Find the unknown sizes of angles in the following figure (I need step by step explanation and i might give brainliest):
Answers
Answer:
x = 54° , y = 29°
Step-by-step explanation:
The sum of the 3 angles in Δ ABC = 180° then
x = 180° - (72 + 54)° = 180° - 126° = 54°
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
x is an exterior angle of Δ CQR , then
y + 25° = x
y + 25° = 54° ( subtract 25° from both sides )
y = 29°
Answer:
x = 54
y = 29
Step-by-step explanation:
First, find the magnitude of x. To do this, add the angles inside triangle ABC, which means to add 72 + 54 + x which is equal to 180 because of the rule, the sum of the interior angles of a triangle is 180. So, when the equation is simplified, you get the answer as x = 54. Then, find the magnitude of y. The magnitude of an angle drawn around a point on a straight line is always 360, and the magnitude of the same point, but only on one side of the straight line is always 180. So, we can say that the unnamed angle in the triangle CQR is 180-x, which means 180-54 because we got x as 54 earlier. Therefore, the magnitude of the unnamed angle is 126. Now, apply the same rule we used before, the sum of the interior angles of a triangle is 180, to the triangle QCR. 25 + 126 + y = 180. When this is simplified, 29 is obtained.
To find x,
72 + 54 + x = 180 (the sum of the interior angles of a triangle is 180)
126 + x = 180
126 + x - 126 = 180 - 126
x = 54
To find y,
25 + 126 + y = 180
151 + y = 180
151 + y - 151 = 180 - 151
y = 29
Related Questions
Find g(f(x)).
f(x) = x + 1
g(x) = [tex]\sqrt{x} -3[/tex]
Please show work so I can understand it because my teacher has been out all week and I need to know how to do this for a test tomorrow.
Answers
Step-by-step explanation:
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fast films video allows you to rent up to 6 movies a month for a flat rate of $17.75. videos by mall allows you to rent up to 8 movies for $25.00. which company offers the better value
Answers
Answer:
The second company offers better value
Step-by-step explanation:
$17,75 / 6 = ~$2,96
$25 / 8 = ~$3,13
(14.7+9.3) times (1/2)2
Answers
Answer:
24
Step-by-step explanation:
Anyone knows the answer?????????????
Answers
Answer:
No I don't know if they also know then they will tell don't know that then how to tell
Answer:
noooooooooooiiiiiiooooooooooooooooo
PLEASE ANSWER I NEED HELP LOTS OF POINTS
Answers
Answer:
blank 1 = 4
blank 2 = -5
blank 3 = -1
Step-by-step explanation:
Can someone help me and if you don’t have the answer don’t answer cause you’re just wasting my time
Answers
Answer: 1 is 534
Step-by-step explanation:
is -5 a rational or an irrational number
Answers
Answer:
Rational
Step-by-step explanation:
An irrational number cannot be written as the ratio. of two integers. An irrational number is simply the opposite of a rational number. (Recall that a rational number is one that can be represented as the ratio of two integers.
A rational number is one that can be written as an integer over an integer, with non-zero denominator. ie. all your fractions.
An irrational number cannot be expressed as a ratio of integers
-5 is rational because it is a number that ends and is not a decimal that doesnt terminate.
a line has a slope of 6 and an x-intercept of 7
write the equation for the line slope-intercept form
Answers
Answer:
y = 6x - 42
Step-by-step explanation:
Point (7,0)
y-intercept = 0 - (6)(7) = -42
. Twelve out of 36 students in a class are in the
drama club. What is the ratio of the students in the
drama club to the students who are not in the
drama club?
Answers
The answer is:
12;24 or 1;2 (simplified)
is the answer(s) E, D, C, B, or A?
Answers
Answer:
A,C,E
You can see that the temperature and heat energy is changing at those points than just sitting there like B and D
The fuel tank of a certain airplane can hold up to gallons of fuel. Let be the total weight of the airplane (in pounds). Let be the total amount of fuel in its tank (in gallons). Suppose that gives as a function of .
Answers
Where W is the weight of the plane and F is the number of gallons of fuel.
The domain is the set of possible values for F. That is from 0 (empty tank) to 400 (full tank).
So the domain is F = [0,400], or what is equivalente 0 ≤ F ≤ 400.
The range is the set of values of W.
The minimum value of W is when F = 0 => W = 7(0) + 5000 = 5,000.
The maximum value of W is when F = 400 => W = 7(400) + 5000 = 7,800
So the range is W = [5,000 ; 7,800], pr 5000 ≤ W ≤ 7,800.
Solve y for 4(3y - 1) - 5y - 6 = 18
Answers
Answer:
y=4
Step-by-step explanation:
A deli sells sliced meat and cheese. One customer purchases 4 pounds of meat and 5 pounds of cheese for a total of $30.50. A sandwich shop owner comes in and purchases 11 pounds of meat and 14 pounds of cheese for $84.50. The system of equations below represents the situation.
4x + 5y = 30.50
11x + 14y = 84.50
The variable x represents the
.
The variable y represents the
.
The deli charges $
Answers
Answer:
The cost of 1 pound meat is $ 4.5 And cost of 1 pound of cheese is $ 2.5.
Step-by-step explanation:
Let the cost of 1 pound of meat be x
Let the cost of 1 pound of cheese be y
Cost of 4 pounds of meat = 4x
Cost of 5 pounds of cheese = 5y
Since we are given that one customer purchases 4 pounds of meat and 5 pounds of cheese for a total of $30.50.
So, equation becomes :
Cost of 11 pounds of meat = 11x
Cost of 14 pounds of cheese = 14y
Since we are given that a sandwich shop owner comes in and purchases 11 pounds of meat and 14 pounds of cheese for $84.50.
So, equation becomes :
Thus the system of equations are :
-1 (Red line)
-2 (Black line)
Solving these equations graphically we get the solution
x = $4.5
y = $2.5
Hence The cost of 1 pound meat is $ 4.5 And cost of 1 pound of cheese is $ 2.5.
what is x?
-6x+6=-12
(if you can show your work please do :)
Answers
Answer:
x = 3
Step-by-step explanation:
-6x + 6 = -12
Subtract 6 on both sides
-6x + 6 -6 = -12 -6
-6x = -12 - 6
Simplify
-6x = -18
Divide by -6 on both sides
-6x/-6 = -18/-6
Simplify
x = 3
what is 17 = x - 15 with written work please
Answers
Answer:
32
Step-by-step explanation:
15+17=32
x=32
hope this helps
32
Step-by-step explanation:
17 = x - 15
or, 17 + 15 = x
or, 32 = x
Therefore, x = 32 Ans
Which inequality has a solution that is the set of all real numbers?
12 < 14
x < 12
12 > 14
x > 14
Answers
Answer:
12<14
x<12
14>12
14>x
Step-by-step explanation:
I dont know if it is correct but I think it is that way try
Maha keeps chickens. She estimates that the weight of one chicken egg is 75 g. Is this a reasonable estimate? Give a reason for your answer.
Answers
Step-by-step explanation:
Yes this is not reasonable estimate because we count dozens of eggs not its mass
Hello, please help me with this as well, but show me example how you worked it out?
33 + - 5
Answers
Answer: 28
Step-by-step explanation: A positive (+) and a negative (-) together make it a negative (-) which takes the positive away (+) making it 33 - 5 = 28
Answer:
28
Step-by-step explanation:
Subtract 33 - 5. You should get 28. But since the greater number is positive, the answer will be positive.
Please help meeeee how do you reflect this?????
Answers
Answer:4 units down and 2 units right if I’m wrong I’m sry
Step-by-step explanation:
Answer:
Please I can't see the question well
I need help with number 5 please!
As shown on the diagram below ABC ~ DEF, AB=7x, BC=4, DE=7 and EF=x what is the length of AB?
Answers
==========================================================
Explanation:
We're told that [tex]\triangle ABC \sim \triangle DE F[/tex] which means triangle ABC is similar to triangle DEF. The order of the letters is important as you'll see in the next two paragraphs.
AB and DE are the first two letters of ABC and DEF respectively. These two sides pair up as one corresponding pair. This forms the fraction AB/DE.
Through similar logic, we get the fraction BC/EF. We have BC and EF as the last two letters of ABC and DEF respectively. This fraction is equal to the previous fraction we set up (due to similar triangles having equal proportions).
Once again, the order of the letters matters to tell us how the sides and angles pair up together.
-----------------
In short, the key takeaway from that last section is that we can form this equation:
AB/DE = BC/EF
From here, we apply substitution and solve for x
So,
AB/DE = BC/EF
7x/7 = 4/x
7x*x = 7*4 .... cross multiplication
7x^2 = 28
x^2 = 28/7
x^2 = 4
x = sqrt(4)
x = 2
We only consider the positive square root because x is some side length. Negative x values are not allowed.
To wrap things up, use that x value to find AB
AB = 7x = 7*2 = 14
There are 26 empty parking spots and
24 full parking spots in the parking
garage. What is the ratio of the number
of empty parking spots to the number
of full parking spots?
I suck at ratios help me
Answers
Answer:
26:24 or 24:26 that is the ratio
Find the quotient. 28,134 ÷ 47
Answers
Answer:
28,134 / 47 = 598.6
Step-by-step explanation:
For the division of 28,134 ÷ 47, the quotient is determined as 598.596.
What is the quotient of a number?Quotient refers to the result obtained when one number (dividend) is divided by another number (divisor).
When you perform division, the quotient is the answer or the result of the division operation.
For the division of 28,134 ÷ 47, the quotient is calculated as;
28,134 ÷ 47
= 28,134 / 47
= 598.596
Therefore, for the division of 28,134 ÷ 47, the quotient is determined as 598.596.
Learn more about quotients here: https://brainly.com/question/33838790
#SPJ3
What is the slope of the line that passes through the points (-10, 9)(−10,9) and (-12, 7) ?(−12,7)? Write your answer in simplest form
Answers
Answer:
I Had A Problem In This Too Lol Here Was Correct For Me
Step-by-step explanation:
Identify the coordinates (x₁,y₁)and(x₂,y₂). We will use the formula to calculate the slope of the line passing through the points (3,8) and (-2, 10).
Input the values into the formula. This gives us (10 - 8)/(-2 - 3).
Subtract the values in parentheses to get 2/(-5).
Simplify the fraction to get the slope of -2/5.
Answer:
slope = 1
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}x_{1} }[/tex]
with (x₁, y₁ ) = (- 10, 9 ) and (x₂, y₂ ) = (-12, 7 )
m = [tex]\frac{7-9}{-12-(-10)}[/tex] = [tex]\frac{-2}{-12+10}[/tex] = [tex]\frac{-2}{-2}[/tex] = 1
The people on this app are mean for not answering
Answers
aggreed very mean.....
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Megan boarded a train at 10:23 and arrived at her destination
3 hours 5 minutes later. What time did she arrive at her.
destination
Answers
She arrived at 1:28
If f(x)= 3x-2 find x if f(x)= 19
Answers
Answer:
19= 3x-2
3x= 21
X= 7
Step-by-step explanation:
Hope it helps!!
Dad's age is equal to the sum of Laura's, Jeri's and Theresa's ages. If Jeri is 4 years older
than Theresa and 3 years younger than Laura, and Dad's age is 38, how old is each
daughter?
Answers
Answer:
Jeri is 13, and thus Theresa is 9 and Laura is 16.
Step-by-step explanation:
Let's start by declaring variables
D - dad's age
L - laura's age
J - jeri's age
T - theresa's age
The first statement tells us that D = L + J + T
Jeri being 4 years older than Theresa gives us
J = T + 4
Jeri being 3 years younger than Laura gives us
J = L - 3
So notice that the common variable in these two equations is J. So if we can represent every girls age in terms of Jeri's, we will be down to one variable. So
T = J - 4
L = J + 3
Now, we can rewrite the original equation using only J's
38 = (J + 3) + J + (J - 4)
38 = 3J - 1
39 = 3J
13 = J
So Jeri is 13, and thus Theresa is 9 and Laura is 16.
Joe is signing a lease for an apartment that rents for $1800/month. How much will he pay to move in if he must pay the first and last months' rent and a $1000 security deposit?
A. $5000
B. $4600
C. $4500
D. $2800
Answers
domain of (3,4) (-1,5) (-9,0) (3, -2) and range. And is it a function?
Answers
Answer:
Domain = 3,-1,-9,3
Range = 3,5,0,-2
Not a function
Armando wants to raise funds at his school fair. He plans to charge 10 cents to pick marshmallows from his bag without looking. He will give: • 20 cents to anyone who picks a Blue marshmallow. • 50 cents to anyone who picks a Yellow marshmallow. • $1 to anyone who picks a White marshmallow. • Anyone picking a Red or Green marshmallow will lose their money There are as equal number of marshmallows of each color. 3a. Show work and explain why Armando will lose money with this game. Justify using mathematics.
Answers
Since the expected value for this game is negative, Armando will lose money.
The expected value is given by the sum of all outcomes multiplied by it's respective probability.In this problem:
There are blue, yellow, white, red and green marshmallows, each with a [tex]\frac{1}{5}[/tex] probability of being picked.If red or green marshmallows are picked, Armando get the charge of $0.1.If someone picks a blue marshmallow, he loses $0.1.If someone picks a yellow marshmallow, he loses $0.4.If someone picks a white marshmallow, he loses $0.9.Thus, the expected value is:
[tex]E = 0.1\frac{2}{5} - 0.1\frac{1}{5} - 0.4\frac{1}{5} - 0.9\frac{1}{5} = \frac{0.2 - 0.1 - 0.4 - 0.9}{5} = -0.24[/tex]
Since the expected value for this game is negative, Armando will lose money.
A similar problem is given at https://brainly.com/question/24855677