Answers:
x = 72
y = 83
============================================================
Explanation:
Angle VFG is 50 degrees. The angle adjacent to this is angle EFG which is 180-50 = 130 degrees.
Angle HDW is 77 degrees. The supplementary angle adjacent to this is 180-77 = 103 degrees which is angle EDH.
Pentagon EFGHD has the following five interior angles
E = xF = 130G = 170H = 65D = 103Note that angles F = 130 and D = 103 were angles EFG and EDH we calculated earlier.
For any pentagon, the interior angles always add to 180(n-2) = 180(5-2) = 180*3 = 540 degrees.
This means,
E+F+G+H+D = 540
x+130+170+65+103 = 540
x+468 = 540
x = 72
---------------------------------------
Now focus your attention on triangle THS
We see that the interior angles are
T = yH = 65S = 32The angle H is 65 degrees because it's paired with the other 65 degree angle shown. They are vertical angles.
For any triangle, the angles always add to 180
T+H+S = 180
y+65+32 = 180
y+97 = 180
y = 180-97
y = 83
ers
17 Which number is greater, -7 or 6? Which number has the greater
absolute value, -7 or 6? Explain your thinking. Use comparison
symbols and absolute value symbols when you write your answer.
Solution
Answer:
17
Step-by-step explanation:
17-38 8 im like hey whats up hello
Write the equation of the line parallel to y=1/3x-6 that passes through the point (-12,3) in slope-intercept form.
Answer:
y=1/3x+7
Step-by-step explanation:
1. The given equation is y=1/3x-6 and it has to be parallel passing through (-12,3), so you just plug in the x and y values into the equation y=mx+b with 1/3 as the slope since its parallel (meaning the slope is the same for both eqts)
2. 3=1/3(-12)+b
3. 3=-4+b
4. 7=b
5. So, the equation is y=1/3x+7
Please just help with these questions!
5/7= -----------
0.714285
Convert the fraction to a decimal by dividing the numerator by the denominator.
6/10= 0.6
Convert the fraction to a decimal by dividing the numerator by the denominator.
16/20= 0.8
Convert the fraction to a decimal by dividing the numerator by the denominator.
9/10= 0.9
Convert the fraction to a decimal by dividing the numerator by the denominator.
angle abc and dcb make a linear pair. of abc=2x+9 and dbc=10x+15,find x
Answer:
x = 13
Step-by-step explanation:
A linear pair of angles sum to 180° , then
2x + 9 + 10x + 15 = 180 , that is
12x + 24 = 180 ( subtract 24 from both sides )
12x = 156 ( divide both sides by 12 )
x = 13
Combine like terms to simplify the expression:
Answer:
[tex]\frac{5k -6}{10}[/tex]
Answer:
1/5k + 3/5
Step-by-step explanation:
2/5 * 2/2 = 4/10
4/10k + 1/10k = 5/10k = 1/2k
1/2k + 3/5
Write the equation of a line parallel to the following line that passes through (-5, 19).
y = 3x + 14
Lets find out slope
[tex]\\ \sf\longmapsto \dfrac{19-0}{0-(-5)}[/tex]
[tex]\\ \sf\longmapsto \dfrac{19}{5}[/tex]
Now
[tex]\\ \sf\longmapsto y=mx+b[/tex]
[tex]\\ \sf\longmapsto y=\dfrac{19}{5}x+19[/tex]
Grayson has $300 in a savings account. The interest rate is 10% per year and is not compounded. How much interest will he earn in 6 years?
Answer:
$180
Step-by-step explanation:
Interest for 1 year = 10% of $300
Interest for 6 years
= (10% × 6) of $300
= 60% of $300
= (60/100) × $300
= 60 × $3
= $180
So, he will earn $180 as interest in 6 years.
-234 = 7(-6 + 4n) + 4 evaluate each expression
Answer:
n=-7
Step-by-step explanation:
-234=-38+28
-28n=-38+28n
-28n=196
Riley's math teacher said that each question answered correctly on a test would be worth 3 points. Answer the questions below regarding the relationship between the number of questions correct and the score on the test.
The independent variable, x, represents the number of questions Riley answered correctly, and the dependent variable is the score, because the score depends on the number of questions Riley answered correctly. A function relating these variables is R(x) = [3x] So R(23) = [69], meaning 23 correct answers will give a score of 69.
The types of variables.In an experiment, there are two (2) main types of variables and these include:
Dependent variable.Independent variable.What is an independent variable?An independent variable can be defined as the variable that is being manipulated by an experimenter or researcher. This ultimately implies that, it is typically considered to be the cause in an experiment and represented by x.
In this scenario, we can infer and logically deduce that the independent variable, x, represents the number of questions Riley answered correctly, and the dependent variable is the score, because the score depends on the number of questions Riley answered correctly. A function relating these variables is R(x) = [3x] So R(23) = [69], meaning 23 correct answers will give a score of 69.
Read more on independent variable here: https://brainly.com/question/82796
#SPJ1
Complete Question:
Riley's math teacher said that each question answered correctly on a test would be worth 3 points. Answer the questions below regarding the relationship between the number of questions correct and the score on the test.
The independent variable, x, represents the ______, and the dependent variable is the ______, because the ______ depends on the
A function relating these variables is R(x) = [] So R(23) = [], meaning 23
Find the length indicated. label your answer with correct notation
Answer:
? is 8
Step-by-step explanation:
The total of the line is 14 and you have KL of your answer which is 6. All you have to do to get JK is subtract 6 from 14.
14 - 6 = 8
please help 15 points
Answer:
2
Step-by-step explanation:
2x(5+4)=(_x5)+(_x4)
lets start with 2x(5+4)
(5+4)=9
so we are left with 2x9
2x9=18
so now we have 18=(_x5)+(_x4)
lets try 2 for the blank spaces
18=(2x5)+(2x4)
2x5=10
2x4=8
10+8=18
2x(5+4)=(2x5)+(2x4)
It worked! Hope this helps :)
Answer:
Both blanks equal 2.
Step-by-step explanation:
2*5=10
2*4=8
10+8=18
9*2=18
1) 2x = 12
solve the equation
Answer:
2x =12
x = 12/2
x= 6
I hope I helped you^_^
Please help.How do I find the length of x?
Since the area of B is 9 times the area of A, we know that the sides of B are √9= 3 times the length of the sides of A.
That's how.
A map has a scale of 1 Inch to 64 miles. If the distance from Sacramento to Santa Cruz is 2.3 Inches long on the map, what is the actual distance in miles? (Round to the nearest mile)
A 28 miles
B 66 miles
C 147 miles
D 128 miles
Answer:
C
Step-by-step explanation:
I think this could be it since u have to multiple
64x2.3 Which would be 147.2 but then round up would get u 147
could someone please help me:) I am stick and I am not sure what to do
Answer:
Part 5.1.1:
[tex]\displaystyle \cos 2A = \frac{7}{8}[/tex]
Part 5.1.2:
[tex]\displaystyle \cos A = \frac{\sqrt{15}}{4}[/tex]
Step-by-step explanation:
We are given that:
[tex]\displaystyle \sin 2A = \frac{\sqrt{15}}{8}[/tex]
Part 5.1.1
Recall that:
[tex]\displaystyle \sin^2 \theta + \cos^2 \theta = 1[/tex]
Let θ = 2A. Hence:
[tex]\displaystyle \sin ^2 2A + \cos ^2 2A = 1[/tex]
Square the original equation:
[tex]\displaystyle \sin^2 2A = \frac{15}{64}[/tex]
Hence:
[tex]\displaystyle \left(\frac{15}{64}\right) + \cos ^2 2A = 1[/tex]
Subtract:
[tex]\displaystyle \cos ^2 2A = \frac{49}{64}[/tex]
Take the square root of both sides:
[tex]\displaystyle \cos 2A = \pm\sqrt{\frac{49}{64}}[/tex]
Since 0° ≤ 2A ≤ 90°, cos(2A) must be positive. Hence:
[tex]\displaystyle \cos 2A = \frac{7}{8}[/tex]
Part 5.1.2
Recall that:
[tex]\displaystyle \begin{aligned} \cos 2\theta &= \cos^2 \theta - \sin^2 \theta \\ &= 1- 2\sin^2\theta \\ &= 2\cos^2\theta - 1\end{aligned}[/tex]
We can use the third form. Substitute:
[tex]\displaystyle \left(\frac{7}{8}\right) = 2\cos^2 A - 1[/tex]
Solve for cosine:
[tex]\displaystyle \begin{aligned} \frac{15}{8} &= 2\cos^2 A\\ \\ \cos^2 A &= \frac{15}{16} \\ \\ \cos A& = \pm\sqrt{\frac{15}{16}} \\ \\ \Rightarrow \cos A &= \frac{\sqrt{15}}{4}\end{aligned}[/tex]
In conclusion:
[tex]\displaystyle \cos A = \frac{\sqrt{15}}{4}[/tex]
(Note that since 0° ≤ 2A ≤ 90°, 0° ≤ A ≤ 45°. Hence, cos(A) must be positive.)
if coffee cost $8.15 per pound what will it cost if it weights 2 pounds
Answer: $16.3
Step-by-step explanation: 8.15 * 2 (because there are 2 pound) = 16.3
Answer: it should be 16.30
Step-by-step explanation:
Intersecting lines are non-coplanar a.always b.sometimes c.never
Find the perimeter. Simplify your answer.
SV
101-5
101-5
5v
2(10v - 5) + 5v + 5v =
= 20v - 10 + 5v + 5v =
= 20v + 5v + 5v - 10 = 30v - 10 ← the end
Please explain how to do this.
Answer:
hope this helps you
have a great
please help me simplify this answer explanation too thank!
[tex] - \frac{10}{3} - ( - \frac{7}{5} ) = - \frac{10}{3} + \frac{7}{5} = - \frac{50}{15} + \frac{21}{15} = \\ \\ = \frac{ - 50 + 21}{15} = \frac{ - (50 - 21)}{15} = \frac{ - 29}{15} = - 1 \frac{14}{15} [/tex]
Maggie has a container in the shape of a right prism . The formula for its surface area is SA = Ph + 2B solve for h.
(9th grade Algebra 1)
Answer:
The choose first.
[tex] h = \frac{SA - 2B}{P} [/tex]
Step-by-step explanation:
[tex]SA = Ph + 2B \\ \\ Ph = SA - 2B \\ \\ h = \frac{SA - 2B}{P} [/tex]
I hope I helped you^_^
P = {x:x is a multiple of 4, x ≤ 20} and Q = (x:x is a multiple of 5, x ≤ 20 }
Answer:
Hope it will help you.....
Step-by-step explanation:
my answer is
P=(4,8,12,16,20)
Q=(5,10,15,20)
The set for P and Q will be {4, 8, 12, 16, 20} and {5, 10, 15, 20}, respectively.
What are Sets?Sets are groups of clearly specified components. The number of items in a finite set is denoted by a curly bracket.
P = {x:x is a multiple of 4, x ≤ 20}
Then the set for P is given as,
P = 5 {4, 8, 12, 16, 20}
Q = (x:x is a multiple of 5, x ≤ 20 }
Then the set for Q is given as,
Q = 4 {5, 10, 15, 20}
More about the sets link is given below.
https://brainly.com/question/8053622
#SPJ2
WILL GIVE BRAINLIEST
2x^\(5x + 5)
Find the value of x.
What is the equation of a line that passes through the point(3,-8)and has a slope of 0?
Answer: y=-8
Step-by-step explanation:
If the slope is zero that means that the line does not go up (or have any rise) and therefore must be a horizontal line. Since it passes through the point (3,-8), the equation has to be y=-8.
Can someone help me with this ASAP!
The following correct answer is c.
This I because when you translate using this, you first start with the point (0,0), translate that point down 3 (-3 means down three when outside parenthesis) and translate it to the right 4 units (this shown in a paraptosis, and when you move to the right you say -4, but if you move to the left you say +4)
Solve Y+3/5 = 1 1/10
Answer:
y = 1/2
Step-by-step explanation:
Y+3/5 = 1 1/10
Subtract 3/5 from both sides.
y = 1/2
simplify expression x times 3/2 to the 6th power
Answer:
729x/64
Step-by-step explanation:
Expression: x *(3/2)⁶
Using order of operations (PEMDAS), we solve for the exponent first. So, 3^6 is 729 and 2^6 is 64. Multiple everything together to get 729x/64
Not sure how to find what x equals
Answer:
Its 48 °
Since its a triangle, the total angle will be 180°
So,
x° + 42°+90°=180°(90° as one angle in triangle is 90°)
x°=180°-90°-42°
x°=48°
Answer: 48º c:
Step-by-step explanation: So basically the angle at the top, lets call it A, is 42º. And the angle at the bottom right, is a right angle, which is 90º. We know this by the square at the angle. If we call this angle B, then through the fact that triangles will always have a combined angle measuremnt of 180º, we can do a + b + x = 180, which will be 42 + 90 = 132, 180 - 132 = 48 :)
This one is very hard for me
15x + 57 ≥ 129
15x ≥ 129 - 57
15x ≥ 72
x ≥ 24/5
x ≥ 4.8
Answer:
[tex]x \geqslant 4.8[/tex]
Step-by-step explanation:
[tex]15x \: \: \: \: + \: 57 \geqslant 129 \\ or \: 15x \geqslant 129 - 57 \\ or \: x \geqslant 72 \div 15 \\ or \: x \geqslant 4.8 \\ [/tex]
Evaluate the function.
f(x) = -22 - 4.2
Find f(-1)