Answers
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PQ = RQ
Thus :
[tex]Angle \: \: P = Angle \: \: R = 47°[/tex]
_________________________________
Sum of the interior angles of any triangle equal 180° .
So in ∆ PQR :
[tex]P + Q + R = 180[/tex]
[tex]47 + (a + a) + 47 = 180[/tex]
[tex]2a + 94 = 180[/tex]
Subtract sides 94
[tex]2a + 94 - 94 = 180 - 94[/tex]
[tex]2a = 86[/tex]
Divide sides by 2
[tex] \frac{2a}{2} = \frac{86}{2} \\ [/tex]
[tex]a = 43[/tex]
Thus :
[tex]a = [ 43 ] °[/tex]
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The required measure of the angle in the triangle is 33°.
Given that,
A figure is shown, of triangle QPR with QS as attitude to determine the measure of a
The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°
here,
As of the above definition,
Some of the interiors of the triangle should be equal to 180°
Applying the definition for triangle PQS
47 + 90 + a = 180
a = 180 - 90 - 47
a = 33°
Thus, the required measure of the angle in the triangle is 33°.
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Related Questions
Pleas answer part A!!!!!!
Answers
Answer:
y=120x
Step-by-step explanation:
You can just divide all of the points (y/x) and they all equal to 120. And when you add it to the equation its y=120x
Given that C=33 °, b=10 in, and c=6 in. Find the distinct number of triangles.
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Please help me with this question.... please
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y= 3x + 2 and y= 3x -3. These lines are...
parallel
perpendicular
neither
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The lines y= 3x + 2 and y= 3x -3 are parallel because the slope of the lines is an equal option (A) is correct.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The equation of the lines:
y = 3x + 2 and y = 3x - 3
The slope of the line:
y = 3x + 2
y = mx + c
m = 3
The slope of the line:
y = 3x - 3
y = MX + C
M = 3
m = M
The slopes of the line are the same.
Thus, the lines y= 3x + 2 and y= 3x -3 are parallel because the slope of the lines is an equal option (A) is correct.
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Is -0.7 repeating rational , whole , natural or an integer?
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Answer:
rational bc it's a decimal
Step-by-step explanation:
Which one is correct? Please hurry :)
Answers
Answer:
b: 3 cm
Step-by-step explanation:
just set up a proportion 4.5/3 = x/2 and solve for x by multiplying across and getting the equation 3x=9 and then divide by 3.
What is the equation of a line parallel to Y=-3x+5 that passes through point (6,8)?
Answers
9514 1404 393
Answer:
y = -3x +26
Step-by-step explanation:
We assume the given line is ...
y = -3x +5
This is in slope-intercept form:
y = mx +b
where m = -3 and b = 5.
The parameter m represents the slope of the line. A parallel line will have the same slope, so will be of the form ...
y = -3x +b
We can find the value of b using the given point:
8 = -3(6) +b
26 = b . . . . . . add 18
So, the equation of the parallel line through (6, 8) is ...
y = -3x +26
Simplify.
√3(√6+√15)
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Explanation: You take √3 and carry it to √6 and √15. This means doing √3 times √6 and √3 times √15. Doing so gives you √18 + √45. Simplifying the roots would give you 3√2 + 3√5. How you get from √18 to 3√2 is that you make a factor tree of 18. Any factor that is the same will be added to the coefficient. In this case, 3 would have to be your coefficient. The factors of 18 are 2, 3, and 3. If there are two of the same factors, you put them together as one. (In this case, the two 3’s would become one 3.) How you get from √45 to 3√5 is doing the exact same process that happened from getting √18 to 3√2 except you would make a factor tree of 45. (The factors of 45 are 5, 3, and 3. Two 3’s make one 3.) Therefore, your answer in exact form would be 3√2 + 3√5.
I hope this helps. Sorry if I did not understand the question correctly.
The required simplified solution of the given expression is (√2 + √5).
Given that, to simplify the expression √3(√6+√15).
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Given expression,
= √3(√6+√15)
= √3×√6 + √3 ×√15
= √3×√3×2 + √3 ×√3×5
= √3×√3(√2 + √5)
= 3(√2 + √5)
Thus, the required simplified solution of the given expression is (√2 + √5).
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Find the unknown side length. Round to the nearest tenth if necessary.
Leg = 5, hypotenuse = 16
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What is the volume of the composite figure? Use 3.14 for Pi. Round to the nearest hundredth.
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Answer:
376.52 is the volume of the composite figure.
Step-by-step explanation:
Let's break this into two shapes.
A rectangular prism and a hemisphere
Volume Formula for rectangular prism: l • h • w
Volume Formula for hemisphere: (2/3)πr^3
l • h • w
10 • 4 • 8
40 • 8
320
Rectangular Prism: 320
(2/3)πr^3
2/3(3)^3
2/3(3.14)(27)
2.09333333333(27)
56.52
Hemisphere: 56.52
320 + 56.52 = 376.52
The volume of the composite figure is 376.52 [tex]cm^{3}[/tex].
What is volume of hemisphere?The total space occupied by a hemisphere in a 3-dimensional region is called its volume. Geometrically a hemisphere is an exact half of a sphere.
Volume of hemisphere = [tex]\frac{2}{3} \pi r^{3}[/tex]
What is volume of cuboid?The volume of the cuboid is the measure of the space occupied within a cuboid. The cuboid is a three-dimensional shape that has length, breadth, and height.
Volume of cuboid = Length × Width × Height
Given
Radius of hemisphere r = 3
Volume of hemisphere = [tex]\frac{2}{3} \pi r^{3}[/tex]
Volume of hemisphere V1= [tex]\frac{2}{3} \pi r^{3}[/tex]
= [tex]\frac{2}{3} .(3.14).(3)^{3}[/tex]
= 56.52 [tex]cm^{3}[/tex]
Volume of cuboid V2 = Length × Width × Height
= 10 × 8 × 4
= 320 [tex]cm^{3}[/tex]
The volume of the composite figure V = V1 + V2
V = 56.52 + 320
V = 376.52 [tex]cm^{3}[/tex]
Hence, the volume of the composite figure is 376.52 [tex]cm^{3}[/tex].
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please help me answer it
Answers
Answer:
Yes, I think. I could be wrong but hopefully not!
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
it follows a pattern so it is a function. I am pretty sure about this because I learned about functions and non functions a few classes ago.
how do you solve the problem 2x+3y=25,4x-y=15 for substitution
Answers
Answer:
X=5 Y=5
Step-by-step explanation:
Solve for x
4x + 8 = 6x – 1
Answers
Answer:
x = 9/2
Step-by-step explanation:
4x + 8 = 6x - 1
4x - 6x = - 1 - 8
-2x = -9
2x = 9
x = 9÷2
x = 9/2
-TheUnknownScientist
write an equation in slope intercept form of the line that passes through (-5, 19) and (5, 13). y=
Answers
Answer:
y= -[tex]\frac{3}{5}[/tex]x+16
Step-by-step explanation:
[tex]\frac{19-13}{-5-5}[/tex]
-[tex]\frac{6}{10}[/tex]
-[tex]\frac{3}{5}[/tex]=slope
13=-[tex]\frac{3}{5}[/tex](5)+C
13=-3+C
16=C=y intercept
Alright I know what your all thinking the answer is 2, but it says I’m wrong. Am I doing something wrong?
Answers
Answer:
3.75
Step-by-step explanation:
Follow PEMDAS
P = parentheses so first it will turn to 30 divided by 3 times 5
E = exponents we dont have any
M = multiplication 30 divided by 8
D = division = 3.75
who is correct science or religious
Answers
Answer:
it depends on what you believe, butttt i would say science
Answer: Science.
Step-by-step explanation: In my opinion science makes more sense than religion because it has proof, but I do not have anything against religious people.
GUYS HELP FAST ILL MAKE IT WORTH YOUR TIME
Answers
Answer:
1 and 4 parallel lines are straight
Step-by-step explanation:
Can someone please help fr.
Answers
Answer:
IM LOOKING FOR THE ANSWER TO LOL
Step-by-step explanation:
What is the slope of this line?
Enter your answer as a fraction in simplest term in the box
Answers
Answer:
m = 0
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points given from the graph.
Point (0, 2)
Point (7, 2)
Step 2: Find slope m
Substitute: [tex]m=\frac{2-2}{7-0}[/tex]Subtract: [tex]m=\frac{0}{7}[/tex]Divide: [tex]m=0[/tex]Any horizontal line will have a slope of 0.
And we have our final answer!
a regular pentagon and an equilateral triangle have the same perimeter...........
(Please don't answer with anything that doesn't relate to it, such as no mimicking please i beg you)
I only have 1 hour before class help please
Answers
Answer:
Option 4: 45 units is the correct answer
Step-by-step explanation:
Let [tex]P_1[/tex] be the perimeter of Pentagon and
Let P2 be the perimeter of Triangle
So,
[tex]P_1 = 5(\frac{1}{2}x-1)\\P_2 = 3(x-5)[/tex]
In order to find the perimeter of each figure we have to put both the expressions equal so that the value of x can be found and then perimeter.
So,
[tex]P_1 = P_2\\5(\frac{1}{2}x-1) = 3(x-5)\\\frac{5}{2}x-5 = 3x-15\\\frac{5}{2}x-3x = -15+5\\\frac{5x-6x}{2} = -10\\-\frac{x}{2} = -10\\-x = -10 * 2\\-x = -20\\x = 20[/tex]
Putting x = 20 in 2nd perimeter
[tex]P_2 = 3(x-5) \\= 3(20-5)\\= 3(15)\\=45[/tex]
As both the perimeters are same, the perimeter of pentagon will also be 45 units.
Hence,
Option 4: 45 units is the correct answer
Find the equation of the line through (0,-2) and (4, 18).
Answers
Let me = slope
m = (18 - (-2))/(4 - 0)
m = 20/4
m = 5
We now plug slope 5 and one of the given points into the point-slope formula.
y - y_1 = m(x - x_1)
y - 18 = 5(x - 4)
y - 18 = 5x - 20
y = 5x - 20 + 18
y = 5x - 2
Done!
Akio buys scissors for $3.79, tape for $2.57, and pens for $5.80. The sales tax is 6.25%.
What is the amount of tax for Akio's purchases?
Enter your answer in the box
Answers
Answer:
$0.76
Step-by-step explanation:
3.79+2.57+5.8=12.16
12.16 x 0.0625=0.76
To solve this, you have to add all the prices together and then convert the percentage into a number so that you can multiply it by the total sales. You end up with 0.76 cents as the taxes for Akio's Purchase.You convert the percentage by moving it backward 2 decimal places.
Answer:
is o.76
Step-by-step explanation:
I took the quiz
Find the slope (-3,10) (-3,7)
Answers
Answer:
Undefined because the x values are the same
Step-by-step explanation:
Slope: y2 - y1 / x2 - x1
Slope: 7 - 10 / -3 - - 3
Slope: -3 / -3 + 3
Slope: -3 / 0
Slope: undefined
2. A plumber charges a $70 fee for a repair plus $30 per hour. Write an equation to model the
total cost y of a repair that takes x hours. What is the slope? What is the y-intercept?
(3 points)
Answers
Answer:
y = 70 + 30x
slope 30
y intercept 70
Step-by-step explanation:
x + y = 4.25
16.90x + 4y = 36.35
Answers
Answer:
x=1.5 y=2.75
Step-by-step explanation:
Answer:
Step-by-step explanation:
use the first equation to solve the second equation
y = 4.25 - x
16.90x + 4(4.25 -x) = 36.35
16.90x + 17 - 4x = 36.35
12.90x = 19.35
x = 1.5
y = 4.25-1.5
y= 2.75
x=1.50
y=2.75
Million dollar bussyy jk help
Answers
Answer:
2. 2
3. 4
4. 3/4
5. 5/12
6. 6
7. 1/2
Solve 2a² and 3b²-c³ if A=3 ,B=2 ,C=1
Answers
2a² = 2 x 3²
3² = 9
So 2a² = 2 x 9
2a² = 18
We know b = 2 and c = 1, so substitute these values into the expression:
3b² - c³ = 3 x 2² - 1³
2² = 4
1³ = 1
So:
3 x 4 - 1
Using the order of operations we multiply first:
3 x 4 = 12
Take off the 1:
Final answer:
3b² - c³ = 11
what up dogs need help geting 3 more golden crowns to level up to be an expert level please can yall help me
Answers
Answer:
Well all you have to do is answer questions, i have 2 hundred more points until I'm an expert but i have 20 brainliests!
Step-by-step explanation:
Answer:
I can help you, In a few minutes I may post some questions so I'll let you answer em- the thing is, two people need to answer for me to give brainliest so itll take a bit.
Step-by-step explanation:
Mind answering some stuff I have in the meantime?
Hi can someone please help me with my math work?
Answers
Answer:
Integers are 7, 8, 9
Step-by-step explanation:
Let three positive consecutive integers are (n - 1), n, (n + 1)
If the product of the second and the third integer is 72,
n(n + 1) = 72
n² + n = 72
n² + n - 72 = 0
n² + 9n - 8n - 72 = 0
n(n + 9) - 8(n + 9) = 0
(n - 8)(n + 9) = 0
(n - 8) = 0 ⇒ n = 8
(n + 9) = 0 ⇒ n = -9
For n = 8,
Integers will be ⇒ 7, 8, 9
For n = -9,
Integers will be ⇒ -10, -9, -8
Since, all integers are positive,
7, 8, 9 will be the answer.
What is the least common multiple of 25, 10 and 30?
Answers
Answer:
The least common multiple 150 is a product of common & odd prime factors between the integers which is divisible by each one an integer of this same group.
Answer:
150
Step-by-step explanation:
25*6=150
10*15=150
30*5=150