QUESTION :
Find the given value of each angle for the following supplementary angles must add up to 180
[tex]\Large{\underline{\mathcal{ Given : }}}[/tex]
one angle = (5x-13)°another angle = (11x+65)°[tex]\Large{\underline{\mathcal{Tofind : }}}[/tex]
value of each angle[tex]\Large{\underline{\mathcal{Solution : }}}[/tex]
➱ᴛʜᴇ ᴛᴡᴏ ᴀɴɢʟᴇs ʟɪᴇs ᴏɴ ᴛʜᴇ sᴀᴍᴇ ʟɪɴᴇ
➱ѕσ ѕυм σƒ вσтн тнє αηgℓєѕ = 180°
therefore ,
⤳(5x-13)° + (11x+65)° = 180°
⤳5x -13° + 11x + 65° = 180°
⤳16x + 52° = 180°
⤳16x = 180° - 52°
⤳16x = 128°
⤳x = 128 /16
[tex]\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\underline{\boxed{\sf{ x = \frak{\red{ 8 }}}}}[/tex]
hence ,
the two angles will be
⇛ᴏɴᴇ ᴀɴɢʟᴇ :
➛(5x-13)°
➛5(8) - 13
➛40 - 13
[tex]\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\underline{\boxed{\sf{ᴏɴᴇ\: ᴀɴɢʟᴇ = \frak{\red{ 27° }}}}}[/tex]
⇛ᴀɴᴏᴛʜᴇʀ ᴀɴɢʟᴇ :
➛ (11x+65)°
➛11(8)+65
➛88 + 65
[tex]\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\underline{\boxed{\sf{ᴀɴᴏᴛʜᴇʀ\: ᴀɴɢʟᴇ = \frak{\red{ 153° }}}}}[/tex]
In 2005, the population of a state was 31,006,000. If the population grows at 1.2% per year, approximately how
many years (from 2005) will it take the population to reach 40,000,000? (Assuming it grows at the same rate)
use the continuous growth function:
A=pen
150 years
249 years
21 years
26 years
Answer:
Step-by-step explanation:
Population of the state will reach 40,000,000 in 21 years from year 2005.
Option (3) will be the correct option.
Exponential growth of the poulation: Exponential growth for the population growth is given by the expression,
F = I(1 + r)ⁿ
Here, F = Final population
I = Initial population
r = Growth rate
n = Number of years for population growth
Given in the question,
Initial population = 31006000Growth rate = 1.2%Final population = 40000000To find the number of years for population growth, substitute the values,
F = I(1 + r)ⁿ
40000000 = 31006000(1 + 0.012)ⁿ
40000 = 31006(1.012)ⁿ
[tex](1.012)^n=\frac{40000}{31006}[/tex]
[tex]\text{log}(1.012)^n=\text{log}(1.29)[/tex]
nlog(1.012) = log(1.29)
0.00518n = 0.11059
n = [tex]\frac{0.11059}{0.00518}[/tex]
n = 21.34
n ≈ 21 years
Therefore, population of the state will reach 40,000,000 in 21 years from 2005. Option (3) will be the answer.
Learn more about the exponential degrowth here,
https://brainly.com/question/25704728?referrer=searchResults
Please help it’s a test! Brainliest
Find the unit rate round to nearest hundredth if necessary!
No files please :)
Answer:
the correct answer is [tex] 4\frac{1}{2} [/tex]
Please tell me if any are wrong. Thankyou. I will give brainliest
Answer:
Those are all correct!
Step-by-step explanation:
Great Work! Have a Nice Day!
Answer:
nope ur good
Step-by-step explanation:
but the 4th one is wrong
HELP PLEASE, I will give brainliest! Algebra work!
Answer:
I'm pretty sure its y-3.5=-1.25x
Step-by-step explanation:
Find the value of
x² when x=6
مز
Answer:
Step-by-step explanation:
What the hell is that
Answer:
36 is equal to x² if x=6 however im not sure what that other symol is maybe an accident?
Step-by-step explanation:
Bryce is building a triangular prism for a roof of a dollhouse. All the sides of the roof will be painted except the bottom. Which net has shaded faces for the faces that will be painted?
Answer:
the 3 one
Step-by-step explanation:
i got a 100%
PLEASE ANSWER ASAP WILL MARK BRAINLIEST!!
Find the surface area of a rectangular prism that has the following dimensions.
length: 2 ft
width: 14 in.
height: 11
surface area= ____ in.^2
Answer:
408in.^2
Step-by-step explanation:
the formula is 2(wl×hl×hw)
Answer:
1508
Step-by-step explanation:
Find an
angle 0 coterminal to -1032°, where 0°
Delta math
you will find the answer in tube
A baker is making apple pies. He uses 24 apples for every 5 pies. How many apples will he need to bake 20 pies?
The Jones brother, Carl, Cameron, and Carlos, are painters. Together they can paint a standard sized room in 2 hours. If Carl is alone on the job he can paint the room in 5 hours. If Cameron is alone he can paint the room in 6 hours.
Answer: Best anwser 5.5
Step-by-step explanation:
There are 24 events at an indoor track and field meet. The ratio of track events to field events is 7:5. How many of the events are track event
What is the domain of the following relation? {(-3, -8), (-2, 9), (1, -1), (5, 3)}
Answer:
Domain:
{−3,−2,1,5}
Step-by-step explanation:
The domain of the given relation is {-3, -2, 1, 5} of the following relation {(-3, -8), (-2, 9), (1, -1), (5, 3)}
The domain of a relation refers to the set of all possible input values or x-values in the relation. In the given relation {(-3, -8), (-2, 9), (1, -1), (5, 3)}, the x-values or the first components of each ordered pair represent the domain.
The domain of a relation is the set of all possible input values or x-values for which the relation is defined. It represents the range of values that can be used as inputs to the relation to obtain corresponding outputs. In other words, the domain is the set of values that the independent variable can take in the relation.
Therefore, the domain of the given relation is {-3, -2, 1, 5}.
To know more about domain here
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Find the missing leg of the right triangle where one leg is 8 and
hypotenuse =16 (round to the nearest tenth.)
Answer:
im not sure!! sorry
Step-by-step explanation:
I'm not smart
Answer:
13.85
Step-by-step explanation:
You square 16 and get 256. Then you square 8 ang get 64. then you subtract 64 from 256. You get 192, you square root that and get 13.85.
Point P divides the directed segment from A to B in the ratio 9 to 2. The coordinates of point A are
(-4,-2) and the coordinates of point P are (2, 1). Find the coordinates of point B. Round your answer to
the nearest tenth if necessary.
Answer:
[tex]B =(3.3,1.7)[/tex]
Step-by-step explanation:
Given
[tex]A(x_1,y_1) = (-4,-2)[/tex]
[tex]P(x,y) = (2,1)[/tex]
[tex]m : n = 9 : 2[/tex]
Required
The coordinates of [tex]B(x_2,y_2)[/tex]
The line segment from ratio is calculated as:
[tex](x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]
Substitute: A, P, m and n
[tex](2,1) = (\frac{9 * x_2 + 2*-4}{9+2},\frac{9*y_2 +2 *-2}{9+2})[/tex]
[tex](2,1) = (\frac{9x_2 -8}{11},\frac{9y_2 -4}{11})[/tex]
Multiply through by 11
[tex](22,11) = (9x_2 -8,9y_2 -4)[/tex]
By comparison:
[tex]9x_2 - 8 = 22[/tex]
[tex]9y_2 - 4 = 11[/tex]
So, we have:
[tex]9x_2 - 8 = 22[/tex]
[tex]9x_2 = 22 +8[/tex]
[tex]9x_2 = 30[/tex]
Solve for x2
[tex]x_2 = 30/9[/tex]
[tex]x_2 = 3.3[/tex]
[tex]9y_2 - 4 = 11[/tex]
[tex]9y_2 = 11+4[/tex]
[tex]9y_2 = 15[/tex]
Solve for y2
[tex]y_2 =15/9[/tex]
[tex]y_2 =1.7[/tex]
So, the coordinates of B is:
[tex]B =(3.3,1.7)[/tex]
Find the measure of the angle indicated in bold
Plss help
Answer:
Solution given:
9x-4=8+7x[Vertically opposite angle]
9x-7x=8+4
2x=12
x=12/2
x=6
:.8+7x=8+7×6=50°
Answer:
50
Step-by-step explanation:
9x - 4 = 8 + 7x
x = 6
Therefore, 8 + (7 *6) = 50
The measure of the angle is 50
Thenks and mark me brainliest :)))
Question 1
The value of all accounts investments and things that you own
1. Assets
2. Money
3. Net Worth
4. Liabilities
How does math anxiety affect working memory, and why do such changes in
working memory interfere with math performance?
Which of the following phrases are equations? Choose 2 answers: 3 b = 9 7 + 19 = 26 a + 9 > 72 | 0 ty 1
Answer:
B and C
Step-by-step explanation:
Both have = signs
Answer:
B C
Step-by-step explanation:
B C
if the area of a wall is 36 square meters, what is the perimeter?
Answer:
18
Step-by-step explanation:
it is 18 because you would 36 divided by 4 to get 9. Then you would do 9 plus 6 to get the answer 18
What is the perimeter of the rectangle 2 cm x 2 cm and 1 cm x 1 cm
Answer:
l=P over 2﹣w
Step-by-step explanation:
Someone help me. I've been trying to do this one my own. But I just can't.
9514 1404 393
Answer:
1) x = 4
2) ? = 20
8) x = 5
Step-by-step explanation:
Use the applicable relationships to write an equation involving the unknown. Solve the equation.
__
1) We note that the marked arcs are the same length. In a circle, chords that subtend arcs of the same measure are the same length.
5x -1 = 4x +3
x = 4 . . . . . . . . . . add 1-4x to both sides
__
2) A tangent meets a radius at right angles. The given triangle is a right triangle, so the Pythagorean theorem applies.
12² +16² = x²
144 +256 = x² = 400
x = √400 = 20
The missing value is 20.
__
8. Tangents from the same point are the same length.
4x -8 = 12
4x = 20 . . . . . add 8
x = 5 . . . . . . . divide by 4
_____
Additional comment
In problem 2, you note the ratio of side lengths is 12 : 16 = 3 : 4. This should give you a clue that this is a 3-4-5 right triangle. The long (missing) side will be 5, scaled by the scale factor of 4, so will be 4×5 = 20.
Wake up and help me out thank youuuuu !!!!
Please answer this I'm confused with it
Answer:
x intercepts are (4,0) and (-6,0)
axis of symmetry is x=-1
vertex is (-1,-25)
Step-by-step explanation:
Answer:
x intercepts are (4,0) and (-6,0)
axis of symmetry is x=-1
vertex is (-1,-25)
Step-by-step explanation:
Al resolver la siguiente adición de fracciones 2/3 + 1/2 + 1/8 , se obtiene
Answer
31/24
Step-by-step explanation:
16/24 + 12/24 + 3/24 = 31/24
What is 767,000 expresses in scientific notation
Answer:
767,000 in scientific notation is [tex]7.67*10^5[/tex].
Step-by-step explanation:
A number is written in scientific notation when there is a number greater than or equal to 1 but less than 10 and multiplied by a power of 10. In this case, if 767,000 were to be written in scientific notation, then you need to move the decimal place of the number until you have a number that meets the requirement above. 7.67 would be the number to use, and you need to multiply that by a power of 10 that makes the product the original number, so the power would be 5. So 767,000 in scientific notation would be [tex]7.67*10^5[/tex].
what is 6/22 simplest form.
If all of the diagonals are drawn from a vertex of a quadrilateral, how many triangles are formed?
1
2
3
04
Answer:
4
Step-by-step explanation:
From the chioces give it would be 4
But it is actually 8
Divide.
-2 5/12 divided by 1/3
Answer:
Step-by-step explanation:
-7.25
:D hope it helps
What’s the answer (no link I give brainly)
Answer:
C
Step-by-step explanation:
i got this correct on my test
Find the measure of angle w.'
5 points
wo
124°
О124
О 34
оооо
56
Answer:
56
Step-by-step explanation:
Angles w and 124 are linear pair angles,
w + 124 = 180
w = 180 - 124
w = 56