The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answers
Answer:
x=7
Step-by-step explanation:
a triangles Angel's should add up to 180 all together
So, 71+64=135
180-135= 45
now that you have found the missing angle, you need to find x.
set the equation equal to 45:
8x-11=45
now solve:
8x-11 =45
add 11 to both sides to cancel out the negative 11 and try to get x alone:
8x=56
divide 8x by 8 and 56 by 8 to get x alone:
x=7
Related Questions
Given \sin A=\frac{5}{\sqrt{89}}sinA=
89
5
and that angle AA is in Quadrant I, find the exact value of \cos AcosA in simplest radical form using a rational denominator.
Answers
Answer:
First don't forget the [ tex ] [ /tex ] in order to execute the latex code.
Step-by-step explanation:
[tex] \sin A=\frac{5}{\sqrt{89}}sinA= 89 [/tex]
[tex] \cos AcosA [/tex] = [tex] \cos [/tex]
The exact value of cosine of angle A for the considered case using a rational denominator in simplest radical form is 8√(89)/89
What are the six trigonometric ratios?Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.
In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).
The slant side is called hypotenuse.
From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.
From that angle (suppose its measure is θ),
[tex]\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}\\\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\\\\\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}\\\\\cot(\theta) = \dfrac{\text{Length of base}}{\text{Length of perpendicular}}\\\\\sec(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of base}}\\\\\csc(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of perpendicular}}\\[/tex]
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
Given that:
[tex]\sin A=\dfrac{5}{\sqrt{89}}[/tex]
So, from this, we are given the ratio of perpendicular and hypotenuse from the perspective of angle A.
There must be existing a right triangle with same measure of angle A such that:
Perpendicular's length = P = 5 units
and Hypotenuse' length = H = [tex]\sqrt{89}[/tex] units.
Using Pythagoras theorem, we get:
Base' length = B as:
[tex]P^2 + B^2 = H^2\\B = \sqrt{H^2 - P^2}\\\\B = \sqrt{(\sqrt{89})^2 - 5^2}\\\\B = \sqrt{89-25} = \sqrt{64} = 8[/tex]
(took positive root as B is representing length, a non-negative quantity).
Thus, Base is of 8 units length.
Thus, we get:
[tex]\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\\\\\cos(A) = \dfrac{B}{H} = \dfrac{8}{\sqrt{89}}[/tex]
Rationalizing, we get:
[tex]\cos(A) = \dfrac{8}{\sqrt{89}} =\dfrac{8}{\sqrt{89}} \times \dfrac{\sqrt{89}}{\sqrt{89}} \\\\\cos(A) = \dfrac{8\sqrt{89}}{89}[/tex]
Thus, the exact value of cosine of angle A for the considered case using a rational denominator in simplest radical form is [tex]\dfrac{8\sqrt{89}}{89}[/tex]
Learn more about Pythagoras theorem here:
https://brainly.com/question/12105522
What is the area of the shaded region in the given circle in terms of pi and in simplest form?
A) (120pi + 6 sqrt 3) m^2
B) (96pi + 36 sqrt 3) m^2
C) (120pi + 36 sqrt 3) m^2
D) (96pi + 6 sqrt 3) m^2
Answers
Answer:(120pi +6 square root 3) msquared
Step-by-step explanation:
In 16-19, use the equations to compete the tables. (Picture provided)
Answers
Answer:
16. 20, 25
17. 3, 4
18. 5, 7
19. 6.5, 5, 3.5, 2, 0.5
Step-by-step explanation:
The way you would solve this is by replacing the variable with an x-value, the answer would be the y-value.
Dante invests $3,500 and learns 2% in simple interest each year assuming he makes no additional deposits or withdrawals how much will his investment be worth in 5 years
Answers
Answer:
answer in the picture
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
A
Step-by-step explanation:
x is greater than 2 so all numbers bigger than 2 will be shaded. the circle is open because its not less than or equal to or greater than or equal to.
Mr. Franco’s seventh grade science class recorded the daily high temperatures during the month of November. The temperatures are shown in the table.
Daily High Temperatures (°F)
38
36
34
34
30
35
40
37
28
26
33
42
23
30
22
35
24
24
32
26
29
33
30
28
28
34
20
29
23
25
What is the upper quartile of the daily high temperatures?
a.
30
c.
34
b.
36
d.
42
Please select the best answer from the choices provided
A
B
C
D
Answers
Answer:
. jsjjsjsjsns jsjikans bjsbbsj. abianan sjsboa kahs hai sbbsjan
bsjsns kskka nanhh aja. sjjab ajj. suhb sjb bsbhshs habaj janab habba
Please answer this question fill in the blanks
Answers
Answer:
First blank is 4.47 and second blank is 4.97
Step-by-step explanation:
It is going up by adding 0.25
Use the GCF to factor: 90u + 80q
Answers
Answer:
10(9u+8q)
Step-by-step explanation:
What’s the answer to this?
Answers
Answer:
18
Step-by-step explanation:
;0
There are 18 boys and 46 girls in a class,
87.5% of the students in the class take the bus
to school. How many students do not take the
bus to school?
Answers
Answer:
8
Step-by-step explanation:
18+46=64
87.5% of 64=56
64-56=8
56 take the bus
8 dont take the bus
What is the the measure of
Answers
Answer:
∠P=29°
Step-by-step explanation:
The exterior angle theorem says that the exterior angle of a triangle is equal to the sum of the two remote interior angles.
56=∠P+27
∠P=56-27
∠P=29
PLS HELP IT’S PAST DUE!
Answers
Answer:
i believe 95 ft ² but I'm not sure sorry
Answer:
95
Step-by-step explanation:
this seems to be a triangular prism. Hopefull this works?
6*1/3 (5+5+5)=95
find the area of the figure drawn on the coordinate plane below
Answers
Answer:
-24
Step-by-step explanation:
GEOMETRY HELP PLEASE!! WILL MARK BRAINLEIST!
3
Answers
Answer:
T(-3,-2)
Step-by-step explanation:
R(x,y)
R(3,2)
P(6,0)
N(0,-4)
A book contains 27 pages with print and 8 pages with print and pictures and 3 blank pages with is the theoretical probability of not opening the book to a printed page only
Answers
Answer: 11/38
Step-by-step explanation: x - y v q r 2÷x029 2%.091 57rq x2 = 11/38
Norachai invests $3,183 in a retirement
account with a fixed annual interest rate of
2% compounded 6 times per year. What
will the account balance be after 18 years?
Answers
Step-by-step explanation:
Are there more than one outlier?
Answers
Answer:
yes there is two
Step-by-step explanation:
the outlier is the ones that are away from all the others
Answer:
Yes there is
Step-by-step explanation:
There are Many more outliers since the data points are scattered
HELP ME PLEASE I'll give brainless.
Answers
Answer:
∠VUX +∠VUS = 180° (straight line)
So, ∠VUS = 137°
Assume you have a credit card balance of $1,000. Your inter est rate on the credit card is 18 percent, and your minimum monthly payments are $ 50. At this rate, how long will it take to your credit card? What would your payment need to be to pay it off in three years? How long would it take to pay off your debt if your interest rate is 14 percent and your minimum monthly payments are $50 ? Use a financial calculator or an on line calculator to do your computations .
Answers
For 3 years payment will be $36.50
For 14% it will take 1.9 years or 23 months
Find the length of leg " a" if leg "b" = 12 and the hypotenuse "c" is 13
Answers
a^2 + (12)^2 = (13)^2
a^2 + 144 = 169
a^2 = 169 - 144
a^2 = 25
Sqrt (a^2) = Sqrt(25)
a = 5
Please mark brainliest if this helps
Answer my question and I’ll give you points, stars, and brainlest
Put the # of the question and than answer it.
I need the answer now
Answers
Celia wants to buy grass seed to cover her whole lawn, except for the pool. The pool is 6 1/2 m by 3 1/4 m. Find the area the grass seed needs to cover.
Answers
Answer:
SINCE YOU WROTE ANYTHING ON MINES IM DOING THE SAME Step-by-step explanation:
I need help with this asap
Answers
Answer:
C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Does this graph show a function?
Answers
9514 1404 393
Answer:
A
Step-by-step explanation:
A vertical line intersects the graph in more than one place. As a consequence, we say the graph "fails the vertical line test." When the test fails, the graph is not a graph of a function.
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answers
Answer:
I think it its
Step-by-step explanation:
C if its wrong sorry
(m−n)(m^−m2+n^) simplify
Answers
Answer:
Step-by-step explanation:
(
−
)
(
−
2
+
)
The number of the given fraction is 4 less than the denominator. If 5 is added to both the numerator and the denominator, the resulting fraction is equivalent to 5/7. What is the original fraction?
Answers
Answer:
5/9
Step-by-step explanation:
Solve for x. Enter the solutions from least to greatest. 6x^2 +1 =487 lesser=x greater=x
Answers
Answer:
(-9, 9)
Step-by-step explanation:
[tex]6x^{2} +1 = 487[/tex] (Given)
-1 -1 (Getting "x" alone)
[tex]6x^{2} = 486[/tex] (Cont. Getting "x" alone)
÷6 ÷6 ↓
[tex]x^{2} = 81[/tex] ↓
[tex]\sqrt{x} ^2 = \sqrt{81}[/tex] (9 and -9 squared are both equal to 81)
↓ ↓ ↓
x = 9 x = -9 (Answer)
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
Carlos finished 5/8 of his art project. Tyler finished 7/8 of his project on Monday. Who finished more of his art project on Monday?
Answers
Which equation best models the data in the table below?
Answers
Answer:
A) y = 0.76x + 3.72
Step-by-step explanation:
Data points: (2, 5) and (11,12)
Slope:
m=(y2-y1)/(x2-x1)
m=(12-5)/(11-2)
m=(7)/9
m= 0.78
Slope-intercept:
y - y1 = m(x - x1)
y - 5 = 0.78(x - 2)
y - 5 = 0.78x - 1.56
y = 0.78x + 3.44
Choice A is the closest to this solution