.
In the adjoining figure, ABCD is an isosceles trapezium in which angle ∠BCD = 2x and angle ∠ABC = 3x.
Then all the angles of the trapezium will be
Agngle ∠BCD = ∠ADC and angle ∠ABC = ∠BAD because the trapezium is an isosceles trapezium. Then we have
Then the value of x will be
∠ABC + ∠BCD + ∠CDA + ∠DAB = 180°
3x + 2x + 2x + 3x = 180°
10x = 180°
x = 18°
Then the measure of all angles will be
∠ABC = ∠BAD = 3x = 3 × 18 = 54°
∠BCD = ∠ADC = 2x = 2 × 18 = 36°
More about the trapezium link is given below.
https://brainly.com/question/22607187
#SPJ1
An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 29 feet up. The ladder makes an angle of 71^{\circ} ∘ with the ground. Find the length of the ladder. Round your answer to the nearest tenth of a foot if necessary
Answer:
30.6716 feet
hope it helps you
Solve :
x- 25=75
x +19=50
Step-by-step explanation:
x - 25 = 75
=> x = 75 + 25
=> x = 100
x + 19 = 50
=> x = 50 - 19
=> x = 31
pls help me classify this asap?!?!
Since all the angles of the first triangle are different, it is a scalene triangle, Similarly, since all the sides of the second triangle is also different, it is a scalene triangle.
Classification of trianglesTriangles is a 3-D shape with 3 sides and angles. The types of triangle that we have include;
ScaleneIsoscelesEquilateralObtuseRight triangleSince all the angles of the first triangle are different, it is a scalene triangle, Similarly, since all the sides of the second triangle is also different, it is a scalene triangle.
Learn more on triangle classification here: https://brainly.com/question/21535569
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The graph below shows the design for the front view of a doghouse that Jeremy plans to build. If each square on the graph represents 1 foot, find the perimeter of the design.
Based on the graph, the total perimeter of the doghouse Jeremy plans to build s 28 feet (twenty-eight feet).
What is the perimeter?This is the total distance of all the sides in a shape. Due to this, the general formula is:
Perimeter = side + side + side.What is the perimeter of the doghouse?Horizontal side: 8 feetVertical sides: 10 feetDiagonal sides: 10 feet8+10+10= 28 feet.
Note: This question is incomplete because the graph is missing; here is the graph:
Learn more about perimeter in: https://brainly.com/question/6465134
#SPJ1
Is length 25 inches and the width 2 inches 50 inches
Answer:
if it is the area your talking about, but if it is the perimeter its 54
Step-by-step explanation:
What is the smallest number that i can add to 4310 to make it exactly divisble by 25
Can someone please answer my question? I really need help please !
If the data values are as shown in the picture I have attached, then the following should help.
Answer: 226.56 m²
Step-by-step explanation:
We need to find the area of three rectangles and two triangles.
The triangles: 34.56 m²
A = [tex]\frac{B*H}{2}[/tex]
-> Since they are both congruent, we will skip dividing by two
A = B * H
A = 7.2 * 4.8
A = 34.56 m²
The rectangles: 192 m²
A = L * W
-> We have two that are congruent, and one that is not
A = 10 * 6 * (2, since there are two)
A = 120 m²
-
A = L * W
A = 7.2 * 10
A = 72 m²
-
72 m² + 120 m² = 192 m²
Total surface area:
34.56 m² + 192 m² = 226.56 m²
What is the sur face area?
1 cm
1 cm
1 cm
Answer:
should be 6cm
Step-by-step explanation:
if you are looking at a cube
Answer:
6 cm 2
Step-by-step explanation:
Surface area of a cube then 1 x 1 x 1 x 6 (6 faces )
Help please it is timed 40 pts
Answer:
The answer is D
Step-by-step explanation:
If you use. MAD then all you have to do is multiply add then divide so the 1/4 +1/16 +. 1/64 + 1/256 = 1/3 so round it and. its 1/3 (1/4)
Answer: choice d
Step-by-step explanation: i asked my mom :/
Find the difference of functions s and r shown
below
r(x) = -x² + 3x
s(x) = 2x+1
(s-r)(x) =
Answer:
-x +x^ + 1
Step-by-step explanation:
s(x) - r(x) = 2x + 1 - ( - x^ + 3 x )
2x + 1 + x^ - 3 x
2x - 3x + x^ + 1
-x + x^ + 1
Hi can you help me Find h?
Find h
Answer:
6
Step-by-step explanation:
Which of the following is a proportion?
4/6=6/9
4/3=6/8
5/6=10/18
2/5=4/25
Answer:
4/6 = 6/9
Step-by-step explanation:
Because 4/6 = 2/3 and 6/9 = 2/3
Answer:
4/6 = 6/9
Step-by-step explanation:
Find the product
5/6 * 30
does someone mind helping me with this problem? Thank you!
Using the Pythagorean theorem:
c = sqrt(8^2 + 7^2)
c = sqrt(64 + 49)
c = sqrt(113)
c = 10.6
pleas help me for 90 points
Answer:
140 in²
Answer as a decimal rounded to the nearest hundredth = 140.00 in²
Step-by-step explanation:
Area of a triangle = 1/2 × base × height
Given:
base = 20 inheight = 14 inSubstituting the given values into the formula:
⇒ Area = 1/2 × 20 × 14
= 140 in²
Answer as a decimal rounded to the nearest hundredth = 140.00 in²
Answer:
140 square inches
Step-by-step explanation:
Formula to find the area of a triangle is A = 1/2 × b × h.
So plug in the numbers
A= 1/2 x 20 x 14
A= 20 x 14 / 2
A = 280/ 2
A(Area) is equal to 140 square inches
1.5 in
3.3 in
What's the area
Answer: 6.96 in^2
Step-by-step explanation:
Trapezoid Area
A = [tex]\frac{a+b}{2} h[/tex]
= [tex]\frac{1.5 + 3.3}{2} * 2.9[/tex]
= [tex]\frac{4.8}{2} * 2.9[/tex]
= 2.4 * 2.9
= 6.96