19. Given that angle BFC = 58°. Angle BXG = 48° and angle CBF 22 Find () 2BGX (iv) BCG (i) 2BGF (iv) ZBFG (ii) BCF H EE 58 48° D C 220 A- Figure 5.74
Answers
The unknown angles in the cyclic quadrilateral is as follows:
∠BGX = 74° (sum of angles in a triangle)
∠BGF = 180° (opposite angles of cyclic quadrilateral are supplementary)
∠BCF = 100°(sum of angles in a triangle)
∠BCG = 26°
∠BFG = 22°
Cyclic QuadrilateralA cyclic quadrilateral has all its angles equal to 360 degrees. The sum of angles in a cyclic quadrilateral is equals to 360 degrees.
Let's find the missing angles as follows:
∠BGX = 180 - 48 - 58 = 74° (sum of angles in a triangle)
∠BGF = 180 - 100 = 80° (opposite angles of cyclic quadrilateral are supplementary)
∠BCF = 180 - 22 - 58 = 100°(sum of angles in a triangle)
∠BCG = 100 - 74 = 26°
∠BFG ≅ CBF = 22°(alternate angles)
learn more on angles here: https://brainly.com/question/19430381
Related Questions
Find x Mean = 12 {18, 15, 18, 3, 3, 19, 12, x}
Answers
Answer:
x = 8
Step-by-step explanation:
The mean is the average of the population.
Multiplying the mean by 8 terms will get you the total sum.
12 * 8 = 96
Subtracting all the values from the total sum should get you x.
96 - 18 - 15 - 18 - 3 - 3 - 19 - 12 = 8
Which phrase describes the algebraic expression 6x?
O the quotient of 6 and a number
O the difference of 6 and a number
O the product of 6 and a number
O the sum of 6 and a number
Answers
Answer:
The product of 6 and a number
Step-by-step explanation:
There isn't any "real" mathematics needed to find the answer, just common background knowledge:
6x = 6 times x,
and product is referencing multiplication
(Since quotient is for division, difference for subtraction, and sum for addition)
considering we need to represent an expression which uses multiplication in words, the correct answer is:
O the product of 6 and a number
PLEASEEE HELP QUICK :D
Answers
Answer:
Option a!
Step-by-step explanation:
inverse means opposite:
First part of the statement:
If I studied for it
(opposite)
If I did not study for it
Second:
I did well on the exam
(opposite)
I did not do well on the exam
Hope this makes sense.
- profparis
Robin got home from school
at 3:45. She spent 2 hours
working on her homework, a
half an hour walking the dog,
and forty-five minutes eating
dinner with her family. Then
she began reading her book.
At what time was she finished
eating dinner?
Answers
Answer:
She was finished with dinner at 6:50
Step-by-step explanation:
3:45 + 2 = 5:45
5:45 + 30 = 6:05
6:05 + 45 = 6:50
5:45+ 30= 6:15
6:15 + 45 = 7:00
Hope this helped
A right angled triangle has hypotenuse 9cm and sides (x+5) and (x-3)cm. calculate x
Answers
Answer:
x= 3.95
Step-by-step explanation:
Hypotenuse = 9 cm
side = (x+5) cm
other side = (x-3) cm
Pythagoras theorem: Hypotenuse² = Base² + Base²
9² = (x+5)² + (x-3)²
81 = x² + 25 + 10x + x² + 9 - 6x
2x² + 4x - 47 = 0
Quadratic Formula
x = (-b±√b²-4ac) / 2a
x = (-4±√16+376) / 2(2)
x = (3.95 and -5.95)
We ignore the negative -5.95
So x = 3.95
Which number is a multiple of 2?
A) 14
B) 21
C) 7
D) 19
Answers
Answer:
The answer is A
Step-by-step explanation:
Since the number that you are finding the multiple of is 2, it has to be an even number. Another way is if 2 by another whole number equals the answer choice then you got your answer.
I don’t understand this question
Answers
Answer:
First pair: -4 and 8
Second pair: -2 and 6
Third pair: -1 and 5
Step-by-step explanation:
-4 + 8 = 4
-2 + 6 = 4
-1 + 5 = 4
Hope this helps
find the circumference with radius (Y) cm?
Answers
Answer:
circumference = 2*PI*Y
Step-by-step explanation:
can you please help me
Answers
Answer:
Angle ABC = 6x
Step-by-step explanation:
this is an isosceles triangle so the values of angle ACB and angle ABC are the same.
1
Find the circumference of the circle shown, correct to two decimal places.
7 cm
Circumference =
Enter your next step here
cm
Answers
Cassie wants to buy carpet to cover her whole living room, except for the tiled floor. The tiled floor is 4
5
6
ft by 2
1
3
ft. Find the area the carpet needs to cover.
Answers
Answer:
1456
Step-by-step explanation:
56x2x13
56x26
1456
7. A cylindrical tank can hold 2279.64 cubic feet of water. The radius of the tank is 11 feet. What is the height of the tank?
Answers
Answer:
r = 8.12
Step-by-step explanation:
The volume for a cylinder is V=πr^2h therefore,
v = 2279.64
h = 11ft
r = ?
2279.64 = πr^2 * 11
[tex]\frac{2279.64}{11}= {\pi r^2} \\[/tex]
207.24 = πr^2
[tex]\frac{207.24}{\pi} =r^2\\\\66 = r^2\\\\\sqrt{66} = r\\\\\\8.12 = r[/tex]
Giving Brainliest if answered correctly
Answers
The researcher had to throw out some surveys because the
participants didn't complete them in full. What happened
to the power? Why?
Answers
Pam’s monthly food budget is equal to 40% of her monthly rent payment. If her food budget is $200 a month, how much is her rent payment each month?
Answers
so we know that 40% for the rent payment is for food, and we also know that those 40% are really 200 bucks, so what would it be for the 100%?
[tex]\begin{array}{ccll} \%&amount\\ \cline{1-2} 40 & 200\\ 100& x \end{array} \implies \cfrac{40}{100}=\cfrac{200}{x}\implies \cfrac{2}{5}=\cfrac{200}{x} \\\\\\ 2x=1000\implies x=\cfrac{1000}{2}\implies x=500[/tex]
PLEASE HELP ME ASAP
( I WILL MARK BRAINLIEST )
Answers
Answer:
6.5
Step-by-step explanation:
BRAINLIEST PLEASE
Find the area. Do you multiply all sides?
Answers
Answer:
The area of the Trapezoid is :
h(a+b)/2
3(2+6.2)/2
3(8.2)/2
24.6/2
12.3 m²
Answer:
Step-by-step explanation:
I think you are to assume that this is a trapezoid and that the top right angle symbol is missing.
Area = (b1 + b2 ) * h /2
Givens
b1 = 2
b2 = 6.2
h = 3
Solution
Area = (2 + 6.2)* 3 / 2 Combine what is inside the brackets
Area = 8.2 * 3 / 2 Divide by 2
Area = 4.1 * 3 Combine
Answer: Area = 12.3
if you spin the spinner 42 times what is the best prediction possible for the number of times it would land on yellow or pink
Answers
Answer:
21
Step-by-step explanation:
There is an equal chance of 21 per each choice. So there is an equal amount of chance to land on both yellow or pink.
Alyssa and Gabriel play the following game. Alyssa rolls a die. If she rolls a 1, 2, or 3, Gabriel gives Alyssa $4. If Alyssa rolls a 4 or 5, Gabriel gives Alyssa $. However, if Alyssa rolls a 6, she gives Gabriel $23.
a) Determine Alyssa's expectation.
b) Determine Gabriel's expectation.
Answers
What is the slope of the line given by the equation below?
y-9 = 15(x - 5)
O A. -5
O B. 9
O C. -9
O D. 15
Answers
Answer:
D
Step-by-step explanation:
this would simplify, in slope-intercept form, as y= 15x - 66
3.-Un camión de pasajeros arranca desde el reposo y mantiene una aceleración de 0.8 mis?
a) ¿En qué tiempo recorrerá una distancia de 0.5 km?
b) ¿Qué rapidez levará en ese tiempo en m/s y en km/h?
Answers
a) El tiempo requerido por el camión para recorrer 0.5 kilómetros es aproximadamente 35.355 segundos.
b) La rapidez que llevará el camión en ese tiempo es 28.284 metros por segundo (101.822 kilómetros por hora).
Caso de movimiento uniformemente acelerado
El camión experimenta un movimiento uniformemente acelerado, que ocurre al considerar que su aceleración ([tex]a[/tex]), en metros por segundo al cuadrado, es constante en el tiempo ([tex]t[/tex]), en segundos.
a) El tiempo requerido es determinado por el siguiente polinomio de segundo orden:
[tex]x = v_{o}\cdot t + \frac{1}{2}\cdot a\cdot t^{2}[/tex] (1)
Donde:
[tex]x[/tex] - Cambio en la posición, en kilómetros. [tex]v_{o}[/tex] - Rapidez inicial, en metros por segundo.Si sabemos que [tex]x = 500\,m[/tex], [tex]a = 0.8\,\frac{m}{s}[/tex] y [tex]v_{o} = 0\,\frac{m}{s}[/tex], entonces tenemos que el tiempo requerido es:
[tex]0.4\cdot t^{2}-500 = 0[/tex]
[tex]t \approx 35.355\,s[/tex]
El tiempo requerido por el camión para recorrer 0.5 kilómetros es aproximadamente 35.355 segundos. [tex]\blacksquare[/tex]
b) La rapidez final ([tex]v[/tex]), en metros por segundo, se determina con el siguiente polinomio de primer orden:
[tex]v = v_{o} + a\cdot t[/tex] (2)
Si sabemos que [tex]v_{o} = 0\,\frac{m}{s}[/tex], [tex]a = 0.8\,\frac{m}{s^{2}}[/tex] y [tex]t = 1250\,s[/tex], entonces tenemos que la rapidez final es:
[tex]v = 0 + 0.8\cdot (35.355)[/tex]
[tex]v = 28.284\,\frac{m}{s}[/tex] [tex]\left(101.822\,\frac{km}{h} \right)[/tex]
La rapidez que llevará el camión en ese tiempo es 28.284 metros por segundo (101.822 kilómetros por hora). [tex]\blacksquare[/tex]
Para aprender más sobre movimiento uniforme, invitamos a ver esta pregunta verificada: https://brainly.com/question/118814
You are debating about whether to buy a new computer for $800.00 or a refurbished computer with the same equipment for $640.00. If you are paid $10.00/hour and your deductions are FICA (7.65%), federal tax withholding (12%), and state tax withholding (8%), how many hours do you have to work to pay for the refurbished computer?
answer choices:
98 hours
89 hours
111 hours
Answers
Total earnimgs per hour=10$
After deduction
Percentage=7.65+8+12=27.65%Total earnings
10-27.65%×1010-0.2765(10)10-2.7657.335$Total hours:-
640/7.33587.25Approximately 89 hours
The scores on a psychology exam were normally distributed with a mean of 52 and a standard deviation of 6. About what percentage of scores were less than 40?
Answers
Using the normal distribituion, it is found that 2.28% of of scores were less than 40.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem, the mean and the standard deviation are given by, respectively:
[tex]\mu = 52, \sigma = 6[/tex].
The proportion of scores that were less than 40 is the p-value of Z when X = 40, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{40 - 52}{6}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a p-value of 0.0228.
2.28% of of scores were less than 40.
More can be learned about the normal distribituion at https://brainly.com/question/24663213
Chris completes a word search in 3 minutes. Oliver takes
20 seconds longer. How long did Oliver take?
seconds
Answers
Answer: 200 seconds
Okay - so then Oliver would take 3 minutes and 20 seconds. There are 60 seconds in a minute so it would be 30 times 60 = 180 + 20 = 200
In 1994, the moose population in a park was measured to be 4180. By 1999, the population was measured again to be 3480. If the population continues to change linearly: Find a formula for the moose population, P, in terms of t, the years since 1990. P(t)=? What does your model predict the moose population to be in 2002?
Answers
"If the population continues to change linearly", meaning the pattern or equation is the equation of a straight line.
[tex](\stackrel{x_1}{1994}~,~\stackrel{y_1}{4180})\qquad (\stackrel{x_2}{1999}~,~\stackrel{y_2}{3480}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3480}-\stackrel{y1}{4180}}}{\underset{run} {\underset{x_2}{1999}-\underset{x_1}{1994}}}\implies \cfrac{-700}{5}\implies -140[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4180}=\stackrel{m}{-140}(x-\stackrel{x_1}{1994}) \\\\\\ y-4180 = -140x + 279160 \\\\\\ y = -140x+283340~\hfill \boxed{P(t)=-140t+283340}[/tex]
what if t = 2002?
[tex]P(2002)=-140(2002)+283340\implies P(2002)= 3060[/tex]
2/3 of the pizza was left over last night. Then, Marcy ate another 2/9 of it. How much is left over now?
Answers
Answer:
4/9 is left over.
Step-by-step explanation:
First make the denominators the same. 2/3=6/9. 6/9-2/9=4/9.
100 Points ! ! !
Exploiting points will be reported.
Brain deposited $9,824 into a savings account for which interest is compounded daily at a rate of 3.62%. How much interest will he earn after 8 years?
SHOW WORK AND WILL GIVE BRAINLIST
Answers
$3299.62
compounded daily interest : [tex]\sf A = P(1 + \dfrac{r}{n})^{nt}[/tex][tex]\sf 9,824.00(1 + \dfrac{3.62\%}{365})^{(365)(8)}[/tex][tex]\sf \$13,123.62[/tex]
total money he will have : $13,123.62
amount earned : $13,123.62 - $9,824 = $3299.62Answer:
Interest = $3,299.64 (nearest cent)
Step-by-step explanation:
Compound interest formula: [tex]\sf I=P(1+\frac{r}{n})^{nt}-P[/tex]
where:
I = total interest earned over time periodP = initial principal balancer = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsedGiven:
P = $9,824r = 3.62% = 0.0362n = 365t = 8 yearsSubstituting given values into the formula and solving for I:
[tex]\sf \implies I=9824(1+\frac{0.0362}{365})^{365 \times8}-9824[/tex]
[tex]\sf \implies I=13123.62461-9824[/tex]
[tex]\sf \implies I=3299.62 \ (nearest \ hundredth)[/tex]
Help picture below problem 5
Answers
Answer:
option A is the correct answer!!
Step-by-step explanation:
mark me brainliest
A) angel OJP
Explanation(name by its vertex, by the three points of the angle (the middle point must be the vertex),
need help please and I have more questions on the same topic like this .
Answers
Step by step:
There are 3 buttons that have a length of 3/4 inches.
3/4 x 3 = 2 1/4
Answer 1 1/4
Step-by-step explanation:
You can get this by finding 3/4 on the line plot and counting the x's. Then you must add the 3 x's which means 3 of 3/4 and sum is your answer. Be sure to change improper to proper fraction. 9/4 to 1 1/4.
Examine the diagram.
What is the m<1?
O 21°
O 42°
O 71°
O 82 °
Answers
Answer:
O 21 your ita not correct