Answers
Answer:
x = 9
Step-by-step explanation:
Vertical angles are congruent ( equal to each other )
So if ∠A and ∠B are vertical angles than they are congruent ( so ∠A = ∠B )
If ∠A = 2x + 1 and ∠B = x + 10
Then 2x + 1 must equal x + 10
( note that we've just created an equation that we can use to solve for x )
We now solve for x using the equation we just created
2x + 1 = x + 10
Subtract x from both sides
x + 1 = 10
subtract 1 from both sides
x = 9
Related Questions
How many distinct lines of symmetry does the image have?
The image has rotational symmetry after rotating every
Answers
Answer:
1) 6 lines of symmetry
2) 360 ÷ 6 = 60°
Caleb wants to rent a kayak. Kayak rentals cost $70.58  for a half hour. If Caleb rents a kayak for 5.0 hours, how much will it cost him?
Answers
Step-by-step explanation:
divide each of the following: using the two methods
Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.
Second-degree, with zeros of −4 and 6, and goes to −∞ as x→−∞.
p(x) =
Answers
9514 1404 393
Answer:
p(x) = -x^2 +2x +24
Step-by-step explanation:
When the polynomial has a zero at x=q, it has a factor of (x -q). The zeros of -4 and 6 tell you the factors are (x -(-4)) and (x -6). The end behavior tells you the leading coefficient is negative.
p(x) = -(x +4)(x -6)
p(x) = -x^2 +2x +24
A class has 40 students. Number of boys are 6 more than girls. Find number of boys
and girls in the class.
Answers
Basically let's represent the number of girls with x.
There are 6 more boys than girls, so x+6
Let's sum it all up
x+x+6=40
Collect like terms;
2x+6=40
2x=40-6
2x= 34
Divide both sides by 2
x=17
17+6=23
Therefore there are 17 girls in the class and 23 boys.
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There are 3 feet in 1 yard This is equivalent to 12 feet in 4 yards which proportion can be used to represent this?
oft
Answers
Answer:
3/1 or 12/4
Step-by-step explanation:
This is the case because all you are doing is converting it into a fraction.
. 3 feet to 1 yard- 3/1
.12 feet to 4 yards- 4/12
What is the solution to the following equation? Please help!
Answers
Answer :
D
Step By Step Explanation :
Maya, Greg, and Austin sent a total of 81 text messages during the weekend. Austin sent 2 times as many messages as Maya. Greg sent 9 more messages than Maya. How many messages did they each send?
Answers
Austin =36
The weight of two fish tighter is 16 kg. If one fish weight is 10.5 kg, find the ratio of
the weight of the smaller fish to that of the bigger fish.
Answers
A sequence is defined recursively by
a1=4
an=34an−1
What is the explicit form of this sequence?
Answers
9514 1404 393
Answer:
an = 4×34^(n-1)
Step-by-step explanation:
If your recursive definition is ...
[tex]\begin{cases}a_1=4\\a_{n}=34a_{n-1}\end{cases}[/tex]
this defines a geometric sequence with a first term a1 = 4 and a common ratio of r = 34. The general form of the explicit function is ...
[tex]a_n=a_1\times r^{n-1}[/tex]
For the values shown here, the explicit definition of the sequence is ...
[tex]\boxed{a_n=4\times 34^{n-1}}[/tex]
Our material handlers make $15 per hour, and it takes them about 15 minutes to complete this process. How much is our handling cost?
Answers
Answer: $3.75
Step-by-step explanation: $15x15=225/60= 3.75
Our material handling cost is $3.75.
What is cost?A cost function is a mathematical formula used to used to chart how production expenses will change at different output levels.
How to find the cost per process?Material handlers make $15 per hour
If it takes them about 15 minutes to complete this process then process in an hour is 60/15 =4
The cost per process is 15/4 =3.75.
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A farmer wants to enclose a rectangular field of 15,000 ft^2. It’s width is 470 ft less than its length. What are the dimensions of the field.
Answers
Given that the area of the rectangular field is 15,000 sq. ft and it's width is 470 ft less than the length of the of the field, the dimensions of the field would be:
Length = 500 ftWidth = 30 ftRecall:
Area of rectangle: A = length x widthGiven:
Area of rectangular field = 15,000 sq. ftlength = lwidth = l - 470Required:
Dimensions of the field (the length and the width).Thus, using the area formula, the equation below is derived:
[tex](l)(l - 470) = 15,000[/tex]
Solve for l[tex]l^2 - 470l = 15,000\\\\l^2 - 470l - 15,000 = 0\\\\[/tex]
Factorize[tex](l + 30)(l - 500) = 0\\\\[/tex]
[tex]l = -30 $ or $ l = 500[/tex]
We will go with the positive value, which is 500.
Therefore, the length of the rectangular field is 500 ft.
Width = l - 470
Plug in the value of lWidth = 500 - 470
Width = 30 ft
Therefore, given that the area of the rectangular field is 15,000 sq. ft and it's width is 470 ft less than the length of the of the field, the dimensions of the field would be:
Length = 500 ftWidth = 30 ftLearn more here:
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Keith plays basketball at a gym. He can get a $20 membership card and pay $2 for every visit, or he can go any time and just pay $5 for each visit. Which two equations represent the two options for his
number of visits with his total ccost?
Answers
Step-by-step explanation:
Got it. Hope this will help.
When a truck full of boxes arrives at the Silvergrove Post Office, Miguel unloads the truck by placing the boxes
on a conveyor belt. Miguel's coworkers are impressed with how fast Miguel does his job. Miguel can unload 10
boxes in 5 minutes. How long does it take him to unload 40 boxes?
Answers
Answer:
20 minutes
Step-by-step explanation:
If Miguel can unload 10 boxes in 5 minutes, that means that he loads 2 boxes per minute. Assuming he he has a constant unloading speed, it would take him 20 minutes to unload all 40 boxes.
I found this by dividing 40 (boxes) by 2 (min per box)
Triangle KLM is similar to triangle NOP. Find the measure of side PN. Figures are not
drawn to scale.
Answers
Answer:
look at the photo............
4
Calculate the area of the shaded region. Round to the nearest tenth, as needed.
59
1.3 m 1.7 m
Answers
Answer:
0.9m²
Step-by-step explanation:
Find the area of the larger circle, the radius is 0.85m because the diameter is double this - 1.7m:
a = πr² = π × (0.85)² = 289/400πFind the area of the smaller circle, the radius is 0.65 because the diameter is double this - 1.3m:
a = πr² = π × (0.65)² = 169/400πSubtract the two area:
289/400π - 169/400π = 120/400π = 3/10π or 0.942477.. ≈ 0.9m²
Simplify each expression.
(a^2b^-3/a^-2b^2)2
Answers
Answer: a^8/b^10
Step-by-step explanation:in the picture
find c. 2cm 15 degrees 105 degrees C= [?]cm
Answers
Answer:
the answer is 122cm
Step-by-step explanation:
105cm+15cm+2cm=122cm
choose all numbers that round to 30,000 when rounded to the nearest ten thousand
a. 28,5602
b. 20,347
c. 27,563
d. 22,547
Answers
Answer:
A & C
Step-by-step explanation:
If f(x) is a linear function, what is the value of n?
Х
-4
f(x)
1-25
-10
-1
n
20
2
4
9
Answers
Answer:
The value of n is 5.
Step-by-step explanation:
We have been given that f(x) is a linear function and we are asked to find the value of n from the provided table.
x f(x)
-4 -25
-1 -10
n 20
First of all we will find the slope of the given using our given points (-4,-25) and (-1,-10) in slope formula.
m = y2-y1/x2-x1
Upon substituting coordinates of our given points we will get,
m = -10--25/-1--4
m = -10+25/-1+4
m = 15/3
m = 5
Since we know that the equation of a line in slope-intercept form is:
y = mx + b,where, m= Slope and b= y-intercept.
Upon substituting m = 5 in slope-intercept form of equation we will get,
y = 5x + b
Now let us find y-intercept by substituting coordinates of one point in our given line.
-10 = 5(-1) + b
-10 = -5 + b
-10 + 5 = -5 + 5 + b
-5 = b
y = 5x - 5
Now let us find value of n by substituting x = n and y = 20 in our equation.
20 = 5 * n - 5
20 + 5 = 5 * n - 5 + 5
25 = 5 * n
25/5 = 5 * n/5
5 = n
Therefore, the value of n is 5.
Supposed the length of a rectangle is three times the width and the area is 300 ft.² then what is the width of the rectangle in feet
Answers
Step-by-step explanation:
the area is
A = length × width.
length = 3 × width
=>
A = 3 × width × width = 3 × width²
300 = 3 × width²
100 = width²
width = 10 ft
Select yes or no for each literal equation.
Answers
Answer:
No, Yes, Yes
Step-by-step explanation:
[tex]5x + 2y = 3[/tex]
2y = 3 - 5x
y = (3-5x) / 2
FALSE
[tex] \frac{w + 8}{2} = p[/tex]
2P = w + 8
w = 2P - 8
TRUE
[tex]ax + by = c[/tex]
by = c - ax
y = (c - ax) / b
TRUE
What is the value of k?
help!!!!
Answers
Answer:
k = 10°Step-by-step explanation:
[tex] {115}^{o} = {(4k + 5)}^{o} + {(6k + 10)}^{o} \\ [/tex]
An exterior angle of a triangle is equal to the sum of its two interior opposite angles.
[tex] {115}^{o} = {(4k + 5)}^{o} + {(6k + 10)}^{o} \\ {115}^{o} = 4k + 5 + 6k + 10 \\ {115}^{o} = 10k + 15 \\ {115}^{o} - 15 = 10k \\ {100}^{o} = 10k \\ \frac{100}{10} = k \\ {10}^{o} = k \\ [/tex]
On Mrs. Sean's desk,
there are pink and yellow
markers. The ratio of pink
markers to total markers
is 1:3. If there are 16
yellow markers, then how
many markershare pink?
Answers
Since the ratio of pink markers to total markers is 1:3, then there are 8 pink markers.
Number of yellow markers given = 16
Based on the information given, therefore, the pink markers will be half of the yellow markers. This will be:
= 1/2 × 16
= 8 markers
Therefore, the total markers will be:
= 8 + 16 = 24
In conclusion, pink markers will be 8/24 = 1/3. Therefore, the number of pink markers is 8.
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help for brainliest also 30 points
Answers
[tex]\\ \sf\longmapsto 4(x+7)=6x-28[/tex](Corresponding angles are equal)
[tex]\\ \sf\longmapsto 4x+28=6x-28[/tex]
[tex]\\ \sf\longmapsto 6x-4x=56[/tex]
[tex]\\ \sf\longmapsto 2x=56[/tex]
[tex]\\ \sf\longmapsto x=28[/tex]
Select the correct answer.
What is the equation of the line that has a slope of 1 and passes through the point (1,5)?
Y - 1 = (x + 5)y - 1 = (x + 5)
y - 5 = (x - 1)y - 5 = (x - 1)
y + 1 = (20 – 5)y + 1 = (x - 5)
y + 5 = (x + 1)y + 5 = (1 + 1)
Please I need answer ASAP!! I’ll make you brainliest!!
Answers
Answer:b
Step-by-step explanation:
1. Scale 1 cm = 250 km
25
Using the scale above, calculate to find how
many km are in the following map distances:
a.) 2 cm =
km
b.) 5 cm
km
c.) 3 cm=
km
Answers
Answer:
a= 500km b= 1,250 c= 750
Step-by-step explanation:
a= 250x2=500km
b= 250x5=1,250km
c= 250x3=750km
How do you evaluate -98 - 13
Answers
Evaluations can only be done with algebraic equations
Answer:
-111
Step-by-step explanation:
Subtract 13 from -98
Solve for x.
5x−2(x+1)=1/4
Enter your answer as a fraction in simplest form in the box.
x =
Answers
Answer:
x=3/4
Step-by-step explanation:
Answer:
X= 3/4
Step-by-step explanation:
Distribute
Combine like terms
Add 2 to both sides of the equation
Simplify
Divide both side s of the equation by the same turm
Simplify
I need the answer ASAP
Answers
Answer:
It would be 120 inches squared.
Step-by-step explanation:
12 x 8 = 96
6 x 4 = 24 / 2 = 12
12 x 2 = 24
96 + 24 = 120 inches squared
Answer: 80 in 2 cm
Step-by-step explanation: so if you add you can find it but add you answer you get 2 times and round to the nearest ten and you have your answer.
Frank Camp's regular hourly pay rate is $11.87 an hour. His overtime pay rate is time and-a-half. How much
is Frank paid per hour for overtime work?
Answers
Answer:
$17.81
Step-by-step explanation:
11.87 x 1.5 = 17.805