Answers
The triangles are the same
CA= 8.5
AT=5
DG=12
T=70
O=57
C=53
Step-by-step explanation:
This can be a little brain bending but try to imagine rotating ∆DOG to the left once. The bottom side is now OGD. Now, the triangles will look similar. Here is the rule:
The SAS rule states that: If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent. An included angle is an angle formed by two given sides.
so, side CA is equal to side DO. Side CT is equal to side DG, and side AT is equal to side OG. The answers to the first column are:
CA=8.5m
AT=5m
DG=12m
Now, because the sides are equal, the angles are equal:
>T is the same as >G. =70°
>A is the same as>O = 57°
The angles of a triangle have to add up to 180°, so
70° + 57° = 127°
180°- 127° = 53°
So, angles D and C equal 53°.
How this helps.
Related Questions
The golf club runs a competition.
The total prize money is shared in the ratio 1st prize:2nd prize = 9: 5.
The 1st prize is $500 more than the 2nd prize.
Calculate the total prize money for the competition.
Answers
Answer:
The total prize money for the competition is $1750
Step-by-step explanation:
Let us solve the question
→ The golf club runs a competition
∵ The total prize money is shared in the ratio 1st prize: 2nd prize = 9: 5
∵ The 1st prize is $500 more than the 2nd prize
∴ The difference between the 1st prize and the second prize = $500
→ Find the difference between the terms of the ratio
∴ The difference in the terms of the ratio = 9 - 5 = 4
→ By using the ratio method
→ 1st : 2nd : difference
→ 9 : 5 : 4
→ x : y : 500
→ By using the cross multiplication
∵ x × 4 = 9 × 500
∴ 4x = 4500
→ Divide both sides by 4 to find x
∴ x = 1125
∴ The 1st prize is $1125
∵ y × 4 = 5 × 500
∴ 4y = 2500
→ Divide both sides by 4
∴ y = 625
∴ The 2nd prize is $625
∵ The total prize = 1st prize + 2nd prize
∴ The total prize = 1125 + 625
∴ The total prize = 1750
∴ The total prize money for the competition is $1750
NEED HELP ASASPPP
A study reported that about half of high school seniors study for upcoming math tests. To find out if this applies to seniors at Garfield High School, an SRS of 30 seniors was asked if they study for their math tests. Nineteen responded "Yes.”
A dotplot is provided showing the results of 40 trials of this simulation.
A dotplot titled seniors who study for math tests have number of seniors who responded yes on the x-axis, and frequency on the y-axis. 12, 2; 13, 5; 14, 6; 15, 11; 16, 9; 17, 4; 18, 2; 9, 0; 20, 1.
Does this provide convincing evidence that seniors at Garfield High School study more than the report stated?
No, there is an outlier at 20.
No, there were outcomes as low as 12.
Yes, only one trial had a result of 19 or larger.
Yes, more than half of the simulated results are over 15.
Answers
Answer:
Yes, only one trial had a result of 19 or larger.
Step-by-step explanation:
The claim reported is that only about half of high school seniors study for upcoming math test. However, at Garfield a sizeable number of the 30 surveyed observation gave a symmetrical distribution about the study pattern of their high school seniors with only one trial a frequency of yes greater than or equal to 19
Log_10 3 ~ 0.771 evaluate log_10 0.0003
Answers
Answer:
If log(subscript 10) 3 is approximately .4771, evaluate log (subscript 10) .0003 Give answer correct to four decimals.
Step-by-step explanation:
If log(subscript 10) 3 is approximately .4771, evaluate log (subscript 10) .0003 Give answer correct to four decimals.
The function g(x) is graphed on the coordinate grid. What is the domain of g(x)?
Answers
Answer:
x[tex]\geq[/tex]5
Step-by-step explanation:
The domain is the function defined on your x-axis.
It starts from 5 and includes 5
so the domain is x[tex]\geq[/tex]5
Kristen spent many days at the community pool last summer. She noticed that five out of fourteen flying insects she saw at the pool were mayflies. If Kristen saw fourteen flying insects at the pool one day, how many were mayflies? If, over several days, Kristen saw forty two flying insects, how many were mayflies? If, over a few weeks, Kristen saw thirty mayflies, how many flying insects did she see?
Answers
Answer:
(a) 5 mayflies
(b) 15 mayflies
(c) 84 flying flies
Step-by-step explanation:
Represent Mayflies with M and the total flying insects with F
The ratio can be represented as:
[tex]M : F = 5 : 14[/tex]
Solving (a):
[tex]F = 14[/tex]
Find M
Substitute 14 for F in [tex]M : F = 5 : 14[/tex]
[tex]M : 14 = 5 : 14[/tex]
Convert to fraction
[tex]\frac{M}{14} = \frac{5}{14}[/tex]
Multiply through by 14
[tex]14 * \frac{M}{14} = \frac{5}{14} * 14[/tex]
[tex]M = 5[/tex]
Solving (b):
[tex]F = 42[/tex]
Find M
Substitute 42 for F in [tex]M : F = 5 : 14[/tex]
[tex]M : 42 = 5 : 14[/tex]
Convert to fraction
[tex]\frac{M}{42} = \frac{5}{14}[/tex]
Multiply through by 42
[tex]42 * \frac{M}{42} = \frac{5}{14} * 42[/tex]
[tex]M = \frac{5}{14} * 42[/tex]
[tex]M=5*3[/tex]
[tex]M= 15[/tex]
Solving (c):
[tex]M = 30[/tex]
Find F
Substitute 30 for M in [tex]M : F = 5 : 14[/tex]
[tex]30 : F = 5 : 14[/tex]
Convert to fraction
[tex]\frac{F}{30} = \frac{14}{5}[/tex]
Multiply through by 30
[tex]30 * \frac{F}{30} = \frac{14}{5} * 30[/tex]
[tex]F = \frac{14}{5} * 30[/tex]
[tex]F = 14*6[/tex]
[tex]F = 84[/tex]
Will give brainliest.
Answers
Answer:
slope=1/2
the given point=(0, 13/2)
Step-by-step explanation:
change the equation to the y=mx+b format
y-8=1/2(x-3)
y=1/2x-3/2+8
y=1/2x+13/2
m=slope
1/2=slope
given point(y-intercept)= the constant
given point=13/2
What is the area of the blue coloured triangle ranging from the two squares of 4x4 and 6x6 dimensions?
Answers
Answer:
Area = 18 Sq.units
Step-by-step explanation:
From the given dimensions we have, we can say that the total length of the base = 6 + 4 = 10 units
Now,since we know that all sides of the red square are 6 units, we can use pythagoras theorem to get the length of the long diagonal that serves as the base of the blue colored area.
Let the diagonal be c. Thus;
c = √(10² + 6²)
c = √(100 + 36)
c = √136
Let length of the horizontal part of the blue area be "b". Thus, b = 6 units
Let the other part of the triangle be a. We can find a from pythagoras theorem.
a = √(4² + 6²)
a = √(16 + 36)
a = √52
Using hero's formula, we can find the area of the triangle;
Area = √(s(s − a)(s − b)(s − c))
Where s = (a + b + c)/2
s = (√52 + 6 + √136)/2
s = 12.4365
Area = √(12.4366(12.4365 −√52)(12.4365 − 6)(12.4365 − √136))
Area = 18 Sq.units
For each gym membership sold, the gym keeps $42, and the employee who sold it gets $8. What is the commission the employee earned as a percentage of the total cost of the gym membership?
followup: If an employee sells a family pass for $135, what is the amount of the commission they get to keep?
Answers
Hence, the commission the employee earned as a percentage of the total cost of the gym membership is [tex]16[/tex] % and the amount of the commission they get to keep is the [tex]16[/tex] % of $[tex]135[/tex] which would be [tex]21.6[/tex] $
What is the percentage?
A percentage is a number or ratio expressed as a fraction of [tex]100[/tex]. It is often denoted using the percent sign, "%".
Here given that,
For each gym membership sold, the gym keeps $[tex]42[/tex], and the employee who sold it gets $[tex]8[/tex].
(1)
Here the full price is [tex]42+8=50[/tex]
So, the commission the employee earned as a percentage of the total cost of the gym membership is
[tex]\frac{8}{50}=16[/tex] %
(2)
Here, the employee sells a family pass for $[tex]135[/tex].
So, the amount of the commission they get to keep is the [tex]16[/tex] % of $[tex]135[/tex] which would be
[tex]\frac{16}{100}[/tex] ×[tex]135=21.6[/tex] $
Hence, the commission the employee earned as a percentage of the total cost of the gym membership is [tex]16[/tex] % and the amount of the commission they get to keep is the [tex]16[/tex] % of $[tex]135[/tex] which would be [tex]21.6[/tex] $
To know more about the percentage
https://brainly.com/question/13244100
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Which number of simulation trials would be likely to produce results that areClosest to the actual probability
Answers
Answer:
which ever answer is the largest number
Step-by-step explanation:
the bigger the number, the better accuracy
Help Link (little green guy on the left) defeat Ganon and save Zelda. Find the distance from Link to the Green Soldier so Link can attack. Press "Submit" to check your work.
Answers
Answer: 5 units
Step-by-step explanation:
The shape presented is a triangle and the distance between Link and Ganon is the hypothenuse of that triangle.
This can be calculate using the Pythagoras rule:
c² = a² + b²
c is the hypothenuse.
a in the triangle = base = 4 units
b = height = 3 units
c² = 4² + 3²
c² = 16 + 9
c² = 25
c = √25
c = 5 units
Answer:
wait i'm tho lol
Step-by-step explanation:
I NEED HELP ASAP
Write an equation in point-slope form with the given characteristics Passes through (1,8) and (-2,3)
Answers
If they ask you the equation when knowing only the two points you do 8-3=m(1+3)
They both mean the same thing ( it just depends on what the problem is specifically asking you about)
Answer:
[tex]y - 8 = \frac{5}{3}(x - 1)[/tex]
Step-by-step explanation:
1) Use the slope formula, [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex], and the given points to find the slope. [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line must intersect, and [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point the line must also intersect:
[tex]\frac{(3)-(8)}{(-2)-(1)}[/tex]
= [tex]\frac{-5}{-3}[/tex]
= [tex]\frac{5}{3}[/tex]
2) Using the point-slope formula, [tex]y-y_1 = m (x - x_1)[/tex], use the slope you just calculated and substitute it for m. Choose any of the two points given (I chose (1,8)) and substitute its x and y values for [tex]x_1[/tex] and [tex]y_1[/tex]. Don't worry, the equation of the line is the same no matter which point you choose (unless the question specifies which one you need to choose):
[tex]y - 8 = \frac{5}{3}(x - 1)[/tex]
At the movie theatre, child admission is $5.10 and adult admission is $8.70. On Saturday, 149 tickets were sold for a total sales of $1065.90. How many adult tickets were sold that day?
Answers
Answer:
[tex]a=85[/tex]
Step-by-step explanation:
We can write the following system of equations:
[tex]\begin{cases}5.10c+8.70a=1065.90\\c+a=149\end{case}[/tex], where [tex]c[/tex] represents the number of child tickets sold and [tex]a[/tex] represents the number of adult tickets sold.
Multiplying the second equation by [tex]-5.10[/tex] and adding both equations lets us isolate and solve for [tex]a[/tex]:
[tex]\begin{cases}5.10c+8.70a=1065.90\\-5.10c-5.10a=-759.9\end{case}\\3.6a=306,\\a=\fbox{$85$}[/tex].
Can someone help me?
Answers
Answer:48miles
solution on the picture
if it's helpful ❤❤❤
THANK YOU
tessa bought stock in a restaurant for 245.00 her stock is now worth 338.10 what is the percentage increase of the value of tessas stock
Answers
Answer:
1.38
Step-by-step explanation:
245.00 x 1.38 = 338.10
Ana swam -21ft below sea level. Tisha swam -28ft below sea lev who swam the farthest from sea level? I choose Ana but I don’t know I might be wrong..
Answers
Answer:
You're correct
Step-by-step explanation:
-21 > -28
-21 is bigger than -28 so ana did swim further
Guys so it says pick which one is true and!!! I can’t really find out now there is four more left thank you to the people who are helping
Answers
Answer:
Your answer is
B. C. And. E
Hope it will help :)❤
What is 11/12 of a minute?
Answers
Answer:
55 seconds
Step-by-step explanation:
Okay so, 1/12 of a minute would be 5 seconds. 10/12 would be 50 seconds. You go up 5 continuously.
X^2+2x+1=4 complete the square
Answers
Answer:
[tex] {x}^{2} +2 x + 1 = 4 \\ {(x + 1)}^{2} = 4 \\( x + 1) = + 2 \: and \: (x + 1) = - 2 \\ \boxed{x = 1 \: and \: x = - 3}[/tex]
x= 1 or x= -3 is the right answer.ans fastt I will mark as brainliest
Answers
Answer:
»»»»»
ZBDC = ( 180 - x - y )°
:-))
»»»»»
The spinner below is spun twice .what is the probability of the arrow landing on a white space and then a space with star
Answers
Answer:
I believe it would be 75% or 3/4
Step-by-step explanation:
Answer:
3/4
Step-by-step explanation:
Assuming no variable equals 1 or 0, which of the following statements is always False?
ОООО
1(x) = 1
0(x) = 0
x + y = y + x
a(b + c) = ab + ac
Answers
Given:
No variable equals 1 or 0.
To find:
The statements which is always False.
Solution:
According to identity of multiplication,
[tex]1(x)=x[/tex]
For x=2,
[tex]1(2)=2\neq 1[/tex]
So, the statement [tex]1(x)=1[/tex] always false because no variable equals 1 or 0.
Multiplication property of zero,
[tex]0(x)=0[/tex]
Commutative property of addition,
[tex]x+y=y+x[/tex]
Distributive property of multiplication over addition,
[tex]a(b+c)=ab+ac[/tex]
No variable equals 1 or 0. So, all the statements in options B, C, D are always true.
Therefore, the correct option is A.
Which Choice is equivalent to the product below when X > 0
Answers
Answer: this is equal to √(3x²/12) = √(x²/4) = x/2
Step-by-step explanation:
Answer:
C.) 1/3
Step-by-step explanation:
A tree is broken at a height of 35 m from the ground and its top touches the ground at a distance of 12 m from the base of the tree. If the tree is at right angles to the ground, find the original height of the tree.
Answers
In triangle ABC x square = 5 square + 12 square
X square = 25+144
X square = 169
X = 13
Thus the original height of the tree was 13+15 = 18m
a line passes through the point (-6,-7) and has a slope of 5/2
Write an equation in slope intercept form for this line
Answers
Answer:
Draw a line of a givens point
IQ
GPA
ia
SAT
115
3.4
115
1440
84
2.1
84
780
In this assignment, you will be comparing two data
sets. The first data set shows the relationship of GPA
and IQ scores. The second data set compares SAT
scores and IQ scores.
In the scatterplots for both sets of data, the
independent variable is
111
3.1
111
1120
120
3.8
120
1560
105
2.8
105
1240
98
2.6
98
1200
96
96
1000
88
88
920
It
Answers
Answer:
The answer is IQ
Step-by-step explanation:
Edge 2021
i’ll give u brainliest please help asap
The sum of the measures of the interior angles of a convex polygon is 1,980. How many sides does the polygon have?
a. 11
b. 12
c. 14
d. 13
Answers
Answer:
c, 14
Step-by-step explanation:
Answer:
the ansewr is b
Step-by-step explanation:
There are 50 cups of water in 10 gallon of water what is the total number of cups of water in 1/4 gallon of water? HELP ASAP
Answers
Answer:
there would be 20
Step-by-step explanation:
Answer:
1.25 cups
Step-by-step explanation:
50 / 10 = 5
that means there are 5 cups in 1 gallon
5 / 4 = 1.25
So there are 1.25 or as a fraction 1 1/4 cups in 1/4 of a gallon of water
24. Find f'(x) for f(x) = ax2 + bx.
Answers
Answer:
f'(x) = 2ax + b
Step-by-step explanation:
Differentiate each term using the power rule
[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex]
Given
f(x) = ax² + bx , then
f'(x) = 2a[tex]x^{2-1}[/tex] + b[tex]x^{1-1}[/tex]
= 2ax + b[tex]x^{0}[/tex] ( [tex]x^{0}[/tex] = 1 )
= 2ax + b
Is 2 a solution of the inequality -2x < -6? example.
Answers
Answer:
x > 3
2 is not a solution since 3 is greater than 2.
hope this helps :D
Answer:
3
Step-by-step explanation:
-2x =-6
-2. -2
x =3
-2 divided by -2x equal x
-2 divided by -6 equal 3
x equal 3
If an object is accelerating at 5 m/s/s and has a mass of 2kg, what is the net force (N)?
•O5N
•20 N
•10N
•10 m/s
Answers
Answer:
10N as the SI u it for net force is N
Step-by-step explanation:
The answer is:
F=MA
=2Kg×5m/s
=10N