Answer:
[tex]\text{D) }99^{\circ}[/tex]
Step-by-step explanation:
Define a cyclic quadrilateral by a quadrilateral that is circumscribed by a circle. In this case, since the quadrilateral shown is circumscribed by a circle, it is a cyclic quadrilateral.
A property of all cyclic quadrilaterals is that their opposite angles are supplementary, meaning they add up to 180 degrees. Since [tex]\angle G[/tex] and [tex]\angle I[/tex] are opposite angles in the quadrilateral, they must be supplementary. Therefore, we have the equation:
[tex]\angle G+\angle I=180,\\81^{\circ}+\angle I=180,\\\angle I=180-81=\boxed{99^{\circ}}[/tex]
helpppppppppppppppppppppppppp
A bicycle wheel with radius 26" rotates through an arc that measures 80°. What is the length of the arc of the tire that touched the ground? 5.78 inches 11.56 inches 2.88 inches
Answer:
104/4 pi
Step-by-step explanation:
Answer: The circumference of a circle is:
Radius = r, Diameter = d, C = Circumference
C=2πr (as 2r=d)
C=πd
-------------
If the radius of the circle is 26" then its diameter must be 52".
This means that the bicycle wheel has a circumference of 52π".
I'm going to divide 52π" into 360 parts (because a circle is made up of 360 degrees). I'll then multiply this value by 80 to give you an answer.
Determinar a posição da reta r, de equação 2x-3y+5=0, em relação à reta s, de equação 4x-6y-1=0
Answer:
[tex]2x - 3y = - 5 - - - (a) \\ 4x - 6y = 1 - - - (b) \\ no \: answers[/tex]
From the observation deck of a skyscraper,
Taylor measures a 67° angle of depression
to a ship in the harbor below. If the
observation deck is 1014 feet high, what is
the horizontal distance from the base of the
skyscraper out to the ship? Round your
answer to the nearest tenth of a foot if
necessary.
Given:
Angle of depression from observation deck to a ship = 67°
Height of observation deck = 1014 feet.
To find:
The horizontal distance from the base of the skyscraper out to the ship.
Solution:
Let x be the horizontal distance from the base of the skyscraper out to the ship.
Using the given information draw a diagram as shown below.
In a right angle triangle,
[tex]\tan\theta=\dfrac{Perpendicular}{Base}[/tex]
For triangle ABC,
[tex]\tan A=\dfrac{BC}{AB}[/tex]
[tex]\tan (67^\circ)=\dfrac{1014}{x}[/tex]
[tex]x=\dfrac{1014}{\tan (67^\circ)}[/tex]
On further simplification, we get
[tex]x=\dfrac{1014}{2.35585}[/tex]
[tex]x=430.41789[/tex]
[tex]x\approx 430.4[/tex]
Therefore, the horizontal distance from the base of the skyscraper out to the ship is 430.4 feet.
Applying the Trigonometry ratio, TOA, the horizontal distance from the base of the skyscraper out to the ship is: 430.4 ft.
Recall:
To solve a right triangle, apply any of the Trigonometry ratios, SOH CAH TOA, where necessary.The situation described is shown in an image attached below, where:
BA = horizontal distance from the base of the skyscraper out to the ship (adjacent side length)BC = 1014 ft (Opposite side length)∠A = 67° = reference angle (∅)To find BA, apply TOA, which is:
tan ∅ = Opp/Adjacent
Substitutetan 67 = 1014/BA
[tex]BA = \frac{1014}{tan(67)} \\\\\mathbf{BA = 430.4 $ ft}[/tex]
Therefore, applying the Trigonometry ratio, TOA, the horizontal distance from the base of the skyscraper out to the ship is: 430.4 ft.
Learn more about Trigonometry ratio on:
https://brainly.com/question/10417664
Explain or show that the point (5,−4) is a solution to this system of equations:
3x−2y=23
2x+y=6
Answer:
The x and y values of the coordinates satisfy the system of equations.
Step-by-step explanation:
[tex]when \: x = 5 \: and \: y = - 4 \\ 3x - 2y = 3(5) - 2( - 4) \\ = 15 + 8 \\ = 23 \\ \\ 2x + y = 2(5) + ( - 4) \\ = 10 - 4 \\ = 6[/tex]
Find the area of the triangle, WILL GIVE BRAINLIEST
Answer:
10 cm^2
Step-by-step explanation:
area= 1/2 b*h
1/2 (5) (4)
= 1/2 (20)
=10
area= 10cm^2
Answer:
a = 10cm²
Step-by-step explanation:
a = (1/2)bh
a = (1/2)(5)(4)
a = 10cm²
Simplify each expression by writing the expression without absolute value bars
Answer:
-1
Step-by-step explanation:
When b<4
|b-4| is negative
|b-4| = - ( b-4)
- (b-4) / ( b-4) =
Factoring out (b-4)
-1
NEED HELP ASAP PLEASE
Assume that a three-month CD purchased for $3000 pays simple interest at an annual rate of 10%. How much total interest does it earn?
$ ____
What is the balance at maturity? ______
Answers:
interest = $75balance at maturity = $3075=============================================================
Explanation:
The simple interest formula is
i = p*r*t
where in this case,
p = 3000 = principal (amount deposited)r = 0.10 = annual interest rate in decimal formt = 3/12 = 0.25 = number of yearsSo,
i = p*r*t
i = 3000*0.10*0.25
i = 75 is the amount of interest earned
This adds onto the initial deposit to get the final balance when the CD matures (ie when you're able to withdraw the money without penalties)
The balance at maturity is p+i = 3000+75 = 3075 dollars
---------------
In short, you deposit $3000 into the CD and have to wait 3 months for the amount to update to $3075.
Tyler thinks that this figure has enough information to figure out the values of A and B.
Do you agree? Explain your reasoning.
Answer: No
Step-by-step explanation:
We know that A+B = 90, but without further information we cannot determine the specific values of A and B.
etermine whether the given description corresponds to an observational study or an experiment. In a study of 444 women with a particular disease, the subjects were photographed daily. Does the given description correspond to an observational study or an experiment?
Answer:
observational study
Explanation:
The above is an example of observational study. An observational study merely observes and takes note, it does not try to interfere or intervene with the sample by deciding who would be exposed or not exposed to a certain explanatory variable(such as a disease). On the other hand, the experimental study divide up samples into groups, having the experimental group and the control group. This way the researcher interfers with the sample: The experimental group being the group exposed to the independent/explanatory variable while the other/control group is not.
0.0543 nearest whole number
Answer:
0
Step-by-step explanation:
Ignore the next 2 numbers after 0.05. To the nearest whole number, round 0.05 to the nearest tenth, 0.1. Then round that to the nearest whole number, 0, which is your answer.
A ordinary fair dice is thrown once. What is the probability the dice lands on a even number
fill in the blanks
864+2006=--------+864
5351 +(574+799)= 574+(5351+_____)
Answer:
2006
799
Step-by-step explanation:
Given the expression:
The right hand side of the sun must be equal to the left hand side ;
Therefore ;
864+2006=--------+864
The sum of 864 and 2006 must be equal to the right hand side sum ; hence
864+2006= 2006 +864
Similarly, the left hand side and right havd side must also be equal here ;
5351 + 574 + 799 = 574 + 5351 + 799
Hence, the missing value is 799
The diameter of a circle is equal to twice it's radius
TRUE OR FALSE
Answer:
true
Step-by-step explanation:
The diameter of a circle is a single line segment that stretches the entire width of the circle, intersecting with the center point and two points around the circumference. The diameter measures how wide the circle is, and is always equal to twice the radius (2r).
What is an inscribed polygon is being constructed
A square
Step-by-step explanation:
because there're only 2 circles being create whereas with an equilateral
Answer:
A square
Step-by-step explanation:
Given: DA≈ WG and WA≈DG. Prove that DAW≈ WGD.
Answer:
Step-by-step explanation:
Statements Reasons
DA ≅ WG Given
WA ≅ DG Given
DW ≅ WD Reflexive property
ΔDAW ≅ ΔWGD SSS
y=x^2-2x-8
please help ♀️
Answer: (1, -9)
Hope this helped!
Step-by-step explanation:
4( x + 2) + 6x in the simplest form
Answer:
10x+8
Step-by-step explanation:
4( x + 2) + 6x
Distribute
4x+8 +6x
Combine like terms
10x+8
Answer:
10x+8
Step-by-step explanation:
4x+8+6x
(4x+6x)+8
10x+8
can someone please tell me the answer .
Answer:
Step-by-step explanation:
Answer:
the last one
Step-by-step explanation:
congruent means they are the same and all sides of a square are the same size.
Without graphing, determine the vertex, domain, and range for each of the functions. Does the vertex of each function represent a maximum point or a minimum point? Show all algebraic work to calculate the vertices.
f(x)=(x+4)2+3
Answer:
f(x)=(x+4)+3
f(x)=4x+3
Which statement regarding the diagram is true?
mMKL+mMLK=mJKM mKML+mMLK=mJKM mMKL+mMLK=180 mJKM+mMLK=180
Answer:
mKML+mMLK=mJKM
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. Types of triangles are scalene, acute, obtuse, equilateral, isosceles, and right triangle.
As shown in the diagram, polygon MLK is a triangle. The sum of angles in a triangle is equal to 180°, hence:
m∠MLK + m∠KML + m∠MKL = 180° (sum of angles in a triangle).
m∠MKL = 180 - (m∠MLK + m∠KML) (1)
Also along line JL, the sum of angles on one side of a straight line is 180°, therefore:
m∠JKM + m∠MKL = 180° (sum of angles in a straight line)
m∠JKM + m∠MKL = 180° (2)
From equations 1 and 2, equating give:
m∠JKM + [180 - (m∠MLK + m∠KML)) = 180
m∠JKM + 180 - m∠MLK - m∠KML = 180
m∠JKM = m∠MLK + m∠KML
NO LINKS OR ELSE YOU'LL BE REPORTED! Only answer if you're very good at Math.
Ms. Nellies has 2 1/2 pints of vinegar for her students to use in a science experiment.Each group of students needs 3/8 pint of vinegar.Trey draws the number line model and writes the equation below to help Ms. Nellies figure out how many 3/8-pint serving of vinegar she has.Are Trey's number line model and equation correct?
Trey's number line is _______ because it represents the expression _________.The correct equation is _______.Ms. Nellies has enough vinegar for _________ groups of students.
1st blank box: correct or incorrect
2nd blank box: 2 1/2 x 3/4,2 1/2 ÷ 3/4,2 1/2 x 3/8,or 2 1/2 ÷ 3/8.
3rd blank box: 2 1/2 ÷ 3/8= 6 2/3,2 1/2 ÷ 3/8 = 3 1/3,2 1/2 x 3/8 = 2 3/16, or 2 1/2 ÷ 3/8 = 15/16
4th blank box: 2,6,3,or 0
Answers:
Trey's number line is incorrect because it represents the expression 2 1/2 ÷ 3/4.
The correct equation is 2 1/2 ÷ 3/8 = 6 2/3.
Ms. Nellies has enough vinegar for 6 groups of students.
===========================================================
Explanation:
Trey has the right idea, but made a mistake on how the tickmarks are set up. Focus on the interval from 0 to 1. This section is cut into 4 equal pieces. So each tickmark represents 1/4 of a unit.
Going 3 tickmarks across means 3/4 of a unit is represented. Since each larger arc represents 3/4 of a unit, this means we're dividing the 2 & 1/2 over 3/4 instead of 3/8
That's why Trey's model represents 2 1/2 ÷ 3/4
The value 3 & 1/3 at the end is correct. Visually we see 3 whole jumps plus an extra 1/3 of a jump to arrive at 2 & 1/2. But again, Trey didn't cut the number line up in the right way, so it doesn't matter that he arrived at the correct result of 3 & 1/3 since his initial setup is faulty.
------------------------------
See the diagram below to see what Trey should have drawn. Notice each tickmark represents 1/8 instead of 1/4. Each large blue arc jump represents 3/8 of a unit. We have exactly 6 of these blue arcs plus 2 additional smaller arcs that are 1/3 of the blue arc. So that accounts for the 1/3+1/3 = 2/3 portion.
Overall, we would say that the equation is 2 1/2 ÷ 3/8 = 6 2/3
If you're curious why that equation works, check out the steps below
[tex]2 \frac{1}{2} \div \frac{3}{8} = \frac{5}{2} \div \frac{3}{8}\\\\2 \frac{1}{2} \div \frac{3}{8} = \frac{5}{2} \times \frac{8}{3}\\\\2 \frac{1}{2} \div \frac{3}{8} = \frac{5*8}{2*3}\\\\2 \frac{1}{2} \div \frac{3}{8} = \frac{40}{6}\\\\2 \frac{1}{2} \div \frac{3}{8} = \frac{20}{3}\\\\2 \frac{1}{2} \div \frac{3}{8} = \frac{18+2}{3}\\\\2 \frac{1}{2} \div \frac{3}{8} = \frac{18}{3}+\frac{2}{3}\\\\2 \frac{1}{2} \div \frac{3}{8} = 6+\frac{2}{3}\\\\2 \frac{1}{2} \div \frac{3}{8} = 6\frac{2}{3}\\\\[/tex]
So again, the equation is 2 1/2 ÷ 3/8 = 6 2/3
------------------------------
What does this all mean? Well it means the teacher can break up the vinegar into 6 whole parts plus an additional 2/3 of a part.
In other words, 6 groups will get 3/8 of a pint each. The leftover part 2/3 isn't enough to form that 7th group. Notice in the diagram below, we have 2/8 = 1/4 of a pint which is smaller than 3/8 of a pint.
1/4 = 0.25
3/8 = 0.375
So this is another way to see that the leftovers isn't enough to form a 7th group.
Therefore, she has enough vinegar for 6 groups
Make x the subject of the formula p = x + a b
Answer:
Step-by-step explanation:
x + ab = p
x = p - ab
4(x + 3) + 2x in the simplest form
Answer:
6x + 12
Step-by-step explanation:
Distribute the 4 first. Now you have 4x + 12 + 2x. 4x + 2x are like terms and therefore they can be added. Your final simplified answer is therefore 6x + 12.
Determine the list of numbers 14, 18 and 33 can be measured of the sides of a triangle if so clarify the triangle as a cute right or obtuse
9514 1404 393
Answer:
no
Step-by-step explanation:
The measures 14, 18, 33 cannot correspond to the sides of a triangle. The two short sides total 32 in length, so cannot meet up with the ends of the side whose length is 33. A triangle cannot be formed.
need an answer quick, will give the first right answer brainliest, i need a step by step explanation please
Answer: Imma say C
Step-by-step explanation:
What is the answer to
24 + y = 41
Answer:
y=17
Step-by-step explanation:
move the constant to the right hand side and change it's sign
y=41-24
then subtract the numbers y= 41-24
which = 17
Answer: i believe it is 24 + 17 = 41 ^^ can you give me brainly when you get the chance
Step-by-step explanation:
If the original quantity is 14 and new quantity is 35 what is the percent change
Answer:
150%
Step-by-step explanation:
given:
original quantity = 14
new quantity = 35
increased quantity = 35 - 14
=21
percent change = increased quantity /original quentity * 100%
=21/14 *100%
=21100/14 %
=150 %
i need help finding the answer with step by step
Answer:
x= -1
Step-by-step explanation:
if
f(x) = -x-3
and
f(x) = -2
than
-x-3 = -2; add 3 to both sides
-x-3+3 = -2+3
-x = 1 ; multiply both sides by -1
x= -1
PLS HELP
Which is a solution for the inequality -6x – 5 <-23 ?
(1) O
(2) 2
(3) -2
(4) 5