Answer:
m<Q = 93 degrees
m<R = 87 degrees
Step-by-step explanation:
Given the following angles;
m<Q = 9x-6
m<R = 8x-1
Looking at Devin's work, we will see that he the sum of both angles is 180 degrees
Hence m<Q + m<R = 180
9x - 6 + 8x - 1 = 180
9x+8x-6-1 = 180
17x - 7 = 180
17x = 180 + 7
17x = 187
x = 187/17
x = 11
Get m<Q
m<Q = 9x - 6
m<Q = 9(11) - 6
m<Q = 99 - 6
m<Q = 93 degrees
Get m<R
m<R = 180 - m<Q
m<R = 180 - 93
m<R = 87degrees
Answer:
93 and 87
Step-by-step explanation:
edge 2021
help please!!
[tex]\text{solve the following equation : }[/tex]
[tex] \sf\tan^{2}(\theta)-(1+\sqrt{3})\tan(\theta)+\sqrt{3} = 0[/tex]
Answer:
[tex] \huge \boxed{ \red{ \boxed{\begin{cases} \theta = {45}^{ \circ} \\ \theta= {60}^{ \circ} \end{cases} }}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:trigonometryPEMDASlet's solve:distribute tan(θ):
=>tan²(θ)-(tan(θ)+√3tan(θ))+√3=0
remove parentheses:
=>tan²(θ)-tan(θ)-√3tan(θ)+√3=0
so this equation is now in standard form i.e ax²+bx+c=0
we can solve by factoring as we solve quadratic equation
factor out tanθ:
=>tan(θ)(tan(θ)-1)-√3tan(θ)+√3=0
factor out -√3:
=>tan(θ)(tan(θ)-1)-√3(tan(θ)-1)=0
group:
=>(tan(θ)-√3)(tan(θ)-1)=0
separate it as two different equation:
[tex] \implies \begin{cases} \tan( \theta) - 1 = 0 \\ \tan( \theta) - \sqrt{3} = 0 \end{cases}[/tex]
add 1 and √3 to both sides to first and second equation respectively:
[tex] \implies \begin{cases} \tan( \theta) - 1 + 1 = 0 + 1 \\ \tan( \theta) - \sqrt{3} + \sqrt{3} = 0 + \sqrt{3} \end{cases} [/tex]
[tex] \implies \begin{cases} \tan( \theta) = 1 \\ \tan( \theta) = \sqrt{3} \end{cases} [/tex]
[tex] \therefore \begin{cases} \theta = {45}^{ \circ} \\ \theta= {60}^{ \circ} \end{cases} [/tex]
Enter the number that belongs in the green box
Answer:
60
Step-by-step explanation:
The length of adult King Cobra snakes is normally distributed with µ = 18 feet and σ = 2.1 feet. What is the probability that a randomly selected adult King Cobra snake be over 15.9 feet long? 85.54% 79.08% 15.87% 84.13%
Answer:
the probability that a randomly selected adult King Cobra snake be over 15.9 feet long is 84.13%
Step-by-step explanation:
The computation of the probability is shown below":
P(x>15.9) is
[tex]= P (\frac{x - \mu}{\sigma} > \frac{15.9 - 18}{2.1} )\\\\= P (z>-1)\\\\= 0.8413\\\\= 84.13\%[/tex]
Hence, the probability that a randomly selected adult King Cobra snake be over 15.9 feet long is 84.13%
We simply applied the above formula
Answer:
the probability that a randomly selected adult King Cobra snake be over 15.9 feet long which is 84.13%
Step-by-Step Explanation:
P(X 15.9). Solve for the z-score and then match it with the probability from the area under the normal curve table. Once that is found, take the complement or use symmetry to solve
Note:
Hope this helps you in the future.
Learn More:
https://brainly.com/question/6305087?referrer=searchResults
$1,000 at 7.5% for 30 months
Step-by-step explanation:
principal=1000
rate=7.5
time=30 moths
interest= principal multiplied to rate multiplied to time by 100
which give 100multiplied to 7.t multiplied to 30 by 10p
which gives 22500by 100
which gives 225
amount= interest plus principal
= 225+1000
=1225
The graph below shows a company's profit f(x), in dollars, depending on the price of goods x. in dollars, being sold by the
company:
Part A: What do the x-intercepts and maximum value of the graph represent?
Part B: What are the intervals
where the function is increasing and decreasing, and what do they represent about the sale and
profit?
Part C: What is an approximate average rate of change of the graph from x = 1 to x = 3, and what does this rate represent?
Answer:
What do the x-intercepts and maximum value of the graph represent? The x-intercepts represent the points at the ground, so with that you have the width of the tunnel at ground level is 120 ft - 0 ft = 120
Step-by-step explanation:
[tex]y= 82(1.045)[/tex]What is the rate of growth Michael expects each week after launching the website?
y=82(1.045)
Answer: pls help with the answer this is hard
Step-by-step explanation: i really need help!!!
Name the ordered pair for the point
Answer:
the answer is 1,1 1/2 os c
Step-by-step explanation:
Frodo goes to New Army and buys two pairs of jeans for $19.99 each, 3 shirts at $7.99 each, and a pack of socks for $5. He has a
coupon for 25% off his entire purchase. Sales tax is 7 %. What is the total cost after the discount and tax? $
109points plsss helpppppp now
Answer:
lol i answered on another 1 of ur things
Suppose John is a 14-year-old boy who weighs 45 kg (100 lbs). John is at the 25thpercentile of weight for his age. Twenty-five percent of 14-year-old boys weigh the same or less than John and 75% weigh more than John. If John’s height is 170 cm (almost 5’7”), he is at the 75thpercentile of his height for age. Based on the informationgiven about John, how would you describe John’s general appearance?
Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the quadrilateral. Show
your work.
Answer:
A= 94°, B = 102°, C = 86°, D = 78°Step-by-step explanation:
ABCD is a cyclic quadrilateral
It has the property that opposite angles are supplementary: A with C and B with D.
Solve following for x:
x + 6 + x - 2 = 180°2x + 4 = 180°2x = 176°x = 88°The angles are:
A = 88° + 6° = 94°C = 180° - 94° = 86°D = 88° - 10° = 78°B = 180° - 78° = 102°What are the ratios of sine, cosine, and tangent for angle Y? sin(Y) = StartFraction X Z Over X Y EndFraction; cos(Y) = StartFraction Y Z Over X Z EndFraction; tan(Y) = StartFraction Y Z Over X Y EndFraction sin(Y) = StartFraction X Y Over X Z EndFraction; cos(Y) = StartFraction X Z Over X Y EndFraction; tan(Y) = StartFraction Y Z Over X Z EndFraction sin(Y) = StartFraction X Z Over X Y EndFraction; cos(Y) = StartFraction Y Z Over X Y EndFraction; tan(Y) = StartFraction X Z Over Y Z EndFraction sin(Y) = StartFraction Y Z Over X Y EndFraction; cos(Y) = StartFraction X Z Over X Y EndFraction; tan(Y) = StartFraction X Z Over Y Z EndFraction
Answer:
[tex]\sin Y= \frac{XZ}{XY}[/tex]
[tex]\cos Y= \frac{YZ}{XY}[/tex]
[tex]\tan Y= \frac{XZ}{YZ}[/tex]
Step-by-step explanation:
Given
See attachment for triangle
Required
Find [tex]\sin, \cos[/tex] and [tex]\tan[/tex] of angle Y
For angle Y:
[tex]Opposite = XZ[/tex]
[tex]Adjacent = YZ[/tex]
[tex]Hypotenuse = XY[/tex]
The [tex]\sin[/tex] of an angle is calculated as:
[tex]\sin\theta = \frac{Opposite}{Hypotenuse}[/tex]
So:
[tex]\sin Y= \frac{XZ}{XY}[/tex]
The [tex]\cos[/tex] of an angle is calculated as:
[tex]\cos\theta = \frac{Adjacent}{Hypotenuse}[/tex]
So:
[tex]\cos Y= \frac{YZ}{XY}[/tex]
The [tex]\tan[/tex] of an angle is calculated as:
[tex]\tan\theta = \frac{Opposite}{Adjacent}[/tex]
So:
[tex]\tan Y= \frac{XZ}{YZ}[/tex]
Answer:
c
Step-by-step explanation:
hi please answer this xoxo will mark brainliest
since isosceles has 2 sides that are equal then,
270 - 108 = 162
divide 162 by 2
162 ÷ 2 = 81
so, C
Answer:
A.)
Step-by-step explanation:
108 + 100 + 62 = 270
Find the absolute value.
1 -31=___
-1 121=___
-1 -221=___
Answer:
-30
120
-222
Step-by-step explanation:
Solve for X
Solve for X
Solve for X
Answer: it is 4
Step-by-step explanation:
Answer:
Opposite sides of the parallelogram are congruent
[tex]3x+4=16[/tex][tex]3x=16-4[/tex][tex]3x=12[/tex][tex]x=12/3[/tex][tex]x=4[/tex]------------------------hope it helps...have a great day!!What angle is paired with angle D as an alternate interior angle?
Answer:
E
Step-by-step explanation:
i dont know at this point
Answer:
angle E
Step-by-step explanation:
Hello There!
We need to find an angle that is a pair with angle D and they have to be alternate interior angles
alternate interior angle properties:
On the inside of the parallel linescongruentIn the image below; represents a pair of alternate interior angles
These properties match angle D with angle E
Why? they are both on the inside of the parallels
They also happen to be congruent
find the real zeros of k(x)= x^3 - 2x^2 +2x -4
Answer: k=x^3-2x^2+2x-4/x
Step-by-step explanation: hope this helps!
If i have 172 centimetres of ribbon to decorate a gift basket. How many more centimetres of ribbon would i need to make 3 metres
What is the sum of the degree measures of the complement and the supplement of a 16° angle?
Answer:
270?
Step-by-step explanation:
180 + 90 = 270
A cube has a volume of 64. What is the side length of one side
#15
Answer:
4
Step-by-step explanation:
volume is equal to a x a x a
This means that [tex]a^{3}[/tex] = V
Therefore, a = cube root of V, which is 4
Evaluate each expression
7 + 9=
43 - 5=
Some students want to order shirts with their school logo, The Tees company charges $9.65 per shirt
plus a setup fee of $43. The Shirtz company charges $8.40 per shirt plus a $58 fee. Which company
would you recommend to the students?
Anne solved 5(2x−3)=20x+15 for x by first multiplying 5 and 2x on the left side of the equation. She got the answer x = −95. When she substituted −9/5 into the original equation her answer was incorrect. Explain Anne’s error, and find the correct answer.
Answer: x=-3
Step-by-step explanation:
Anne's error is that she only multiplies 5 and 2x on the left side, she needs to multiply 5 and 2x, and also that she needs to multiply 5 and -3.
5(2x−3)=20x+15
5(2x) + 5(-3) = 20x + 15
10x - 15 = 20x + 15
-10x - 15 = 15
-10x = 30
x = -3
The table below shows the account value of each of Dmitri's three bank accounts
Dank account
Account value
Savings
8573.73
Retirement
8204.43
Checking
-$435.24
Help Dmitri sort his accounts from lowest to highest absolute value of account value. Click and drag to sort the
tiles
Checking
Retirement
Savings
Answer:
there could be more than one answer...
Step-by-step explanation:
Answer:
Retirement Checking Savings
Step-by-step explanation:
in that order(khan said so)
Simplify and leave in radical form.
Answer:
Step-by-step explanation:
Expressing in simplest radical form just means simplifying a radical so that there are no more square roots, cube roots, 4th roots, etc left to find. It also means removing any radicals in the denominator of a fraction.
mark me as brill
URGET: Inscribed Angles
Find the measure of angle R.
Answer:
∠ R = 50°
Step-by-step explanation:
The inscribed angle R is half the measure of its intercepted arc QS
QS = 360° - (120 + 140)° = 360° - 260° = 100° , then
∠ R = 0.5 × 100° = 50°
cosec 45^0
= ______ .
Answer:
cosec45° = [tex]\sqrt{2}[/tex]
Step-by-step explanation:
Using the identity
cosec x = [tex]\frac{1}{sinx}[/tex] and the exact value
sin45° = [tex]\frac{1}{\sqrt{2} }[/tex]
Then
cosec45° = [tex]\frac{1}{\frac{1}{\sqrt{2} } }[/tex] = [tex]\sqrt{2}[/tex]
La suma de dos números enteros que tienen signos diferentes es:
Answer:
Hhhhhhhhnnnnnnnnnn
Step-by-step explanation:
Bbb
Please help me question is in the picture
Answer:
1. Down
2. 9 units down
3. Left
4. 5 units left
.
Find the y-intercept of y - x = 7.
Last question for the day plz help thank you!!<3
Answer: A
Step-by-step explanation: