Answer:
66°
Step-by-step explanation:
mJK = ( 6x - 45 )°
mJH = ( x + 20 )°
mJK = mJH
6x - 45 = x + 20
5x = 65
x = 13
mHK = ( x + 20 )° + ( 6x - 45 )°
mHK = 2 × 33° = 66 °
which angles are congruent in the isosceles triangle
Answer:
angle CAB and angle BCA
Step-by-step explanation:
Hope this helps! Have a great day!!
The apothem of a regular hexagon measures 8 cm. a regular hexagon has an apothem with a length of 8 centimeters. which are true of the regular hexagon? check all that apply. the perimeter of the hexagon is 48 cm. the measure of the angle formed by the radius and the apothem is 30°. the side length of the hexagon is about 4.6 cm. in a regular hexagon, the radius and side length are equal in length. the area of the hexagon is about 221.7 square cm.
The angle made by the apothem and the radius is 30 degrees. Then the correct option is B.
What is a polygon?The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
The apothem of a regular hexagon measures 8 cm.
Then the side length of the hexagon will be
[tex]\rm x = \dfrac{8}{\sin 60^o}= 9.24\ cm[/tex]
The perimeter of the hexagon will be
Perimeter = 6 × 9.24 = 55.43 cm
The area of the hexagon will be
Area = 0.5 × 8 × 9.24 = 36.95 cm².
The angle made by the apothem and the radius is 30 degrees.
More about the polygon link is given below.
https://brainly.com/question/17756657
Answer:
2, 4, & 5
Step-by-step explanation:
I did it
+
II
alu
What is the value of x in the equation
x-2
3
1) 4
2) 6
3) 8
4) 11
[tex]\dfrac{x-2}3 +\dfrac 16 = \dfrac 56 \\\\\implies \dfrac{x-2}3 = \dfrac 56 - \dfrac 16\\\\\implies \dfrac{x-2}3= \dfrac 46\\ \\\implies \dfrac{x-2}3 = \dfrac 23\\\\\implies x -2=2\\\\\implies x =2+2 = 4\\\\\text{Hence, the value of x is 4.}[/tex]
B) Calculate the hourly rate Company A pays its employees.
Answer:
200
Step-by-step explanation:
If the volume of a sphere is 83.5cm3 (cubed) what is the radius??
Answer:
2.71
Step-by-step explanation:
Using this formula: Volume= 4 over 3 * π * r cubed.
then do R=(3V4π)⅓=(3·83.54·π)⅓≈2.71144
2.71144 rounded to the nearest 10 is 2.71
which situation could the expression 1/4 divided by 3 represent
But the question is, how much did she spend?
Step-by-step explanation:
To solve this problem, we must first find the value of one quarter, which in decimal, is 0.25Next, find how many quarters are in 3 that can make one quarter.For this situation, all you must do is multiply 3 by 0.25, and you get 0.75, which is 3/4. The equation looks like the one below.[tex]3 * 0.25(1/4) = 0.75(3/4)[/tex]
With that information, the problem is solved. In this story problem, Lily must pay 0.75 cents for that can of soda.________________________________________________________
Questions?Ask me in the comments box.
someone please help with this thank you if u can !!
Answer:
10 cubic inch is the volume of container
write an algebraic expression
Answer:
find the value of 'c' sach that the point (1.5) 2,-3) and(C,7) are colliner?
Find the volume in the cube of centimeters of rectangle prisms - PLSS HELPP AND HURRY PLS
Answer:
120
Step-by-step explanation:
V = lwh
l= 6
h= 4
w= 5
v= 5.4.6
= 120
What is the distance between A(5, 4) and
B(2, -3)?
4
5
Round your answer to the nearest hundredth.
3
69
5
Answer:
7.62
Step-by-step explanation:
To calculate the distance we can set up a right triangle and use the pythagorean theorem to calculate the distance.
A^2 + B^2 = C^2
Keep in mind that the A and B in this theorem (and my proceeding work) does not correlate to the labels for the points in the problem and are the standard variables used in the theorem.
First lets find the lengths of the sides A and B of our triangle by determing the distance on each axis that seperates the points.
On the x-axis we have
A = 5 - 2
A = 3
The y-axis has
B = 4 - (-3)
B = 7
Plugging these values into the equation from earlier we get:
3^2 + 7^2 = C^2
Where C is the hypotenuse of the right triangle we have created, and the distance between the two points.
9+49 = C^2
sqrt(58) = C
7.615773106 = C
Rounded the the nearest hundredth:
C = 7.62
Please help,how to do this
What is the exponent of y after you have simplified the foollowing problem?
Blank 1:
Review Answers
Answer:
y⁶ (I think you enter just 6 in your problem)
64x¹⁸y⁶ (Simplified)
In the Simplified problem above y has an exponent of 6.
If the probability that the Islanders will beat the Rangers in a game is 85%, what is the probability that the Islanders will win exactly three out of five games in a series against the Rangers? Round your answer to the nearest thousandth.
.138
.037
.158
.232
The probability that the Islanders will win exactly three out of five games in a series against the Rangers is mathematically given as
P(x=3)=0.26367
What is the probability that the Islanders will win exactly three out of five games in a series against the Rangers?Generally, the equation for the probability is mathematically given as
P(x=3)=nC3 (P)^r (q)^{n-r}
Therefore
P(x=3)=5C3 (0.75)^3 (0.25)^{5-3}
P(x=3)=10 (0.75)^3 (0.25)^{5-3}
P(x=3)=0.26367
In conclusion, The probability of the islander
P(x=3)=0.26367
Read more about probability
https://brainly.com/question/795909
Convert: 2589 millimeters = ______ kilometers
A. 2,589,000,000 km
B. 2,589,000 km
C. 0.002589 km
D. 0.2589km
Answer:
C. 0.002589 km
Step-by-step explanation:
2589/1,000,000
=0.002589
Jane is participating in a
charity run. For each 5 miles
she runs, she will raise $30.
Please help!! Need an explanation by tomorrow and I am super confused!
Answer:
x = 35
y = 7
Step-by-step explanation:
See how the image looks like two overlapping triangles. It is given that the triangles are congruent. Its easier to see whats what if you draw the triangles separately. I also flipped over the triangle on the right so they match. Record the given angle measures. Since A is 45° then D is also 45°. DBC is 30°, so we can find the missing angle in triangle DBC. Angles in a triangle add up to 180° so
C + 45 + 30 = 180
C + 75 = 180
C = 105°
This is angle DCB.
Now all the angles are marked. We can set up equations to find x and y. see image.
WHAT S THE LENGTH
OF THE MISSING SIDE?
3
Answer:
4
Step-by-step explanation:
using Pythagorean theorem
a^2+b^2=c^2
you have C so you can flip it around
c^2-b^2 will give you a^2
Answer:
the answer is 4
Step-by-step explanation:
b²=5²-3²
b²=16
b=4
add then round???????????????????
Answer:
400,000
Numbers given:
479,369113,572After rounding them to nearest hundredth thousand:
500,000100,000Difference:
500,000 - 100,000400,000please help figure out the range
Answer:
5
Step-by-step explanation:
The range is the highest value number minus the lowest value number. 9 minus 4 is 5.
How much should you invest in an account that pays 6% annual interest compounded continuously if you want exactly $8000 after four years?
Answer:
$6239
Step-by-step explanation:
A(t) = P•e^rt
Substitute with 6% 0.06, t with 4 and A(t) with 8,000 to find the value of P.
8, 000 = P•e^0.06•4
8, 000 = P•e^0.24
8, 000 = P•1.27
P = 6, 293
Find the area of the given triangle. Round your answer to the nearest tenth.
A right triangle with a base of 36. The angle of elevation is 25 degrees.
Group of answer choices
302.2 units squared
1 comma 389.6 units squared
766.6 units squared
Using relations in a right triangle, it is found that it's area is of 302.2 units squared.
What are the relations in a right triangle?The relations in a right triangle are given as follows:
The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.In this problem, we have that the opposite side to the angle of 25º is of x, while the adjacent side is of 36, hence:
[tex]\tan{25^\circ} = \frac{x}{36}[/tex]
[tex]x = 36\tan{25^\circ}[/tex]
x = 16.79.
What is the area of a right triangle?It is given by half the multiplication of it's sides, hence:
A = 0.5 x 16.79 x 36 = 302.2 units squared.
More can be learned about relations in a right triangle at https://brainly.com/question/26396675
b) The perimeter of a squared field is 60 m. Find its area.
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
Perimeter of square is :
[tex]\qquad \sf \dashrightarrow \:4 \times side \: length[/tex]
so, we can take side length as a, and solve for a ~
[tex]\qquad \sf \dashrightarrow \:4a = 60[/tex]
[tex]\qquad \sf \dashrightarrow \:a = 60 \div 4[/tex]
[tex]\qquad \sf \dashrightarrow \:a = 15[/tex]
Now, since we know the side length. let's find Area of square :
[tex]\qquad \sf \dashrightarrow \: {15}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:area = 225 \: m {}^{2} [/tex]
Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation.
9. (1,3); y+2=4(x-1)
Answer:
pretty sure its y = 2x +1
Step-by-step explanation:
There are two parts to this question.
part 1: Solve for x
part 2: what is the length of AB
AB = BD is given. Therefore,
7x + 10 = 9x-2
10 + 2 = 9x - 7x
12 = 2x
x = 2
Now, Put the value of x in value of AB
AB = 7x + 10
AB = 7 × 2 + 10
AB = 14 + 10
AB = 24
write 2.786 as a fraction in common form
Which equation does NOT describe a term in the sequence below:
12,6,3,1.5, ...
a. f(1) = 12
b. [tex]f(n)24(1/2)^x[/tex]
c. f(0) = 12
d. f(5)=0.75
Please help me with this one! Its due today. Thank you ^^
I need answers with explanations for each one.
Step-by-step explanation:
the sum of all angles around a single point on one side of a line is always 180° (a line can always be seen as the diameter of an imaginary circle, so each side corresponds to 180°).
the angles on one side of a line crossed by a second line are mirrored but otherwise exactly the same as on the other side of the line.
a parallel line crossing a third line must have the exact same angles with this third line as the other parallel line. otherwise they would not be parallel. you can say a parallel line mimics the exact same behavior as the other line it is parallel to.
so,
c = 180 - 35 = 145°
a = c = 145°
b = 35°
d = 180 - 110 = 70°
e = d = 70°
f = 110°
g = 180 - 125 = 55°
i = g = 55°
h = 125°
j = 180 - 130 = 50°
m = j = 50°
o = k = d = e = 70° (as this line crosses 2 levels)
l = f = 110°
n = 180 - m - o = 180 - 50 - 70 = 60°
s = 180 - 23 = 157°
p = 23°
r = 68°
q = 180 - p - r = 180 - 23 - 68 = 89°
t = 180 - 68 = 112°
v = w = z = 132° (as this line crosses 2 levels)
A = 180 - 132 = 48°
y = x = u = A = 48°
B = 180 - 39 - 47 = 94°
D = B = 94°
C = 39 + 47 = 86°
E = 47°
F = B + 39 = 94 + 39 = 133°
What is the slope of the line represented by the equation y=- 1/2x+1/4
Step-by-step explanation:
This equation is known as slope-intercept form.
Parts of the slope-intercept form equation:
[tex]y=mx+b[/tex]
m represents the slope.
b represents the y-intercept.
In the equation, [tex]-\frac{1}{2}[/tex] is in the placement of m.
We can conclude that [tex]-\frac{1}{2}[/tex] is our slope.
Learn more about the slope of a line:
https://brainly.com/question/12551131Serena does 10 minutes of endurance exercises. she plans on doing it for s minutes of doing strength exercises. complete the two equations using t, the total number of minutes serena will spend exercising.
The equation that represents the time spent on the exercise by Serena will be t = 10 + s
How to compute the equation?From the information given, it was stated that Serena does 10 minutes of endurance exercises. and that she plans on doing s minutes of strength exercises.
Therefore, the equation that represents the time spent on the exercise will be t = 10 + s
Learn more about equations on:
https://brainly.com/question/2972832
96 young musicians attended a jazz camp. 30 of them were guitarists. What is the probability that a randomly chosen musician is a guitarist? Write your answer as a fraction or whole number. P(guitarist) =
Answer:
31.25 % or 5/16
Step-by-step explanation:
30 out of 96 chance
30/96 = 31.25%
Answer:The probability that a randomly chosen musician is a guitarist is 30/96.
Step-by-step explanation: