Answer:
x= -2
Step-by-step explanation:
Move all the terms to the left.
Add all the number together and then add the variables.
Get rid of parenthesis
Move all terms containing x to the left.
The value of x obtained for given diagram is, 12
What is an angle ?An angle is a mathematical term which we can defined, when two straight lines or rays meets at a common endpoint. The common point is called the vertex of an angle. The word angle comes from a Latin word named ‘angulus,’.
Interior angles:- The inner angle made by the intersection of two polygonal sides.
Exterior angles:- The outer angle made by the intersection of two polygonal sides.
Given that,
All the exterior angles are,
(5x + 4), (7x + 4),(4x + 9),(4x + 1),(9x-6)
It is known that,
Sum of Interior angle & Exterior angle is equal to 180°
So we can calculate all the Interior angles,
180°- (5x + 4), 180°-(7x + 4), 180°-(4x + 9), 180°-(4x + 1), 180°-(9x-6)
Formula for sum of all the Interior angles = (2n-4)×90
So, n=5
Sum of all the Interior angles = 540°
[180°- (5x + 4)] + [180°-(7x + 4)]+[180°-(4x + 9)]+[180°-(4x + 1)] +[180°-(9x-6)] = 540
900- 29x- 12 = 540
x = 12
Hence, The value of x is, 12
To know more about angle check:
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What is the angle of depression from the start of a 6-foot high access ramp that ends at a point 40 feet away along the ground? Nearest tenth of a degree.
Answer:
8.5 degreesStep-by-step explanation:
The set up will give a right angles triangle;
Given
The height of the ramp (opposite) = 6 foot
distance away along the ground = 40 feet (adjacent)
Required
Angle of depression theta
Using the TOA identity;
tan theta = opposite/adjacent
tan theta = 6/40
tan theta = 0.15
theta = tan^-1{0.15}
theta =8.53 degrees
hence the angle of depression to nearest tenth of a degree is 89.5 degrees
answer and work please
1. X2+7X-8
I need help ASAP right answers only
Answer:
What r u asking to find. Show the directions
Step-by-step explanation:
Answer:
(x-1) (x+8)
Step-by-step explanation:
Use the sum-product pattern:
x^2+7x-8
x^2+8x-x-8
Common factor from the two pairs:
x^2+8x-x-8
x(x+8)-1(x+8)
Rewrite in factored form:
x(x+8)-1(x+8)
Solution:
(x-1) (x+8)
In Triangle JKL, <J is congruent to <L
What is the measure of <L
Answer:
∠L = 33.9°Step-by-step explanation:
∠K = 180 - 67.8
= 112.2°
∠J = ∠L = 180 - 112.2
2
∠J = ∠L = 33.9°
Lorenzo ate 3.5 slices of an extra large pizza and consumed a total of 1008 calories. What is the constant of proportionality that relates the number of slices, x, to the number of calories, y?
A3.5x+1008y
Step-by-step explanation:
Can someone please help
Answer:
2(3x-20)
Step-by-step explanation:
2(3x-20) that's your answer..
Kevin brought 15 chicken wings for 31.50 how much would it cost for 7 wings.
Answer:
$14.70
Step-by-step explanation:
31.50/15=2.10
2.10*7=14.70
what is an equation of the line that passes through the poins (-6,2) and (-4,-1)
You have 20 coins. There are all either a quarter or a dime. The value of the coins is $3.65.
You have ____ quarter and ____ dimes
Answer:
11 quarters and 9 dimes
Step-by-step explanation:
because 11 quarters = $2.75
and 9 dimes = $0.90
$2.75
+ $0.90
____________= $3.65 with only 20 coins :)
can someone please show their work for 4m-5(3m+10)=126
Answer: -16
Step-by-step explanation:
4m-15m-50=126
-11m=126+50
-11m=176
m=176/-11
m=-16
The value 5 is an upper bound for the zeros of the function shown below.
f(x)= x4 + x3 – 11.x2 – 9x + 18
A. True
B. False
Answer:
The given statement that value 5 is an upper bound for the zeros of the function f(x) = x⁴ + x³ - 11x² - 9x + 18 will be true.
Step-by-step explanation:
Given
[tex]f\left(x\right)\:=\:x^2\:+\:x^3\:-\:11x^2\:-\:9x\:+\:18[/tex]
We know the rational zeros theorem such as:
if [tex]x=c[/tex] is a zero of the function [tex]f(x)[/tex],
then [tex]f(c) = 0[/tex].
As the [tex]f\left(x\right)\:=\:x^2\:+\:x^3\:-\:11x^2\:-\:9x\:+\:18[/tex] is a polynomial of degree [tex]4[/tex], hence it can not have more than [tex]4[/tex] real zeros.
Let us put certain values in the function,
[tex]f(5) = 448[/tex], [tex]f(4) = 126[/tex], [tex]f(3) = 0[/tex], [tex]f(2) = -20[/tex],
[tex]f(1) = 0[/tex], [tex]f(0) = 18[/tex], [tex]f(-1) = 16[/tex], [tex]f(-2) = 0[/tex], [tex]f(-3) = 0[/tex]
From the above calculation results, we determined that [tex]4[/tex] zeros as
[tex]x = -3, -2, 1,[/tex] and [tex]3[/tex].
Hence, we can check that
[tex]f(x) = (x+3)(x+2)(x-1)(x-3)[/tex]
Observe that,
[tex]for x > 3[/tex], [tex]f(x)[/tex] increases rapidly, so there will be no zeros for [tex]x>3[/tex].
Therefore, the given statement that value 5 is an upper bound for the zeros of the function f(x) = x⁴ + x³ - 11x² - 9x + 18 will be true.
Answer:
Step-by-step explanation:
A
A student solved the problem below by first dividing 20 by 10. What mistake did the student make?
A baseball team has won 20 games and lost 10 games. What percent of the games did the team win?
step by step answer don't us em for points bc if udo ill speak to moderators on u
Answer:
around 66% of their games
Step-by-step explanation:
So if we add 20 and 10 we get 30 which is the total amount of games played. We know that the team won 20 of the 30 games which we can reduce to 2/3. 2/3 is equal to 66.66 but most people just say 66% or you can round it up to 67%
Hope I helped!
Multiply the trinomials.
(4x2-x-4)(2x?+x+12)
A. 8x4 + 12x3 + 4x2 - 6x - 48
B. 8x4 + 2x3 + 4x2 – 16x – 48
C. 8x4 + 12x3 + 39x2 - 6x - 48
D. 8x4 + 2x3 + 39x2 – 16x - 48
Answer:
C.) I believe
Step-by-step explanation:
Write a simplified expression for the area and perimeter of the figure.
a) The simplified expression for the perimeter is _____ units.
b) The simplified expression for the area is ______square units.
Answer: 4x
Step-by-step explanation:
Answer:
4x
Step-by-step explanation:
Mikael runs with a speed of 3 m/s for 45 seconds. How far does Mikael run? 15 m 30 m 90 m 135 m
Answer:
Step-Distance = (speed) x (time)
(3 m/sec) x (45 sec) = 135 meters by-step explanation:
Answer:
The correct answer is D.) 135 m
Step-by-step explanation:
I just did the instruction on edge 2021 and got it right
Gym membership costs $20 to join and then $15 per month. Find the slope and y-intercept for the data.
slope:
y-intercept:
Answer:
slope: 15
y-intercept: 20
y=15x+20
Step-by-step explanation:
can someone please answer this question fast ?
the question is in the picture down
Answer:
Yes, Always
Step-by-step explanation:
If M is the midpoint of line KL, then M, K, and L are collinear.
As you notice in the diagram, to be collinear means part of the same line.
please mark brainliest
Answer:
Always
Step-by-step explanation:
I am not drawing a scech for you have a brain
first to reply gets brainliest, only if u reply correct
Answer: D
Step-by-step explanation: If you plug in the formula, it works.
Answer:
D
Step-by-step explanation:
When solving a system of two linear equations
algebraically, how can you tell if the system has exactly one
solution?
Answer:
When both equations have the same slope, but not the same y-intercept, they'll be parallel to each other and no intersections means no solutions. When both equations have different slopes than regardless of the y-intercept they'll intersect for certain, therefore it has exactly one solution.
Step-by-step explanation:
Got this from google hope it helps
The histogram shows the heights in meters of trees in a certain section of a park. How many trees are less than 20 meters tall? A. 16, B. 9, C. 4, or D. 15
Answer:
The histogram shows the heights in meters of trees in a certain section of a park.
How many trees are less than 20 meters tall?
Answer: From the given histogram, we clearly see:
There is 1 tree with height less than 8 meters
There are 1 + 2 = 3 trees with height less than 12 meters
There are 3 + 2 = 5 trees with height less than 16 meters
There are 5 + 4 =9 trees with height less than 20 meters.
Therefore, the correct option is B. 9
Step-by-step explanation:
The average distance between the Earth and the Moon is 384 400 km.
Express it in standard form.
Answer:
[tex]3.84\times10^8\ m[/tex]
Step-by-step explanation:
It is given that,
The average distance between the Earth and the Moon is 384 400 km.
We need to express in in standard form.
1 km = 1000 m
It means,
384400 km = 384400000 km
or
= [tex]3.84\times10^8\ m[/tex]
Hence, the average distance between the Earth and the Moon is [tex]3.84\times10^8\ m[/tex].
Brenton is a phone sales specialist who makes $33,000 per year plus an $8 fee for each sale he makes. If Brenton makes 15 sales per week, what are his annual earnings?
Answer:
Brenton's annual earnings are $39,240.
Can someone tell me where to put the two points.
(0,7) , (7,8)
Y-intercept is at (0,7) and the slope is 1/7 so from the y intercept, go up 1 and over 7.
Write a linear function f with f(4)=−3 and f(0)=−2.
Answer:
f(x)=-1/4x-2
Step-by-step explanation:
m=-3-(-2)/4-0=-1/4= slope
b=y-intercept=-2,
so f(x)=-1/4x-2
A linear function f with f(4)=−3 and f(0)=−2 is
[tex]f(x)=-\frac{1}{4}x-2[/tex]
Given :
a linear function f with f(4)=−3 and f(0)=−2.
f(0)=-2. It means y intercept is -2
Linear equation of a line is given by y=mx+b
where m is the slope and b is the y intercept
y intercept b is -2
Lets find out slope m . Lets use f(4)=-3 that is when x=4 the value of y is -3
[tex]y=mx+b\\y=mx-2\\x=4, y=-3\\-3=m(4)-2\\-3+2=4m\\-1=4m\\m=-\frac{1}{4}[/tex]
Now we replace in the equation of line y=mx+b
[tex]y=mx+b\\y=-\frac{1}{4}x-2[/tex]
Replace y with f(x) to get linear function
[tex]f(x)=-\frac{1}{4}x-2[/tex]
Learn more: brainly.com/question/19065330
Yolanda Downey’s checking account balance was $182.63. She made a deposit of $218.55 and wrote checks for $25, $30.17, and $46.07. Record each transaction and keep a running balance on the worksheet. What was the new balance in Yolanda’s check register?
Answer:299.94
Step-by-step explanation:youre welcome
What is the hypothesis in this conditional statement?
It is true that 7y - 5 = 9; thus, y = 2.
Answer:
yes
Step-by-step explanation:
heres why
Step 1: Add 5 to both sides.
7y−5+5=9+5
7y=14
then ima divide 14 by 7 which equals 2
14/7y =2
so its true
PLEASE HELP, MARKING BRAINLIEST!!!!
If 30/t = 18/r, then t/r =
Answer:
30/t = 18/r
30 = 18t/r
30r = 18t
18t = 30r
18t/18 = 30r/18
t = 5/3r
--------------------
30/t = 18/r
30r = 18t/r
30r = 18t
30r/30 = 18t/30
r = 3/5 t
---------------------
r = 3/5t, t = 5/3r
Zach lives in Salina, Kansas. Gina lives 45 miles east in Junction City, Kansas. Gina and Zach both leave their houses at the same time, heading east on I-70. Zach drives 65 miles per hour and Gina drives 55 miles per hour. Zach wants to determine how long it will take before he catches up with Gina.
Answer:
4.5 hours
Step-by-step explanation:
Given that Gian lives 45 miles east of Salina where Zach lives.
At the same time, both start driving in the same direction towards the east, Zach drives 65 miles per hour and Gina drives 55 miles per hour.
Let A and B are the initial locations of Zach and Gina respectively, after t hours they meet at point C which x miles east of point B as shown in the figure.
Distance traveled by Gina = BC= x miles
As distance = speed x time, so
[tex]x= 55 \times t \cdots(i)[/tex]
Similarly, distance traveled by Gina = AC= (45+x) miles
As distance = speed x time, so
[tex]45+x= 65 \times t \\\\[/tex]
[tex]\Rightarrow 45+55t= 65 \times t[/tex] [ using equation (i)]
[tex]\Rightarrow 10t= 45 \\\\[/tex]
[tex]\Rightarrow t = 45/10 = 4.5[/tex] hour
Hence, the required time is 4.5 hours.
What’s a swimmer's favorite kind of math? Dive-ision!
Hope your having a great day!!!
Answer:
I hope you're having a great day too! And thanks for the joke :)
Step-by-step explanation:
Couldn't show it all but I need help