Answer:
the answer is D. have a nice day :)
find the value of x
Answer:
x = -14
Step-by-step explanation:
Look at the image attatched. I have labeled the angles for better explanation.
We know that angle 1 is 54 degrees as is rests on a straight line with its adjacent angle at 126 degrees. This means that angle 1 would be 180 - 126 degrees, or 54 degrees. We also know that angle 1 and 3 must be congruent as the sides of the triangle opposite those angles are congruent as well. This means that both those angles are 54 degrees. Since the sum of all angles in a triangle must equal 180 degrees, we can get that angle 4 is 180 - (2*54) degrees, or 72. Since angle two and angle 4 both lie on a straight line, they must add up to 180 degrees. This means that the value of angle 2 would be 180 - 72, or 108 degrees. Since angle 2 is also equal to x+122, we get the equation:
108 = x + 122.
We then solve this by getting:
x = 108 - 122
which gives us the answer of
x = -14
Answer: x = -14
Step-by-step explanation:
a) Top triangle, top angle: Using the Linear Pair Postulate, 180° - 126° = 54°
b) Top triangle, bottom left angle: Congruent sides implies congruent angles = 54°
c) Bottom triangle, top left angle: Using the Complimentary Angles Postulate, 90° - 54° = 36°
d) Bottom triangle, bottom angle: Congruent sides implies congruent angles = 36°
Triangle Sum Theorem states that the sum of the three angles must equal 180°.
36° + ∠2 + 36° = 180°
36° + (x + 22) + 36° = 180°
x + 194 = 180
x = -14
Which is equivalent to 3v8
Answer:
C.
Step-by-step explanation:
= [tex]\sqrt[3]{8}^{x}\\[/tex]
= Since [tex]\sqrt[3]{} = ^{1/3}[/tex]
= So, It becomes :
= [tex]8^{\frac{x}{3}[/tex]
what is the answer to this please?
-3(x+2)+5x = -9
Answer:
[tex]-3(x+2)+5x=-9\\-3x-6+5x=-9\\-3x+5x=-9+6\\2x=-3\\x=-\frac{3}{2}[/tex]
Here is a scale drawing of a swimming pool where 1 cm represents 1 m. The dimensions of the drawing are 6.5 cm by 13 cm.
How long and how wide is the actual swimming pool?
Answer:
1cm
Step-by-step explanation:
Question #2: show my work
2x + 5y = 3
-2x - y = 5
Answer:
x = -7/2, y=2
Step-by-step explanation:
2x + 5y = 3
-2x - y = 5
Add the two equations together to eliminate x
2x + 5y = 3
-2x - y = 5
------------------------
4y = 8
Divide each side by 4
4y/4 = 8/4
y =2
Now find x
2x +5y =3
2x +5(2) =3
2x+10 =3
Subtract 10
2x = -7
Divide by 2
2x/2 = -7/2
x = -7/2
If the federal government collects $1500 from every tax payer but spends $2500 on each tax payer every 12 months what is a function that would describe the amount of money earned by the government
Answer:
The government loses $1000 per tax payer, according to the following function:
[tex]y(x) = -1000*x[/tex]
Where "y" is the total money earned by the government and "x" is the number of tax payers.
Step-by-step explanation:
Let's call the monetary balance of the government after one year "y", where "x" is the number of tax payers. Since each tax payer, "x", pays a total of $1500 every year, but the government spends $2500 with each one of them, then we can build a function "y(x)", with the value of collected tax being positive while the cost of each tax payer is negative, as shown below:
[tex]y(x) = 1500*x - 2500*x\\y(x) = x*(1500 - 2500)\\y(x) = -1000*x[/tex]
The government loses $1000 per tax payer.
John goes running every morning. He can run 3 miles in 1 hour. How many miles would he be able to run in 1 and ½ hours?
Answer:
4.5 or 4 1/2 miles
Step-by-step explanation:
[tex]\dfrac{3\text{ miles}}{\text{hour}}\cdot 1.5 \text{ hours}= 3\cdot 1.5=4.5[/tex]
Hope this helps!
1. An arch in the shape of a semicircle is to be set up at the entrance of a festival.
The distance around the arch is about 110 feet. What is the height of the arch, in
feet? Round your answer to the nearest whole number.
Answer:
35 ft
Step-by-step explanation:
The arch is in the shape of a semicircle.
The distance around the arch is about 110 feet. This is the same as the circumference of the arch.
The height of the arch is the radius of the arch.
The circumference of a semicircle is given as:
[tex]C = \pi r[/tex]
where r = radius
Therefore:
110 = πr
=> r = 110/π
r = 35.01 ft ≅ 35 ft
The height of the arch is 35 ft
The height of the arch in feet is 35 ft.
Calculation of the height:Since The distance around the arch is about 110 feet.
We know that
The circumference of a semicircle should be
110 = πr
[tex]r = 110/\pi[/tex]
r = 35.01 ft
≅ 35 ft
hence, we can conclude that The height of the arch in feet is 35 ft.
Learn more about height here: https://brainly.com/question/4089721
A rectangle has length x+2 and width x+1. Which equation correctly represents the perimeter of the rectangle? 1. 2(x+2)=2x+4 2. 2(2x+3)=4x+6 3. 2(2x+3)=4x+3 4. 2(x+1)=2x+2
Answer:
4x+6
Step-by-step explanation:
P=2L+2W
P= 2(x+2) +2(x+1)
P= 2x+4+2x+2
P= 4x+6
Plz answer fast and help mr
Answer:
The median is 47
Step-by-step explanation:
that line in the middle of the box is directly on 47
Complete the equation of the line through (–6,5) and (-3, -3).
Use exact numbers.
Answer:
-3, -3
Step-by-step explanation:
PLEASE HELP ME I WILL GIVE BRAINLIEST
A 40-question test has 108 possible points. There are m 4-point questions and n 2-point questions. How many of each type of questions are on the test?
Answer:
there are fourteen 4-point questions and twenty six 2-point questions.
Step-by-step explanation:
Given : A 40-question test has 108 possible points.
There are m 4-point questions and n 2-point questions.
So , equation for total number of questions in the test :
m + n = 40 | 4n + 2n = 108
Multiplying (i) by 2 , we get
2m + 2n = 80
Subtract (iii) from (ii) , we get
2m = 28
⇒ m = 28/ 2 = 14
Using value of m in (i) , we get
14 + n = 40 ⇒ n = 26
from this we get there are fourteen 4-point questions and twenty six 2-point questions.
hope this helped!
Lines l and m are parallel.
Use the diagram to determine the measure of ∠3.
Answer:
∠3 is 70°
Step-by-step explanation:
∠1 is 50° since it is across from another 50° angle
and then you use the equation x+25+2x+50=180 to find x
x then equals 35°
you then use the alternate interior angle theorem to say that ∠3 is 2x, or 70°
Answer:
It is 70
Step-by-step explanation
right on egde 2020.
Point P is located at (−2, 7), and point R is located at (1, 0). Find the y value for the point Q that is located two thirds the distance from point P to point R. 4.9 4.7 2.5 2.3
Answer:
5.1
Step-by-step explanation:
Before we calculate the y value for the point Q that is located two thirds the distance from point P to point R, we need to get the distance of point p from point R using the formula for calculatingf the distance between two points
D = √(x2-x1)²+(y2-y1)²
Given P(−2, 7), and R(1, 0)
RP = √(1-(-2))²+(0-7)²
RP = √3²+(-7)²
RP = √9+49
RP =√58
To get the y value for point Q that is located two thirds the distance from point P to point R, this will give
PQ = y = 2/3 of √58
= 5.1
Answer: I Believe its 2.3
Step-by-step explanation:
P is located at (-2,7)
R is located at (1,0)
Look at the y coordinates
P(-2,7) R(1,0)
7 to 0= distance of 7
multiply 2/3 by 7 = 4.7 (it was originally 4.666666665 but i couldnt find the answer with just 4.6 so i rounded it to 4.7)
Now plug in the info we know:
.y axis = 7 - 4.7 = 2.3
Hope this helped! Im taking the test and ill be back if this is wrong
Find the mean of the following group of numbers: 1.2, 2.3, 0.8, 2.3, 1.0, 3.1,
4.2, 1.4, 2.1, 0.4, 1.3, 2.0, 1.8, 3.2*
Answer:
1.93
Step-by-step explanation:
1.To find the mean you need to add all the numbers
2. Next divide by how many numbers they are
Example:
1,2,3,4
1. Add the numbers together
(1+2+3+4=10)
2. Divide by how many numbers they are
(There are only 4 numbers)
So..... 10 ÷4 =2.5
So 2.5 is the mean
How many real number solutions exist for 2x2 + 8x + 8 = 0?
A. 0
B. 1
C. 2
D. 3
Whats the answer i rlly need help
Answer:
B
Step-by-step explanation:
2x^2+8x+8=0
x^2+4x+4=0
(x+2)^2=0
so B, 1 solution
Find the greatest common factor of 26 and 14.
Answer:
2
Step-by-step explanation:
A factor is a number that can evenly divide into another number.
Let’s list all the factors of both numbers.
26: 1, 2, 13, 26
14: 1,2, 7, 14
Now find the GCF, or greatest common factor. The biggest number that is a factor of both 26 and 14 is 2.
Therefore, the GCF of 26 and 14 is 2.
is (1,8) a solution of the equation 3x + 5 = y ?
A True
B False
Answer:
A.
Step-by-step explanation:
Plug it in:
3 + 5 = 8
TRUE
Yoooooo help me out pls
-ayyyyy
Answer:
probably a. metres
Step-by-step explanation:
hectometres are huge and the other two are super small so thats my guess lol
Answer:
Step-by-step explanation:
A square meters-
Millimeters are super small
And the other ones are to huge
Dats easy
Write the equation of the line that contains the
points (4, -7) and (1,5).
Answer:
y=-4x+9
Step-by-step explanation:
y=-4x+9
m=y2-y1/x2-x1
m= 5-(-7)/1-4
m=12/-3=-4
y=-7 m=-4 x=4 find b
y=mx+b
-7=4*4 +b
b=-7+16 = 9
Evaluate 3z when z=9
Answer:
27
Step-by-step explanation:
given value of Z=9
so, 3×9=27
Ashley is on her way home in her car. She has driven 18 miles so far, which is two-thirds of the way home. What is the total length of her drive?
____ Miles
Answer:
27 miles
Step-by-step explanation:
2/3rds of the way home is 18 miles
2/3 d = 18
Multiply each side by 3/2
3/2 * 2/3 = 18 *3/2
d = 27
The distance is 27 miles
angles M and N are supplementary find angle M if angle N=27
Answer:
153°
Step-by-step explanation:
Supplementary = 180 degrees
180 - 27 = 153 degrees
Answer:
153 degrees
Step-by-step explanation:
When two angles are supplementary, their angle measures must add up to 180 degrees. Therefore:
M+N=180
M+27=180
M=180-27=153
Hope this helps!
What is the surface area of a cone that has a radius of 5 units and a height of 10 units?
235.5 units^2 or 75π
Here is why:
The formula for the surface area of a cone is...
[tex]SA=\pi r^2+\pi rl[/tex]
Since you didn't specify if you wanted an exact or approximate answer, I will be doing both. The lateral height is l, so I'm going to assume the height you gave is the lateral height. We can now plug everything in.
[tex]SA=(3.14*5*5)+(3.14*5*10)[/tex]
[tex]SA=78.5+157[/tex]
[tex]SA=[/tex]
235.5
Now that we have the approximate answer, we will find the exact answer or the answer in pi.
[tex]SA=(\pi *5*5)+(\pi *5*10)[/tex]
[tex]SA=25\pi +50\pi[/tex]
[tex]SA=[/tex]
75π
~
The approximate answer for the surface area of the cone is 235.5 units^2 and the answer in terms of pi is 75π.
At a local frozen yogurt shop you have a choice of 6 different flavors of yogurt and 18 different toppings. There would be how many ways to select yogurt and a topping? (Permutations and combinations)
Answer:
108
Step-by-step explanation:
What are two other words used for hypotenuse
Answer:
solo la conosco como ipotenuza
Step-by-step explanation:
Answer:
flank right-angled triangle right triangle
Step-by-step explanation:
Part : Find g(x) by identifying the function you are taking the square root of
Answer:
g(x) = (3x-4)
Step-by-step explanation:
F(x) = sqrt( 3x-4)
We are taking the square root of (3x-4)
so g(x) = (3x-4)
Find the slope of the line 25 points
y
=
9
7
x
+ 1
.
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
97
Step-by-step explanation:
y=mx+b
m= slope
y=97x+1
Solve the following system of equations graphically. Select the graph that shows the correct solution of the system. 2x +y =3 3y= x - 12
Answer:
The second figure is the correct figure.
Step-by-step explanation:
Graph (ii) is solution of system of equation.
We have to given that,
System of equations are,
2x + y = 3
3y = x - 12
Now, Solve the equations and find the solution,
Here, Equations are,
2x + y = 3 .. (i)
3y = x - 12 .. (ii)
From (i);
y = 3 - 2x
Substitute in (ii);
3 (3 - 2x) = x - 12
9 - 6x = x - 12
9 + 12 = 6x + x
7x = 21
x = 3
And from (i);
2 × 3 + y = 3
6 + y = 3
y = - 6 + 3
y = - 3
Hence, Solution is, (3, - 3).
So, Graph shown in option (ii) has intersection point (3, - 3)
Thus, Graph (ii) is solution of system of equation.
Learn more about systems of equations at:
brainly.com/question/14323743
#SPJ2
Please help! Correct answer only!
In a carnival game, there is a machine that will shuffle a deck of 50 cards numbered from 1 to 50 and then spit one card out. If the number on the card is odd, you win $15. If the number on the card is even, you win nothing. If you play the game, what is the expected payoff?
$___
Answer:
$7.50
Step-by-step explanation:
Since there is a 50% chance that the card is odd, the expected payoffs would be $15 * 50%=0.5*15=7.5. Hope this helps!