Answers
Answer:
48°
Step-by-step explanation:
1) The sum of the interior of any triangle is 180°. a + b + c = 180°. We need to find the value of x first before finding the angle F.
2) Substitute the values into a + b + c = 180, where [tex]a=6x-4[/tex], [tex]b =5x-7[/tex], [tex]c=8x-18[/tex].
Hence,
[tex]6x-4+5x-7+8x-18=180\\19x-29=180\\19x=180+29\\19x=209\\x=\frac{209}{19} \\x=11[/tex]
3) Find the angle of F by substituting 11 into x.
[tex]=5(11)-7\\=55-7\\=48[/tex]
Therefore, angle F has a measure of 48°.
Related Questions
Megan rolls a ball down a ramp until the ball hits the wall.
Answers
Rashad wants to buy a TV which is $235. He already has $35. If he saves $25 a week. For at least how many weeks he has to save money so that he can buy the TV?
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help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answers
Answer:
1. No
2. No
3. No
4. Yes
Step-by-step explanation:
Insert each y value into the equation. If it equals -14, then it is a solution to the equation. The only one of these y values that is a solution is the last one, -2.
8 * (-2) = -16
-16 + 2 = -14
So y = -2 is a solution.
simplify 2 by 5 into 4 by 7 + 21 by 35
Answers
[tex] \frac{2}{5} \times \frac{4}{7} + \frac{21}{35} \\ = \frac{8}{35} + \frac{21}{35} \\ = \frac{8 + 21}{35} \\ = \frac{29}{35} [/tex]
Answer:[tex] \frac{29}{35} [/tex]
Hope it helps.
Do comment if you have any query.
[tex]if \: \sqrt{2} + \sqrt{3} \div 3 \sqrt{2} - 2 \sqrt{3} = x + \sqrt{6y} \: find \: the \: value \: of \: x \: and \: y[/tex]
Answers
Given info:- [tex]\textsf{If (√3+√2)/(3√2-2√3) = x+y√6,} [/tex]
[tex]\textsf{then find the value of x and y?}[/tex]
Explanation:-
[tex]\textsf{Consider LHS=}\\[/tex]
[tex] \rm \: \frac{ \sqrt{2 } + \sqrt{3} }{3 \sqrt{2} - 2 \sqrt{3} } \\ [/tex]
[tex] \rm \: = \frac{ \sqrt{2 } + \sqrt{3} }{3 \sqrt{2} - 2 \sqrt{3} } \times \frac{3 \sqrt{2} + 2 \sqrt{3} }{3 \sqrt{2} + 2 \sqrt{3} } \\ [/tex]
[tex] = \rm \: \frac{( \sqrt{2 } + \sqrt{3} )(3 \sqrt{2} + 2 \sqrt{3} )}{(3 \sqrt{2} - 2 \sqrt{3})(3 \sqrt{2} + 2 \sqrt{3}) } \\ [/tex]
[tex] \rm \: = \frac{3 \sqrt{2 \times 2} + 2 \sqrt{3 \times 2} + 3 \sqrt{2 \times 3} + 2 \sqrt{3 \times 3} }{(3 \sqrt{2} {)}^{2} - (2 \sqrt{3} {)}^{2} } \\ [/tex]
[tex] \rm = \frac{3 \times 2 + 2 \sqrt{6} + 3 \sqrt{6} + 2 \times 3}{18 - 12} \\ [/tex]
[tex] \rm \: = \frac{12 + 5 \sqrt{6} }{6} \\ [/tex]
[tex] \rm \: = 2 + \frac{5}{6} \sqrt{6} \\ [/tex]
[tex] \rm \therefore \: 2 + \frac{5}{6} \sqrt{6} = x + y \sqrt{6} \\ [/tex]
[tex]\textsf{On, comparing with RHS we notice that:}\\[/tex]
[tex]\textsf{the value of x = 2 and y = 5/6.}\\[/tex]
[tex]\bf{Read more:}[/tex]
[tex]\textsf{Similar questions}\\[/tex]
[tex] \sqrt{6} + \sqrt{11} \div \sqrt{5} + \sqrt{3} [/tex] A. [tex] \sqrt{30} + 3 \sqrt{2} + \sqrt{55} + \sqrt{33} \div 8[/tex] B. [tex] \sqrt{30} - 3 \sqrt{2} ...
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You start driving east for 5 miles, turn left, and drive north for another 12 miles. At the end of driving, what is your straight line distance from your starting point? Round to the nearest tenth of a mile.
Answers
Answer:
13 ≈ 10 miles
Step-by-step explanation:
Have a nice day
You start driving east for 5 miles, turn left, and drive north for another 12 miles. At the end of driving So, the straight-line distance from your starting point is 13 miles.
What is Pythagoras' Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
|AC|^2 = |AB|^2 + |BC|^2
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
You start driving east for 5 miles, turn left, and drive north for another 12 miles. At the end of driving,
[tex]|AC|^2 = |AB|^2 + |BC|^2 \\\\|AC|^2 = |5|^2 + |12|^2 \\ \\|AC|^2 = 25 + 144 \\\\AC = \sqrt{169} \\\\AC = 13[/tex]
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2 The salary of 157 employees in an office for a month is 710, 582, what is the annual salary of 1 employee, assuming all are paid equally
Answers
Answer: $4526
Step-by-step explanation:
Ratio of employees to cash
157:710528
Divide both sides by 157 to find how much 1 employees is paid
1: 4526
Answer:
710 582 - salary of all employees in a month
157 - number of employees
The monthly salary of each employee is 4526.
The 4526 is obtained by dividing the salary of all employees to their number which is 157.
The question is, "What is the salary of 1 employee assuming all are paid EQUALLY?"
To get it, just multiply 4526 into 12 (annually). So the answer is 54312
(sin30° + cos30°) – (sin 60° + cos60°)
Answers
Answer:
0
Step-by-step explanation:
Sin 30° = ½
Cos 30° = √3/2
Sin 60° = √3/2
Cos 60° = ½
Therefore,
(½ + √3/2) - (√3/2 + ½)
[tex] \frac{1 + \sqrt[]{3} }{2} - \frac{ \sqrt{3 + 1} }{ 2 } [/tex]
[tex] \frac{1 + \sqrt{3} - \sqrt{3} - 1}{2} [/tex]
[tex] \frac{0 - 0}{2} [/tex]
Answer: 0
For more information on trigonometric refer to this link
Without calculating, explain how you can tell if the value of the expression (-2.37) - (.7.91) - (2.45)?
Answers
Answer:
33343555
4
3
4
34
2354555444
5224
34
32555555
555
5
32
55233=3=44
Step-by-step explanation:
fully simplify 124:72:48
Answers
Answer:
31:18:12
............................
Find the total surface area of these solids
Answers
Area(cube)=1.44cm²*6
=8.64cm²
Same thing with the prism but we have to find the area of one of his triangle face and rectangle faceS(triangle)=5mm*4mm*1/2
=10mm²
S(rectangle)=7mm*5mm=35mm²
The prism has 2 triangle faces and three rectangle faces so we multiply the area by those numbers and then we add those together to get the final areaS=10mm²*2+35mm²*3
S=20+105
S=125mm²
Hope this helped..Hope this helped..Brainliest pls..Find the equations of a line through these 2 points
(1,2) & (3,5)
2. (-2,0) & (0,8)
3. (4,-5) & (11,-5)
4. (6,2) & (9,3)
6. (6,2) & (10,3)
5. (7,5) & (6,11)
Answers
answer is 2.2 66 88862 u88272
9000 is borrowed at 4.5% rate of interest pa for 2 years. Find the amount to be paid at the end of the second year? pleasee need answer fastt
Answers
Answer:9810
Step-by-step explanation:
S.I. = PRT/100
9000 ×4.5 × 2/100
S.I = 810
Amount after 2 years = 9000+810
= 9810
Jill lives 3 1/2 miles from school. One morning, her friend was giving her a ride. When they were 2/3 of the way to school, their car broke down and they had to walk the rest of the way. Draw a picture to help you figure out how far they walked.
Answers
We want to find the distance that Jill and her friend must walk, we will see that the distance is (1 + 1/6) miles
So the total distance of the travel is:
(3 + 1/2) miles.
2/3 of that distance are made in the car, then the other 1/3 is the distance that they must walk. A rough sketch of the situation is shown at the end.
Then we must solve:
(1/3)*(3 + 1/2) miles = ((1/3)*3 + (1/3)*(1/2)) miles
= (1 + 1/6) miles
So the distance that they must walk is (1 + 1/6) miles
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HELPPPPPP!!!!!!!!!!!!!!!
Answers
Answer:
I might be wrong i think its C but double check and dont put it in until you are sure its right
Step-by-step explanation:
Pls help me asap!! Only answer if u know the correct answer! Thanks! :)
Answers
Step by step:
If each floor is 12 ft high, then we can multiply any number by that to get the ft high.
Since there is 14 floors, we can multiply it by 12.
Hope this helped!! :)
12*14=168
Hope this helps!
ordered pairs on a vertical line have the same y coordinate. true, sometimes true or not true?
Answers
I’m a vertical line, they will always have the same x axis, but never the same y axis
Mai skated x miles, and Clare skated farther than that. Write an expression for the distance Clare skated. Write an equation to represent the relationship between the distance Mai skated (x) and the distance Clare skated (y).
Whats the answer?
Answers
Answer:
X over y or x/y since y is claire and she skated more
Step-by-step explanation:
Pls brainliest
PLEASE HELP!! I WILL MARK BRAINLIST IF RIGHT!! Using the graph above, how many hours would it take to drive 262.5 miles? (Picture below)
Answers
the admission fee at an amusement park is $3.50 for children and $7.20 for adults. on a certain day, 344 people entered the park, and the admissions fees collected totaled $1870. How many children and how many adults were admitted
Answers
Answer:
180 adults, 164 children
Step-by-step explanation:
Assuming all the people admitted are children,
total fees collected
= 344($3.50)
= $1204
Difference in amount collected
= $1870 -$1204
= $666
This difference in amount is due to the extra cost from each adult admission fee that we assumed to be children.
Difference in each admission fee
= $7.20 -$3.50
= $3.70
Number of adults admitted
= $666 ÷$3.70
= 180
Number of children admitted
= 344 -180
= 164
How to convert rectangular to polar.
Answers
Answer:
To change a rectangular equation to a polar equation just replace x with r cos θ and y with r sin θ .
1. Order each set of numbers from least to greatest.
a) 23 405, 23 100, 680 155, 680 056, 607 463
b) 320 376, 409 217, 317 758, 329 000, 320 768
Answers
b) 317758, 320376, 320768, 329000, 409217
When an object moves in a circle the __________ of the object is continually changing. What is the missing word in this sentence?
Answers
Answer:
velocity
Step-by-step explanation:
The velocity of the object is continually changing. This velocity is the slope of the tangent line to the curve at a given point on the curve.
The corrected sentence is: When an object moves in a circle, the velocity of the object is continually changing.
What is a circular motionCircular motion involves not only changes in the object's orientation or direction but also changes in its velocity.
Velocity includes both the speed of the object's movement and its direction. As an object moves around a circle, even if it maintains a constant speed, its velocity is changing because the direction in which it is moving is always changing.
This change in velocity is what allows the object to maintain its circular path rather than moving in a straight line.
Learn more about Velocity
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Last year, 120 students were sick at school. This year, 20% fewer students are sick. How many students are sick this year?
PLZ PLZ PLZ explain step by step.
Answers
0.20 × 120 = 24
Then all you need to do is subtract:
120 - 24 = 96
So the number of students that got sick this year is:
96 students
Match each linear equation to its slope and y-intercept.
slope:2, y-intercept:
-3+5y = 4
slope:2, y-intercept: 2
5y-1 =15
slope:$, y-intercept:
2y-3.1 = 7
slope:6, y-intercept: 3
2y=5T+7
slope:-5, y-intercept: 5
Answers
Answer:
-x + 5y = 4
5y = x + 4
y = x/5 + 4/5
Slope: 1/5
Y-intercept: 4/5
5y - x = 15
5y = x + 15
y = x/5 + 3
Slope: 1/5
Y-intercept: 3
2y - 3x = 7
2y = 3x + 7
y = 3/2x + 7/2
Slope: 3/2
Y-intercept: 7/2
2y = 5x + 7
y = 5/2x + 7/2
Slope: 5/2
Y-intercept: 7/2
Find x-intercept and y - intercepts of y = 6x – 1
Answers
Answer:
Look at photo
Step-by-step explanation:
i) Factorise x^2 - x - 20
Answers
[tex](x + 4)(x - 5)[/tex]
hope it helps#carryonlearning
see the attachment for the explanation
help with the problem in picture
Answers
Answer:
The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
Step-by-step explanation:
For A brainly please help me out
Answers
Answer: 2, 2
Brainly?
Directions: Tell whether the following is a quadratic inequality or not.
1. y = 4x2 + 3x + 9 = ____________________________
2. m + 4 > 0 = ____________________________
3. m2 + 3m + 2 < 0 = ____________________________
4. �� ≤ (x - 5) = ____________________________
5. b2 -14b -15 < 0 = ____________________________
6. (4d2-9) + (2d +3) > 0 = ____________________________
7. x > 8x = ____________________________
8. 0 > 2x2 - 262 = ____________________________
9. n2 +4n =21 = ____________________________
10. 15 – 4p ≥ 10p2 = ____________________________
Answers
Anser
(b2 – 4ac). sorry if this doesnt help it doesnt make sense on my screen it shows a weird equation
Step-by-step explanation: