Triangle GHJ has the exterior angles shown below. Triangle G H J. The exterior angles are (9 x + 6) degrees, (10 x + 7) degrees, (10 x minus 1) degrees. For Triangle G H J, what is the value of x? 2.7 5.8 12 29
Answer:
b) 5.8
Step-by-step explanation:
Explanation
Given diagram the angles are (9 x + 6)°, (10 x + 7)°, (10 x - 1)°
we know that the sum of the angles of the triangle is equal to 180°
∠A +∠B +∠C = 180°
(9 x + 6)°+(10 x + 7)°+ (10 x - 1)° = 180°
On simplification , we get
29 x + 12 = 180
29 x = 180 -12
29 x = 168
x = 5.79 ≅ 5.8
Answer:
b
Step-by-step explanation:
Really need help can someone help me with this problem plz! I need help asap! Someone plz help me plz plz help me!
Answer:
x = 358. / Maximum amount of money for sales = $3,759
Step-by-step explanation:
x + 26 = 384. Inverse operations
-26. -26
x = 358
358($10.50) = $3,759
Joe went shopping yesterday. He saw a new Wii game that costs $55.00. It was on sale for 20% off. How much did Joe pay for the game after the discount? (don't include tax)
Answer:
the answer is 1100
Step-by-step explanation:
you will do... 5500*20/100
Please help! Correct answer only!
There are 10 cards in a hat, numbered 1 to 10. The game is to draw one card out of the hat. If the number you draw is even, you win $30. If the number you draw is odd, you win nothing. If you play the game, what is the expected payoff?
$___
Answer:
$15
Step-by-step explanation:
Since there are 10 cards and a total possible prize of 30 dollars, the probability for each one is 30/10=3 dollars. And since 5 out of the 10 are even, you can multiply the individual amount by 5 to get a total estimated payout of $15. Hope this helps!
What is the vertex of the function f(x)=3(x-4)^2+5
Answer:
vertex = (4, 5 )
Step-by-step explanation:
The equation of a parabola in vertex form is
f(x) = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
f(x) = 3(x - 4)² + 5 ← is in vertex form
with vertex = (4, 5 )
Please help me with my question!!
[tex](5^3)^7[/tex]
[tex]5^{3 \times 7}[/tex]
[tex]5^{21}[/tex]
Answer:3*7=21 not 10
You have to multiply the number outside brackets with the inner number
Step-by-step explanation:
If m∠P = (7x – 22) ° and ∠P is a right angle, find the value of x.
Answer:
16
Step-by-step explanation:
If P is a right angle the the value of 7x - 22 would be equal to 90°
7x - 22 = 90°
7x = 112°
x = 16
Please help me please
Answer:
SAS similarity theorem
Step-by-step explanation:
Both the triangles are similar by SAS similarity theorem.
what is the point-slope form of a line with slope -3 that contains the point 10, -1
Answer:
C. [tex] y + 1 = -3(x - 10) [/tex]
Step-by-step explanation:
The point-slope equation of a line:
[tex] y - y_1 = m(x - x_1) [/tex]
where m = slope, and the point is (x1, y1).
In this case, the point is (10, -1), so x1 = 10 and y1 = -1.
The slope is -3, so m = -3.
[tex] y - (-1) = -3(x - 10) [/tex]
[tex] y + 1 = -3(x - 10) [/tex]
The following pie chart represents how many absences the students of Washington Middle School had during the first quarter. What percentage of the students had less than two absences during the first quarter?
Answer:
68
ignore the rest of this i need 20 charecters
Answer:
68%
Step-by-step explanation:
Urvi solved a fraction division problem using the rule “multiply by the reciprocal.” Her work is shown below.
Answer:
Step-by-step explanation:
keep change flip
when rewriting in the form y=a(x-h)+k, by completing the square, the relation y=-x*2+6x+12 becomes:
Answer:
Step-by-step explanation:
you can complete the square or use a calculator online that does it for you.
the equation is in the for y = a(x-h)^2 + k
it should be y = (x + 3)^2 + 3
Answer:
The correct answer is [tex]y = - (x - 3)^{2} +21[/tex].
Step-by-step explanation:
To solve this equation (y = [tex]-x^{2} +6x + 12[/tex]), we want to first complete the square. To do this, we want to add a -9 to the expression in order to achieve [tex]y = -x^{2} +6x - 9 + 12[/tex].
Then, you want to add the -9 to the other side of the equation to get [tex]y - 9 = -x^{2} + 6x - 9 + 12[/tex].
Then, we factor out the negative sign from the right side of the equation. This is a negative 1 that can therefore make the polynomial easier to factor. This leaves us with [tex]y - 9 = -(x^{2} -6x+9) + 12[/tex].
Now, we use an identity in algebra that is difference of two squares identity. This says that [tex]a^{2} -2ab +b^{2} =(a-b)^{2}[/tex].
So, we will then factor the trinomial -[tex]x^{2} -6x+9[/tex] to get [tex]-(x-3)^{2}[/tex]. Our new and updated equation is [tex]y-9 = -(x-3)^{2} +12[/tex].
Now, we move the constant of -9 to the right side of the equation. This just means we are going to add this to 12. This gives us [tex]y = -(x-3)^{2} +21[/tex].
This is our final equation.
is it true or false , why and why not ?
9a is equivalent to 11a - 2a
Answer:
true
Step-by-step explanation:
11a - 2a
Factor out a
a(11-2)
a *9
9a
Answer:
9a is equivalent to 11a - 2a because 11a-2a=9a
Step-by-step explanation:
What is the probability of spinning an A?
Answer:
25%
Step-by-step explanation:
There are 8 slices in the spinny thingy.
There are 2 A's
[tex]\frac{1}{4}[/tex] = 25%
Explain how to solve this problem by writing down the steps. The grass on the field erodes by -1 1/2% every year. If the total length of grass on the field was 220 feet long 3 years ago, how long is the length of grass on the field now?
Answer:
Step-by-step explanation:
Since the grass on the field erodes by -1 1/2% every year, it means that the rate of erosion is exponential. It is therefore eroding in geometric progression. We would apply the formula for determining the sum of n terms of a geometric sequence which is expressed as
Sn = a(1 - r^n)/(1 - r)
Where
n represents the number of terms(number of years) in the sequence.
a represents the first term in the sequence(the length 3 years ago)
r represents the common ratio(rate of erosion)
From the information given,
a = 220 feet
r = - 1.5/100 = - 0.015
n = 3
Therefore, the length of the field after 3 years, S3(length of the field now) would be
Sn = a(1 - r^n)/(1 - r)
S3 = 220(1 - (- 0.015^3)/(1 - - 0.015)
S3 = 220.0007425/1.015
S3 = 216.7495 feet
I will give you brainliest!!!! Use substitution method to solve the system of equations. y=6x-5 y=x+5
Answer:
(2,7)
Step-by-step explanation:
y=6x-5
y=x+5
Since they are both equal to y, set them equal to each other
6x-5 = x+5
Subtract x from each side
6x-x-5 = x+5-x
5x-5 = 5
Add 5 to each side
5x-5 +5 = 5+5
5x=10
Divide by 5
5x/5 = 10/5
x=2
y = x+5
y = 2+5
y =7
Answer:
Choice C: (2,7)
Step-by-step explanation:
Using substitution method let y = x + 5
We have x + 5 = 6x - 5
Get let’s get rid of the 6x, so -5x + 5 = -5
Get rid of the 5 by subtracting by 5, so -5x = -10
Divide -5 on both sides and you get x = 2
Input 2 for x in y = x + 5, we get y = 2 + 5, which equals 7.
So (2,7)
Please mark BRAINLIEST!
4. Al restar 5 x ᶺ 2 – 8 x + 9 con – 9 + 16 x – 25 x ᶺ 2 se obtiene como resultado (Procedimiento)
Step-by-step explanation:
SE RESTAN ENTRE LOS NÚMEROS QUE TIENEN LA MISMA VARIAVLE.
[tex](5x^{2} + 25x^{2})[/tex] - (8x - 16x) + (9 + 9) = [tex]30x^{2}[/tex] - 24x + 18
The budget for Ohio is 69.1 billion with a population of 11.69 million residents. Round all scientific answers with two decimals with no spaces. Example: 1.23x10^4 or 1.23E4 Write the budget in scientific notation. 1 point Debt: Write the population in scientific notation. 1 point Population: Calculate the Budget Per Capita and write your answer in standard notation. Round to a whole number. 2 points Use the budget per capita in a sentence explaining what this value means. 4 points
Answer:
Step-by-step explanation:
Hello,
This question requires us to convert numbers from standard form to scientific form. This can easily be done using a calculator or just writing the number down then put a decimal point after the first digit and count the rest which would be raised to the power of that number.
Budget = 69.1 billion
Converting this to scientific form = 6.91×10¹⁰
Population = 11.67 million
Converting this to scientific form = 1.167×10⁷
Budget per capita refers to budget allocated to each individual in the population.
Budget per capita is used to compare economic indices or indicators of various countries with different population sizes.
Budget per capita = budget / total population
Budget per capita = 6.91×10¹⁰ / 1.169×⁷
Budget per capita = 5911.03
What this implies is that for each individual living in the state of Ohio, the amount budgeted for that particular period (mostly in a given year) is 5911.03
WILL BE GIVING BRAINLIEST
Answer:
5 1/3
Step-by-step explanation:
16 = 3a
a = 16/3 = 5 1/3
Answer:
5 1/3
Step-by-step explanation:
16 = 3a
a = 16/3
= 5 1/3
Hope this helps!
Which function is graphed on the right? y = 2x+3 – 2 y = 2x–3 + 2 y = 2x–2 + 3 y = 2x–2 – 3
Answer:
y=2x-2-3
Step-by-step explanation:
First you will need graphing paper. Go ahead and locate the y intercept on each of these equations. Then locate the slope. (y=mx+b). If the slope is positive count the amount of blocks up the slope's value is. And if negative count down. Then count to the right depending on the denominator. (2/1) You will make a triangle draw the line on the hypotenuse of the triangle. Then you have the line. You can also just use desmos.
The equation of the graphed function is [tex]y = 2^{x-2} + 3[/tex]
What are functions?Functions are used to represent equation, graphs and tables
The parent function of the graph is an exponential function represented by
[tex]y = 2^x[/tex]
First, the function is shifted 2 units right.
So, we have:
[tex]y = 2^{x - 2}[/tex]
Next, the function is shifted 3 units up.
This is represented as:
[tex]y = 2^{x - 2} + 3[/tex]
Hence, the equation of the graphed function is [tex]y = 2^{x-2} + 3[/tex]
Read more about exponential functions at:
https://brainly.com/question/11464095
What is the value of x in the equation - 3X+9
x+9= 3-37?
The complex solution to a quadratic equation is below. Write this solution in standard form, a+bi, where a and b are real numbers. What are the values of a and b.
Answer:
a = -6 and b = 3√2
Step-by-step explanation:
Given the complex solution below;
x = (-24±√-288)/4
Re writing in the standard format a,+bi
x =( -24±√144×√2×√-1)/4
In complex notation, i = √-1
x = (-24±√144×√2×i)/4
x = ( -24±12×√2i)/4
x = -24/4±12√2i/4
x = -6±3√2i
Comparing the resulting complex number with a+bi
a = -6 and b = 3√2
what is 25,00+30,00=
Answer:
5,500
Step-by-step explanation:
2,500 + 3,000:
2000 + 3000 + 500
5000 + 500
5500
Easy!
Help me please, an explanation would be nice as well
Answer:
Option (A). 44.1
Step-by-step explanation:
In the figure attached,
Triangle XYZ is am obtuse triangle having,
m∠XZY = 133°
m(YZ) = 21 units
m(XZ) = 27 units
By Cosine rule,
(XY)² = (XZ)² + (YZ)² - 2(XZ)(YZ)cosθ
Where θ is the angle opposite to side XY.
(XY)² = (27)² + (21)² - 2(27)(21)cos(133)°
= 1943.38614
XY = √1943.38614
XY = 44.084
≈ 44.1 units
Therefore, length of side XY = 44.1 units
Option (A) will be the answer.
In the diagram, AB is parallel to DE. Also, DE is drawn such that the length of DE is half of the length of AB. If sin A = 0.5, then what is sin E?
A) 2
B) 1
C) 0.5
D) 0.25
E) 0.1
Answer:
C
Step-by-step explanation:
PLATO
So, sin E=0.5. Therefore, option C is the correct answer.
Given that, AB║DE and sinA= 0.5.
We need to find the value of sin E.
How to find the value of sin?The value of sinθ must always be between −1 and 1. So the domain of f(x) = sinθ contains all the real numbers, but the range is −1 ≤ sin x ≤ 1. We can also see that the function repeats itself every 360°.
Now, sinA = 0.5
⇒∠A=30°
∠A=∠E=30° (∵∠A and ∠E are alternate angles)
Therefore, option C is the correct answer.
To learn more about trigonometry visit:
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Answer anyone please ?!
Answer:
A & D
Step-by-step explanation:
Vertical angles are equivalent angles made by intersecting lines. ISN and TSW, and TSN and ISW face each other and are equivalent.
Solve the equation for y: x = 2y - 3
Answer:
[tex]y = \frac{1}{2} x+\frac{3}{2}[/tex]
Step-by-step explanation:
Find the volume of a right circular cone that has a height of 6 ft and a base with a radius of 9.7 ft. Round your answer to the nearest tenth of a cubic foot.
Answer:
591.18
Step-by-step explanation:
Which ordered pair makes both inequalities true? y x On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 1) and (1, 0). Everything below and to the left of the line is shaded. The second dashed line has a positive slope and goes through (negative 1, negative 1) and (1, 1). Everything above and to the left of the line is shaded. (–3, 5) (–2, 2) (–1, –3) (0, –1)
Answer:
(-2, 2)
Step-by-step explanation:
Plotting the points on the graph can show you which is in the shaded area. That point is (-2, 2).
Answer:
(-2,2)
Step-by-step explanation:
2. What is the distance between the points M(-8,11) and N(3,7)?
a) 11.7
b) 10.2
c) 18.7
d) 19.4
Answer:
I'm not sure I feel like it's A
Step-by-step explanation:
-8 is 11 units away from 3 but I do not know where the 7 came from for answer A.
If I were you I would not trust my answer
The distance between the points M(-8,11) and N(3,7) is 11.7 units option (a) 11.7 is correct.
What is a distance formula?It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.
The distance formula can be given as:
[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
It is given that:
The two points are:
M(-8,11) and N(3,7)
From the distance formula, we can find the distance between these two points:
Applying the distance formula:
[tex]\rm d=\sqrt{(3-(-8))^2+(7-11)^2}[/tex]
d = √137
d = 11.7 units
Thus, the distance between the points M(-8,11) and N(3,7) is 11.7 units option (a) 11.7 is correct.
Learn more about the distance formula here:
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