Answer:
x = 36°
m<1 = 36°
m<2 = 144°
m<3 = 36°
m<4 = 144°
m<5 = 144°
m<6 = 36°
Step-by-step explanation:
✔️x° + 4x° = 180° (linear angle pair theorem)
5x = 180
x = 180/5
x = 36°
For easy identification, the six angles to be found have been labelled <1 to <6 as shown in the attachment below.
✔️m<1 = x° (vertical angles pair)
m<1 = 36° (substitution)
✔️m<2 = 4x° (vertical angles pair)
Plug in the value of x
m<2 = 4(36)
m<2 = 144°
✔️m<3 = x° (alternate interior angles theorem)
m<3 = 36° (substitution)
✔️m<4 = 4x° (corresponding angles theorem)
m<4 = 4(36) (substitution)
m<4 = 144°
✔️m<5 = 4x° (alternate exterior angles theorem)
m<5 = 4(36)
m<5 = 144°
✔️m<6 = x° (corresponding angles theorem)
m<6 = 36°
Solve 5(7)5x = 60. Round your answer to the nearest thousandth.
X
5(7)5x=60
35*5x=60
175x=60
x=60/175
x= 0.342
Enjoy and your answer is 0.342
How much food can this container hold? Express your answer in terms of pie
Answer: 27
Step-by-step explanation:
Please help me out :)
Answer:
Q= (5,4)
Step-by-step explanation:
The x value went up by 4 units and the y value up by 6 units from the first point to the midpoint. Since the midpoint is equal distance from both points, we know it will go up by the same amounts for Q.
so 1+4= 5
-2+6= 4
hope this helps chu <3
If the corner that the Hebron Bank is located on measures , what is the measure of the corner where the Pepsi Plant is located? What word describes this relationship?
Please help me!!
1. Hebron bank). 2.hospital 3.pizza city 4. Jimmy Girll
find the common ratio of the geometric sequence: -15, 135, -1215
Answer: (−15)(135)−1215
=−2025−1215
=−3240
Step-by-step explanation:
Answer:
A=7
Step-by-step explanation:
a1=-19
a2=-26
a3=-33
Find the common difference ("d")
d=a2-a1
d=(-26)-(-19)
d=-7
Please help me please!
lowest common multiple and highest common multiple factor for 100 and 132
Answer:
LCM= 3300
HCF=4
Step-by-step explanation:
Ariel made cupcakes to sell. 2/3 of them were chocolate chip,25% of the reminder was strawberry and the rest were 90 vanilla cupcakes. a) How many cupcakes were chocolate chip ? b) How many cupcakes were strawberry?
Answer:
Let x be the total number of cupcakes.
Chocolate chips =
[tex] \frac{2}{3} x[/tex]
Strawberry =
[tex] \frac{1}{4} \times \frac{1}{3} \\ = \frac{1}{12} x[/tex]
Vanilla =
[tex]x - \frac{2}{3} x - \frac{1}{12}x \\ = \frac{1}{3} x - \frac{1}{12} x \\ = \frac{1}{4} x[/tex]
given
[tex] \frac{1}{4} x = 90[/tex]
[tex]x = 90 \div \frac{1}{4} \\ = 90 \times 4 \\ = 360[/tex]
a)Number of Chocolate chip Cupcakes =
[tex] \frac{2}{3} \times 360 \\ = 240[/tex]
b)Number of Strawberry cupcakes =
[tex] \frac{1}{12} \times 360 \\ = 30[/tex]
Find the lateral area of this cone.
Step-by-step explanation:
lateral surface area here = πrl
r = 10
l = √h²+r²= √ 24²+ 10² = 26
lateral surface area = 10 × 26 × π
= 260π in²
hope this will be helpful to you .
plz mark my answer as brainlist if you find it useful.
Answer:
The lateral area of cone is 260π in².
Step-by-step explanation:
Given : [tex]\small\blue\bull[/tex] Height of cone = 24 in.[tex]\small\blue\bull[/tex] Radius of cone = 10 in.[tex]\begin{gathered}\end{gathered}[/tex]
To Find : [tex]\small\blue\bull[/tex] Slant height of cone [tex]\small\blue\bull[/tex] Lateral surface area of cone[tex]\begin{gathered}\end{gathered}[/tex]
Using Formulas :[tex]\star{\underline{\boxed{\sf{\purple{\ell = \sqrt{{(r)}^{2} + {(h)}^{2}}}}}}}[/tex]
[tex]\pink\star[/tex] l = slant height [tex]\pink\star[/tex] r = radius [tex]\pink\star[/tex] h = height[tex]\star{\underline{\boxed{\sf{\purple{La_{(Cone)}= \pi r\ell}}}}}[/tex]
[tex]\pink\star[/tex] La = Lateral area[tex]\pink\star[/tex] π = 3.14 [tex]\pink\star[/tex] r = radius [tex]\pink\star[/tex] l = slant height[tex]\begin{gathered}\end{gathered}[/tex]
Solution :Finding the slant height of cone by substituting the values in the formula :
[tex]\begin{gathered} \qquad{\longrightarrow{\sf{\ell = \sqrt{{(r)}^{2} + {(h)}^{2}}}}}\\\\\qquad{\longrightarrow{\sf{\ell = \sqrt{{(10)}^{2} + {(24)}^{2}}}}}\\\\\qquad{\longrightarrow{\sf{\ell = \sqrt{{(10 \times 10)} + {(24 \times 24)}}}}}\\\\\quad{\longrightarrow{\sf{\ell = \sqrt{(100)+(576)}}}}\\\\\qquad{\longrightarrow{\sf{\ell = \sqrt{100 + 576}}}}\\\\\quad{\longrightarrow{\sf{\ell = \sqrt{676}}}}\\\\\quad{\longrightarrow{\sf{\ell = 26 \: in}}}\\\\\quad\star\underline{\boxed{\sf{\pink{\ell = 26 \: in}}}} \end{gathered}[/tex]
Hence, the slant height of cone is 26 in.
[tex]\begin{gathered}\end{gathered}[/tex]
Now, finding the lateral area of cone by substituting the values in the formula :
[tex]\begin{gathered} \qquad{\longrightarrow{\sf{La_{(Cone)} = \pi r \ell}}}\\\\\qquad{\longrightarrow{\sf{La_{(Cone)} = \pi \times 10 \times 26}}}\\\\\qquad{\longrightarrow{\sf{La_{(Cone)} = \pi \times 260}}}\\\\\qquad{\longrightarrow{\sf{La_{(Cone)} = 260\pi\: {in}^{2}}}}\\\\ \qquad{\star{\underline{\boxed{\sf{\pink{La_{(Cone)} = 260\pi \: {in}^{2}}}}}}}\end{gathered}[/tex]
Therefore, the lateral area of cone is 260π in².
[tex]\rule{300}{2.5}[/tex]
Anybody know this. Need help please!!!!
can someone ply help meeeeeeeeee
Answer:
1)54° 2)5π 3)a=3π 4)b 5)(x – 11)^2+ (y – 6)^2=36 6)center=(7,-6) radius=5 8)b
Step-by-step explanation:
1- π radians = 180°
so 3π/10=(3*180)/10=54°
2- in order to find arc length we need to find the ratio of the angles then make that equal to the ratio of the arc length to the perimeter:
x=arc length of HN
150/360=x/2πr
5/12=x/2*6π
5/12=x/12π
12*5π=12x
x=5π
3- in order to find the area of the shaded region we have to take the ratio of the angles and make that equal to the ratio of the area of the shaded region to the whole area:
a=area of the shaded region
30/360=a/πr^2
1/12=a/36π
36π=12a
a=3π
4- a slice of a 16 inch pizza has an area of 64π/8=8π
two slices of a 10 inch pizza has an area of 2*(25π/8)= 6.25π
therefore we would be more satisfied with a slice of an 16 inch pizza, which is b.
5- the formula for the equation of a circle is: (x – h)^2+ (y – k)2 = r2
h=x-coordinate of the center point k= y-coordinate of the center r=radius
in this question the center is (11,6) so h=11, k=6 and the radius is 6 so r=6
we plug in
(x – 11)^2+ (y – 6)^2=36
6- h=7 k=-6 so the center is (7,-6)
radius=5
8- center=(1,3) and radius=2
so the graph that corresponds to these values is b
help plz i dont know what to do
Answer:
30
Step-by-step explanation:
The scatter plot shows the number of new magazine subscriptions compared with the percentage of advertisements in the magazines
A. The number of new subscribers to the new magazines will increase
B. The number of new subscribers to the magazines will decrease
C. The advertising revenue will increase the profit of the magazine
D. There is no association in the data to make a prediction
Answer:
The answer is B!
Step-by-step explanation:
I hope this helps! Have a great rest of your day!
Several students made comments about this image.
A triangle has angles B, C, D. The exterior angle to angle B is A.
Which comment is true?
“If I know the measures of A and B, I can subtract those measures from 180 to find the measures of the other two angles.”
“If I know the measure of C, I can find the measure of angle A because they are the same.”
“If I know the measures of angles C and B, I can find the measures of A and D.”
“If I know the measure of angle A, I can find the measure of angle D by subtracting from 180.”
Answer:
C, the third option
Step-by-step explanation:
I put in C because it mad ethe most sense and i got it right, have a good day!
what is the volume of this rectangular prism
Answer: 56
Step-by-step explanation: 7 * 2 * 4 = 56
Answer:
V = 56
Step-by-step explanation:
Rectangle prism Volume:
V = whl
Given:
w = 4
h = 2
l = 7
Work:
V = whl
V = (4)(2)(7)
V = 56
20.
The size of a packet of pasta is increased by one-quarter.
The new size is later reduced by one-quarter.
is the new packet smaller, the same size or larger than the original?
Explain how you worked out your answer.
Answer: Smaller
Step-by-step explanation:
Multiplying a number by 1.25 increases it by a quarter
Multiplying a number by 0.75 decreases it by a quarter
1.25 / 0.75 = 0.9375
Thus, increasing something by a quarter then decreasing it by a quarter, you are effectively multiplying that number by 0.9375, which is less than 1, so the number will decrease.
the present price of a car is 33750 every year the price decreased by 4% find the price of a car after 4 years
Answer: 28,665 currency units
Step-by-step explanation:
Find the value of the car after 4 years using the Future value formula:
= Amount * ( 1 + rate) ^ no. of years
= 33,750 * ( 1 + (-4%))⁴
= 33,750 * 0.84934656
= 28,665.45
= 28,665 currency units
i need help guys can y’all please help me figure it out
Answer:
25% or 1/4
Step-by-step explanation:
First add up all the numbers to get the total number of rentals (according to chart) --> 6+36+4+2 = 48 rentals
The question is asking for the probability a random person will NOT rent a comedy which will be: 48-36 = 12 of those people here
All you have to do is 12/48 (AKA Not comedy/ Total) =
Answer: 1/4 or 25 percent
Can you please answer the question?
Please help this is due tomorrow
[tex]\sf \left(\dfrac{1}{7}\right)^3\ is\ basically\ like\ saying\ you're\ multiplying\ \dfrac{1}{7}\ by\ \dfrac{1}{7},\ three\ times.[/tex]
[tex]\implies\ \sf \dfrac{1}{7}\ \times\ \dfrac{1}{7}\ \times\ \dfrac{1}{7}\\\\\\\implies\ \dfrac{1}{343}[/tex]
Therefore, (1/7)³ = 1/343, implying that the answer is option (D).
Hope it helps. :)
Answer:
D, 1/343
Step-by-step explanation:
pls help! giving thanks
Answer:
I would say C but also not sure
pleaseeeeeeeeeeeeeee help
Answer:
total surface area = 288 m2
lateral surface area = 192 m2
top surface area = 48 m2
bottom surface area = 48 m2
Step-by-step explanation:
The length of the base of an isosceles triangle is x. The length of a leg is 4x - 4. The perimeter of the triangle is 118. Find x.
Answer:
x = 14
Step-by-step explanation:
4x - 4 + 4x - 4 + x = 118
9x - 8 = 118
9x = 126
x = 14
Find the volume of composite solid
Answer:
132
Step-by-step explanation:
F(x)=2x-6 find f(2) please help
Answer:
Step-by-step explanation:
Putting value of x = 2 in the equation
F(2) = 2(2) - 6
= 4 - 6
= - 2
watatatatatta
0 pts haha
Solve for x and find the measure of each exterior angle.
Answer it ASAP! plss
Step-by-step explanation:
x = 15 as sum of exterior angles is 360⁰
pur value of x and get each answer
I am not solving whole as it will result in lack of your practice, how will you combat tests or exams?
Ryan has a big project to complete in science. He needs at
least 5 days to complete his project. Write an inequality to
describe the amount of days Ryan needs to complete his
project
Answer:
On which topic is he making?
Answer:
d ≥ 5Step-by-step explanation:
Let the number of days is d.
Required inequality is:
d ≥ 5find the measure of the missing angle :D
Answer:
A = 48
Step-by-step explanation:
Hello!
42 + 90 + a = 180
180 - 42 - 90 = 48
So 48 is A
Answer:
48
Step-by-step explanation:
42 + 90 + a = 180
132 + a = 180
a = 180 - 132
a = 48
the degree of a line is 180 so you would just have to the degrees that you already know in order to find the missing ones
PLEASE HELP I WILL GIVE BRAINIEST. What is the range?
Well According to Sites I've determined, The Range (Statistics). The Range is the difference between the lowest and highest values. Example: In {4, 6, 9, 3, 7} the lowest value is 3, and the highest is 9
Answer:
The Range field provides an interactive experience for selecting a numerical value between specific endpoints.
or
Range (biology), the geographical area where a species can be found.
or
Range (statistics), the difference between the highest and the lowest values in a set.
or
Range (geographic), a chain of hills or mountains; a somewhat linear, complex mountainous or hilly area (cordillera, sierra...
Find a 12 in the sequence -1, -3, -9, -27, ...
Answer:
multiple by -3
and that will be the answer