Answers
Answer:
x = 17
Step-by-step explanation:
∠ DCE = ∠ ACE ( vertically opposite angles )
The sum of the 3 angles in a triangle = 180° , then
∠ DCE = 180° - (100 +x) = 180 - 100 - x = 80 - x
∠ ACE = 180 - (49 + 4x) = 180 - 49 - 4x = 131 - 4x
Equating the 2 angles
80 - x = 131 - 4x ( add 4x to both sides )
80 + 3x = 131 ( subtract 80 from both sides )
3x = 51 ( divide both sides by 3 )
x = 17
Related Questions
Evaluate the formula z=
x−μ
σ
n when μ=119, n=29, x=116, and σ=9.
Answers
Work Shown:
[tex]z = \frac{\overline{x}-\mu}{\frac{\sigma}{\sqrt{n}}}\\\\z = \frac{116-119}{\frac{9}{\sqrt{29}}}\\\\z \approx \frac{-3}{\frac{9}{5.3851648}}\\\\z \approx \frac{-3}{1.671258}\\\\z \approx -1.795055\\\\z \approx -1.795\\\\[/tex]
Simplify the expression.
18+(-4)-2/7 j-6/7j+5=
(Simplify your answer.
Answers
Answer:
(18-4+5)+(2/7 j-6/7 j)=
19 +(-4/7 j)=
what is the slope of the line
Answers
Answer:
1.5 OR 3/2
Step-by-step explanation:
Slope (m) = ΔY/ΔX= 3/2=1.5
θ = arctan(ΔY/Δx)= 56.30993247402°
ΔX = 3 – 1 = 2
ΔY = 0 – -3 = 3
Distance (d) = √ΔX2 + ΔY2 = √13 = 3.605551275464
Equation of the line:
y = 1.5x – 4.5
or
y=3/2x-9/2
Thus, 3/2
Answer:
m = 1.5Step-by-step explanation:
Use the coordinates of two points on the graph:
(1, -3), (3, 0)Find the slope using slope formula:
m = (y₂ - y₁)/(x₂ - x₁)m = (0 - (-3))/(3 - 1) = 3/2 = 1.5What is y=2x? (its in the mathematics Georgia book)
Answers
Given that p varies directly as q and
[tex] \sqrt{q} [/tex]
varies inversely with t², show how p varies with t.
Answers
Answer:
Above is the step-by-step solution
[tex]\\ \sf\longmapsto p\propto q [/tex]
[tex]\\ \sf\longmapsto p=kq[/tex]
Divide both sides by q[tex]\\ \sf\longmapsto \dfrac{p}{q}=k[/tex]
[tex]\\ \sf\longmapsto q=\dfrac{p}{k}[/tex]
Now
[tex]\\ \sf\longmapsto p\propto \sqrt{q}[/tex]
[tex]\\ \sf\longmapsto p\propto \dfrac{1}{t^2}[/tex]
[tex]\\ \sf\longmapsto p=\dfrac{k}{t^2}[/tex]
Substitute√q[tex]\\ \sf\longmapsto \sqrt{q}=\dfrac{k}{t^2}[/tex]
[tex]\\ \sf\longmapsto q=\dfrac{k^2}{t^4}[/tex]
Substitute q=p/k[tex]\\ \sf\longmapsto \dfrac{p}{k}=\dfrac{k^2}{t^4}[/tex]
[tex]\\ \sf\longmapsto p=\dfrac{k}{t^4}[/tex]
[tex]\\ \sf\longmapsto p\propto \dfrac{1}{t^4}[/tex]
Done
please answer the all questions
Answers
Answer:
e)
a = 58°
alternate angles
b = a = 58°
Triangle is scalene (indicated by the 2 dashes on the triangle)
d = 180 - (58*2)
d = 64°
c = 58°
use either 180- (64+58)
which is angles in a straight line = 180 total
or
alternate angles
b = c = 58
f) x = 50°
alternate angles
y+z = 180-50
y+z = 130
we know that y = z
scalene triangle indicated by arrows (both bases are same angle)
so 130/2 = y and z
65 = y
65 = z
g) x = 55
alternate angles
on the diagram take the triangle which has x and y
you can see 95° outside the triangle, it’s on a straight line and will help us find the third angle for that triangle
180-95 = 85
180 - (85+55) = y
y = 40
z = y = 40
alternate angles
h)
180-78 = 102
beside angle a would be the angle 2a
alternate angles (look at the photo)
180 = 102 + a + 2a
180 = 3a + 102
78 = 3a
a = 26°
2a = 52
b = 26
use either alternate angles
a = b
or total angles in a triangle = 180°
102 + b + 56 = 180
b = 180-52-102
On a coordinate plane, 4 points are plotted. The points are (1, 4), (2, 6), (3, 9), (4, 13.5).
Which statements are true for the given geometric sequence? Check all that apply.
The domain is the set of natural numbers.
The range is the set of natural numbers.
The recursive formula representing the sequence is f(x + 1) = Three-halves(f(x )) when f(1) = 4.
An explicit formula representing the sequence is
f(x) = 4(three-halves) Superscript x
The sequence shows exponential growth.
Answers
Answer: See below.
Step-by-step explanation:
The domain is the set of natural numbers. Yes
The range is the set of natural numbers. Yes
The recursive formula representing the sequence is f(x + 1) = Three-halves(f(x )) when f(1) = 4. Yes See attachment
An explicit formula representing the sequence is
f(x) = 4(three-halves) Superscript x No See attachment
The sequence shows exponential growth. Yes
Answer:
1,3,5 are correct. please ignore the other person.
Step-by-step explanation:
Graph the function f(x) = x^2 + 4x-12 on the coordinate plane.
Answers
Answer:
x-intercepts: (-6,0) and (2,0)
y-intercepts: (0,-12)
Minimum value at x = -2
The ratio of the angles in a quadrilateral are 7:4:5:2. What is the smallest angle?
Answers
Answer:
Step-by-step explanation:
The smallest angle in the quadrilateral with a ratio of 7:4:5:2 is 40 degrees.
To find the smallest angle in the quadrilateral, we need to determine the ratio of the angles and find the corresponding value for the smallest angle.
Given the ratio of the angles as 7:4:5:2, we can assume that the smallest angle corresponds to the ratio of 2.
To calculate the smallest angle, we can consider the sum of the ratio values as a whole, which is 7 + 4 + 5 + 2 = 18.
Now, we can find the value of the smallest angle:
Smallest angle = (2/18) * 360 degrees
= (1/9) * 360 degrees
= 40 degrees.
Therefore, the smallest angle in the quadrilateral is 40 degrees.
To know more about quadrilateral, refer here:
https://brainly.com/question/19816071
#SPJ2
HELP ASAP!!!!!!!!! IM SO PUZZLED
Answers
3:7 is the largest ratio.
Each child at table 1 gets 40% of a pizza. Each child at table 2 gets about 43% of a pizza. Each child at table 3 gets about 42% of a pizza.
hope this helps!
Which compound inequality is represented by the graph?
O x < -4 or x2 3
Ox<-4 and x 2 3
O xs-4 or x <3
O xs-4 and x < 3
Answers
B) x < -4 and x ≥ 3
A cyclist travels at an average speed of 11 mph for 3 hours. How far did she travel in miles?
Answers
Answer:
33 miles
Step-by-step explanation:
The cyclist traveled for 3 hours ar 11 miles per house to find how many miles she traveled simply multiply the speed times the amount of time traveled 11 times 3 is 33
1 hour = 11 miles
3 hours = 11 x 3 miles
= 33 miles.
Ans: 33 miles
I know this is already answered but I was bored lol.
HELP ASAP You are preparing to move into a new house. The walls of your room will measure 10 feet by 12 feet.
When you look at the blueprint, the lengths of the walls on the drawing are 7.5 inches by 9 inches. What
is the scale used on the blueprint?
Answers
The Scale used on blueprint is 1 inches represents 4/3 feet
Scaling is the increase or decrease in size of a figure or object so as to create an image of that object.
Since on the blueprint, the walls measure 10 feet by 12 feet but on the blue print it measures 7.5 inches by 9 inches. Hence:
Scale used on blueprint is 7.5 inches = 10 feet or 9 inches = 12 feet
1 inches = 4/3 feet
The Scale used on blueprint is 1 inches represents 4/3 feet
Find out more at: https://brainly.com/question/20095188
Complete the table using the equation y = 8x + 8 ( helppp plsss)
Answers
Answer:
-5 , 3 , 11 , 19 , 27
Step-by-step explanation:
typing bc I need to have 20 letters
Writing in Math Stacy multiplied 5 x 9 and said the nswer was 44. What two patterns could you use to show nat her answer is not correct?
Answers
Answer:
5*9= 45
Step-by-step explanation
Well using your hands you can put down your fifth finger and that will give you four fingers on the left and five on the right that then equals 45
Find the slope of the line represented by the data below x| 0 2 4 6 8
y|15 9 3 -3 -9
Slope=[?]
Answers
Answer:
it's answer is 10/-15.........
What's the Area of rectangle with Width=200 Length=400
Answers
Answer
80000
Step-by-step explanation:
200×400
=80000
A candy store sells 25 types of candy. Out of these 25 types, 12 contain chocolate. What percent of the candy types sold contain chocolate?
Answers
Answer:
Step-by-step explanation:
[tex]Percentage of chocolate candy = \dfrac{12}{25}*100\\\\ = 12*4\\\\[/tex]
= 48%
Explain how you will find the area of a rectangle with dimensions of 2x + 6 and 2x 6
Answers
here is your perfect answer
gamsahamnida
List numbers that are between -21 and -12
Answers
Answer:
-13 -14 -15 -16 -17 -18 -19 -20
Answer:
-20, -19, -18, -17, -16, -15, -14, -13,
Step-by-step explanation:
How would you slove ;
-2x+2y=3 & 2×-2y=2
in order to get y by itself ?
Answers
Answer:
simultaneous linear equation
Step-by-step explanation:
you can use two methods:
substitution method
elimination method
PLEASE HELPPPPPPPPPPPPP
In a recent year, 34.7% of all registered doctors were female. If there were 48,900 female registered doctors that year, what was the total number of registered doctors?
ROUND YOUR ANSWER TO THE NEAREST WHOLE NUMBER
Answers
Answer:
140922
Step-by-step explanation:
48900/34.7 = 1409.2219
1409.2219 *100 = 140922.19
rounded - 140922
0.35 is best classified as a ________ number.
Fill the blank
why this stuff hard
Answers
Answer:
rational number (might be wrong)
Solve for b.
8b−1=24b+4
ans = -7
Answers
Answer:
Step-by-step explanation:
yeah your answer was wrong so you clearly need help
8b-1=24b+4
subtract 4 from both sides
8b-5=24b
subtract 8b from both sides
-5=16b
divide by 16
b=-5/16
Answer:
b = -5/16
Step-by-step explanation:
8b - 1 = 24b + 4
8b - 24b = 4 + 1
-16b = 5
16b = -5
b = -5/16
Urgently please it is due today
Answers
Answer:
1/4.
Step-by-step explanation:
There are 12 possible outcomes.
There are are 3 outcomes represented by 4B.
So required probability = 3/12 = 1/4.
Please help explain my answer!!
Why does a compass point towards the earth's geographic North Pole?
My answer:
Because that's where Earth's south magnetic pole is located and they attract.
Make sure to explain your answer.
Help!
Answers
The correct answers are that Earth’s North Pole is close to the magnetic south pole, magnets allowed to move freely align themselves to point north, and the north pole on a compass is attracted to Earth’s south pole. I really hope this helps you!!
Which expression is equivalent to 21 x + 35 y – 14 = 0?
y = x + 2
B y = x – 7
C y = -x + 14
D 3x + 5y = 2
Answers
Answer: D: 3x + 5y = 2
Step-by-step explanation:
D. Divide 21 x + 35 y – 14 = 0 by 7 to get:
3x + 5y -2 = 0
Rearrange: 3x + 5y = 2
What is the y-intercept in the equation y = 4x-3?
Answers
Answer:
-3
Step-by-step explanation:
y = mx + b
b is the y-intercept
Answer:
(0,-3)
This the answer hope this help
An investment of $5,690 earns interest at a rate of 4% and is compounded quarterly. What is the
accumulated value of the investment at the end of 7 years?
Answers
0.011 divided by 0.25
Answers
Answer:
0•044 is the correct answer
Answer:
0.044
Step-by-step explanation: