Answers
Answer:
Option (4)
Step-by-step explanation:
By the property of congruence of the triangles given in the figure,
ΔCDE ≅ ΔHFG
By applying triangle sum theorem in ΔCDE,
m∠C + m∠D + m∠E = 180°
32° + 112° + m∠E = 180°
m∠E = 180° - 144°
m∠E = 36°
Corresponding side and angles of two congruent triangles are equal in measure.
Therefore, m∠E = m∠G
36° = (4y + 8)°
4y = 36 - 8
4y = 28
y = 7
Similarly, FG = DE
41 = 3x + 2
3x = 41 - 2
3x = 39
x = 13
Therefore, Option (4) will be the correct option.
Related Questions
Simplify the expression.
4y-y(3 - 7y) + 5+ 2(8- y)
A.)7y2-y +21
B.)-7y2 - y + 21
C.)-8y + 21
D.)-7y+21
Answers
Answer:
The answer is B
Step-by-step explanation:
4y-3y+7y²+5+16-2y
7y²+4y-3y-2y+5+16
7y²-y+21
6 times the difference between q and 1
Answers
Answer:
6q-1. It's not factorsble with rational mumbers.
Answer:
6q - 6
Step-by-step explanation:
6 x (q - 1) =
6 x q - 6 x 1 =
6q - 6
Hope that helps! :)
-Aphrodite
PLEASE ANSWER ASAP WILL MARK BRAINLIEST!!
There are 5 red marbles, 15 blue marbles, and 5 green marbles in a bag. You reach in and randomly draw a marble,
replace it, and draw another marble. What is the probability that the first will be red and the second will be blue?
a.) 20%
b.) 80%
c.) 8%
d.) 12%
Answers
Answer: Hope This Helps!
Step-by-step explanation:
I would estimate around 8% or 12% is the answer. Red Marbles are a small percentage and the chance it will be picked instead of something else is rare however blue marbles are the most common and chance one will be picked is fairly high.
Select the correct answer.
What is the measure of ABD?
(3x +9)
(45-6x)
C
OA 4
OB. 9
OC 21
OD. 27
OE 36
Reset
Next
Answers
Answer:
C. 21°
Step-by-step explanation:
In triangle ABC, perpendiculars dropped on the sides AB and AC from the ray BD are equal in measure or congruent.
Therefore, ray BD is equidistant from the sides AB and AC.
So, ray BD will be the bisector of angle ABC.
[tex] \therefore m\angle ABD = m\angle DBC[/tex]
(Angle bisector theorem)
[tex] \therefore (3x+9)\degree = (45-6x)\degree [/tex]
[tex] \therefore 3x+9 = 45-6x[/tex]
[tex] \therefore 3x+6x = 45-9[/tex]
[tex] \therefore 9x = 36[/tex]
[tex] \therefore x =\frac{36}{9}[/tex]
[tex] \therefore x =4[/tex]
[tex] \therefore (3x+9)\degree = (3*4+9)\degree=(12+9)\degree =21\degree [/tex]
[tex] \implies m\angle ABD=21\degree [/tex]
The measure of angle ABD is 21°. Therefore, option C is the correct answer.
What is an angle bisector?The angle bisector in geometry is the ray, line, or segment which divides a given angle into two equal parts.
In triangle ABC, perpendiculars dropped on the sides AB and AC from the ray BD are equal in measure or congruent.
Therefore, ray BD is equidistant from the sides AB and AC.
So, ray BD will be the bisector of angle ABC.
m∠ABD=m∠DBC (Angle bisector theorem)
3x+9=45-6x
3x+6x=45-9
9x=36
x=36/9
x=4
So, 3x+9=3(4)+9=21°
Thus, m∠ABD=21°
Therefore, option C is the correct answer.
Learn more about the angle bisector here:
brainly.com/question/12896755.
#SPJ7
Alfredo has different colored spiral notebooks in his backpack. Which of the following models could be used to simulate a 1 in 3 chance of Alfredo randomly selecting a red spiral from his backpack?
Answers
Answer:
the fourth option
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.
Probability of choosing a red spiral = number of red spiral / total sum of spirals in the bag
1st option = 2 / 4 = 1/2
2nd option = 4/8 = 1/2
3rd option = 2/3
4th option = 2/6 = 1/3
the fourth option is correct
rotate the object 90 degrees around the origin. What are the new coordinates?
Answers
Answer:
s
Step-by-step explanation:
d
Find the value of x. NO LINKS!!!
Answers
9514 1404 393
Answer:
z° = 44°
Step-by-step explanation:
The sum of angles in a triangle is 180°.
44° +52° +z° +40° = 180°
z° = 44° . . . . . . . . . . . . . . . . subtract 136° from both sides
The value of z is 44.
_____
There is no "x".
Now we have to,
→ find the required value of z.
The equation is,
→ A + B + C = 180°
Let's solve for the value of z,
→ A + B + C = 180°
→ (52 + z) + 44 + 40 = 180
→ 136 + z = 180
→ z = 180 - 136
→ [ z = 44° ]
Hence, the value of z is 44°.
PLZZ HELP!!!
Which graph shows the solution to the system of equations 2x + y = 4 and 3x - 2y = 6?
Answers
Answer:
the last one
Step-by-step explanation:
__________________
20. Miguel started with $50
in his bank account. He
deposited $20. The next day
he withdrew $40. How much
is in his bank account?
Answers
Answer:
-$10
Step-by-step explanation:
50-20=
30
30-40
= -10
= $70
Then subtract the $40 from the new total
70-40
=$30
Which of the following assumptions is not required for the Least Squares principle to produce the line of best fit:_______.
a. the error term (e) is a normally distributed random variable
b. R-square must be greater than 1.0
c. the variance of the error term is constant
d. all of the above are correct answers
Answers
Answer:
b. R-square must be greater than 1.0
Step-by-step explanation:
For a least square regression fit, Assumptions include : Absence of heteroscedasticity, which is the variation must not occur in the variance of the error term. That is the variance between error term and each observation is consistent.
Also, Lack of correlation between observations of the error term and also between independent variables and the error term. It is highly recommended that error term be randomized and normally distributed variable.
The value of R - squared being greater Than 1 is. not an assumption of the least square principle for fitting a regression line.
The interest for a bank account is compounded quarterly. The equation 480(1.08)12 is used to calculate the value of the account after some amount of time.
The yearly interest rate for the account is
8%
3%
2%
32%
12%
Answers
Answer:
8%
Step-by-step explanation:
1.08 is an increase of 0.08, which is 8%
Answer: 3%
Step-by-step explanation:
since the total amount ended up being 12 your going to divide by 4 which is the quartly amount which is how u end up with 3%.
What is the lateral surface area, in square inches, of the figure formed by the net?
Answers
Answer:
71 in²
Step-by-step explanation:
surface area = (4×6)+(2×½×4×5)+(2×½×6×4.5)
= 24+20+27 = 71 in²
find the area of the shaded figure
Answers
Answer:
I need degrees and numbers to figure out the answers
if you are given 80 grams of a radioactive element and told that its half-life is 10 years. How much will be left of the substance after 20 years.
Answers
Answer:
20 grams
Step-by-step explanation:
20 years is 2 half lives
1/2 * 1/2 = 1/4
1/4 * 80 = 20 grams
Solve this equation by Euclid's application of areas: x^2 + 12x = 64.
Answers
Answer:
4
Step-by-step explanation:
Can you please help me
Answers
Answer:
is there amultipe choice answer if so list them down
Step-by-step explanation:
what is the mean absolute deviation of the following data set 3, 13, 11, 5
Answers
Answer:
4
Step-by-step explanation:
Add up your data. 3+13+11+5=32Divide the sum by the number of data you have. In your case you would divide 32/4/This will give you 8, which is your mean. Now, subtract 8 from each value and put the difference to its absolute value.Now, add up each of these values (5+5+3+3=16), then divide by 4. This will give you an answer of 4.Hope this helps! Have a great day :)
(3^6/7^-3)= Please I need help!!!
Answers
Answer: [tex]\frac{243}{7}[/tex]
Steps:
[tex]\frac{3^6}{7^-\cdot \:3}[/tex]
[tex]\mathrm{Cancel\:the\:common\:factor:}\:3[/tex]
[tex]=\frac{3^5}{7}[/tex]
[tex]3^5=243[/tex]
[tex]=\frac{243}{7}[/tex]
Hope This Helps!
Help me HOW which choice is it
Answers
number 3 is correct
Step-by-step explanation:
smaller<bigger
I need help asap:
Seventh-grade students at two different schools took the same math test at the end of the school year. Their results are shown below.
The school counselors are planning the numbers of different math classes for these students when they enter eighth grade. Which statement best describes the plan they should follow, based on the information shown?
A
School 1 should have a greater variety of math classes, since the interquartile range is much smaller than at school 2.
B
School 2 should have a greater variety of math classes, since the median is higher than at school 1.
C
School 2 should have a greater variety of math classes, since the interquartile range is much greater than at school 1.
D
School 1 should have a greater variety of math classes, since the median is lower than at school 2
Answers
sorry if i’m wrong
Answer:
its C
Step-by-step explanation:
School 1 IQR = 10
School 2 IQR = 20
Both have a median of 80
School 2
First Quartile:
70
Third Quartile:
90
School 1
First Quartile:
75
Third Quartile:
85
Please Brainiest!
What is the area of the sector for the following circle? Round your answer to 4 decimal places. *
Answers
Answer:
Area = 13.0900 ft²
Step-by-step explanation:
Area of sector = θ/360 × πr²
We are assuming it's the area of the minor sector that we are asked to find.
Therefore,
θ = 360 - 300 = 60°
r = 5 ft
Plug in the values
Area of minor sector = 60/360 × π × 5²
Area = 13.0899694
Area = 13.0900 ft² (to 4 decimal places)
Step-by-step explanation:
The angle of the minor sector will be ,
> 360 - 300 = 60° .
Area of sector :-
> Area = ∅ / 360 × πr²
> A = 60/360 × 3.14 × 5ft²
> A = 13.09 ft²
what's one-sixth of 1/2
Answers
1/12
Hope this helps!
That is the answer
what is the volume of a bow with a width of 3/2 inches a length of 5/2 inches and a height of 4 inches
Answers
Answer:
v=LxWxH
v= 3/2x5/3x4
v=15/6x4
v=10in³
4 (x + 2.5) = 48
Explain your reasoning as well.
Answers
Answer: 9.5 is the answer. You have to distribute through.
Explain: 4x+10=48
Subtract 10 from both sides you get 4x=38. Then divide both sides by 4 you get 9.5.
99 is decreased to 44
Answers
Answer:
99 -? = 44.
99 -a = 44.
99 -44 -a = 44-44.
55 = a.
Javier is buying oak flooring for the living room. How many square feet of flooring does he need to buy?
18 ft
9 ft
BRO
A 162 ft2
B 54 ft2
C 27 ft2
O D. 1812
PLEASE HELP ILL MARK YOU AS BRAINLESS
Answers
54 ft.
Step-by-step explanation:
add 18 on both sides which is 36. then do that with 9 9+9=18 and 18+18=36 36+18=54.
can anyone please help me and also we have to use laws of exponentS
Answers
Answer:
([tex]4^{4}[/tex])^-1
Step-by-step explanation:
hope this helps
The radius of a circle is 7 cm. Enter the circumference of the circle, in cm. Round your answer to the nearest hundredth.
Answers
Answer:
C = 43.98cm. This answer was taken online
Answer:43.98
Step-by-step explanation: Circumfernce = 2 pi r.So what we have to so is first 7(2) = 14 Next we multiply 14 by pi which is about 43.98229... Now we have to round to the nearest hundredth which is two place after the decimal point. So 8 is the number we are rounding. If we look to the right of 8 the number is 2. Anything below 5 we keep the number the same. There you have it your answer will be 43.98
to bake a cake, the recipe calls for 6 eggs. Arline wants to bake 24 cakes for her schools bake sale. how many eggs will she need in all for the 24 cakes?
Answers
Answer:
144 eggs
Step-by-step explanation:
1 cake = 6 eggs
24 * 6 = 144 eggs in total.
A longer way to do it is by adding 6, 24 times.
6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6 = 144
But by multiplying, it makes it easier to find the answer.
When oil is spilled in water, it creates a thin film of water approximately 1 micron thick. A barrel of oil is approximately 42 gallons of oil. If we spill a barrel of oil on the water, what is the area covered by the oil slick
Draw a sketch showing the relevant dimensions.
State your answer in square meters.
State your answer in square kilometers.
Answers
9514 1404 393
Answer:
158,987 m²0.158986 km²Step-by-step explanation:
42 gallons is about 0.158987 cubic meters. 1 micron is 1 micro-meter, or 10^-6 meters. The volume is the product of the area and thickness. For some area A, we have ...
0.158987 m³ = (10^-6 m)A
A = (10^6)(0.158987 m² = 158,987 m²
The area in square meters is 158,987.
__
A square km is (1000 m)² = 10^6 m². So, the area in square kilometers is about ...
(158,987 m²)/(10^6 m²/km²) = 0.158987 km²
The area in square km is about 0.1590.