Answers
Given:
EFGH is a square.
To find:
The [tex]m\angle FHG[/tex].
Solution:
We know that all interior angles of a square are right angles.
[tex]m\angle EHG=90^\circ[/tex] (Right angle)
The diagonals of square are always the angle bisectors.
FH is a diagonal of the square. So, it bisects the angle EHG.
[tex]m\angle FHG=\dfrac{m\angle EHG}{2}[/tex]
[tex]m\angle FHG=\dfrac{90^\circ}{2}[/tex]
[tex]m\angle FHG=45^\circ[/tex]
Therefore, the measure of angle FHG is 45 degrees.
Related Questions
Use the distributive property to expand (simplify): 5(12mu - 7v)
Answers
Answer:
60mu - 35vStep-by-step explanation:
You disturbute 5 into the 12 and add mu and your answer and distribute 5 into the 7 and keep the v with your answer.Hopes this works.[tex]\textsf{Hi Brainy User, I'm Here to Help you!}[/tex]
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\textsf{The \textbf{distributive property} states the following:}[/tex]
[tex].\qquad\bullet\sf{a(b+c)=ab+ac}[/tex]
[tex]\textsf{So we take a number or a variable \textbf{a} and distribute it by multiplying it times b and c}[/tex]
[tex]\textsf{Now we simplify.}[/tex]
[tex]\textsf{5(12mu-7v)=5*12mu-5*7v=60mu-35v}[/tex]
[tex]\Large\textsf{\textbf{Answer: 60mu-35v}}[/tex]
[tex]\Large\overbrace{\underbrace{\boldsymbol{Reflection - RoSe}}}^\star_\star[/tex]
Find an equation of the circle that has center (-6, 6) and passes through (3,-4)
Answers
Answer:
(x+6)² + (y-6)² = 181
Step-by-step explanation:
equation of the circle in general is (x - a)² + (y - b)² = r²
center is (a, b) in our task a=-6 b=6
so equation of the circle is (x+6)² + (y-6)² = r²
we have point (3,-4) ⇒ x=3 y=-4
put x y in equation of the circle ⇒ (3+6)² + (-4-6)² = r² ⇒r² =181
⇒The equation of a circle is (x+6)² + (y-6)² = 181
Answer:
x²+ y² - 109 = 0
Step-by-step explanation:
The coordinate of centre of circle = (-6 , 6)
Point through which it passes = (3 , -4)
So , Firstly find the distance between the centre and that point that will be equal to the radius . Using Distance Formula we have ,
⇒ D = √ [ ( x - x' )² + ( y + y')² ]
⇒ D = √ [ (3+6)² + (6+4)² ]
⇒ D = √ [ 9² + 10² ]
⇒ D = √ [ 81 + 100 ]
⇒ D = √ 181
⇒ D = 13.45 .
Now substituting the respective values in the general equation of circle .
⇒ ( x - h)² + (y - k)² = r²
Where (h,k) is the centre and r is the radius.⇒ { x - (-6) }² + { y - (6) }² = (13.45)²
⇒ ( x + 6 )² + ( y - 6)² = 13.45²
⇒ x² + 36 + 12x + y² + 36 -12x = 181
⇒ x² + y² + 72 = 181
⇒ x² + y² + 72 - 181 = 0
⇒ x² + y² - 109 = 0
Therefore the equation of the circle is x² + y² - 109 = 0 .Lauren studies for 3 \frac{1}{3} 3 1 hours. She took a break every \frac{2}{3 } 3 2 hour. HOW MANY breaks did she take?
Answers
Answer: 5 times
Step-by-step explanation:
Your question isn't well written but let me rewrite it based on what I believe that you wrote.
Lauren studies for 3 1/3 hours. She took a break every 2/3 hour. How many breaks did she take?
To solve the question, we have to divide the number if hours used in studying by the interval used in taking a break. This will be:
= 3 1/3 ÷ 2/3
= 10/3 / 2/3
= 10/3 × 3/2
= 5
She took a break 5 times
what is the probability of that event's complement?
Pinot landing on heads
a) 1/2
b) 2/1
C 1/1
d) 1/4
Answers
Devon’s tennis coach says that 72% of Devon’s serves are good serves. Devon thinks he has a higher proportion of good serves. To test this, 50 of his serves are randomly selected and 42 of them are good. To determine if these data provide convincing evidence that the proportion of Devon’s serves that are good is greater than 72%, 100 trials of a simulation are conducted. Devon’s hypotheses are: H0: p = 72% and Ha: p > 72%, where p = the true proportion of Devon’s serves that are good. Based on the results of the simulation, the estimated P-value is 0.06. Using Alpha= 0.10, what conclusion should Devon reach?
Group of answer choices
Because the P-value of 0.06 < Alpha, Devon should reject H0. There is convincing evidence that the proportion of serves that are good is greater than 72%.
Because the P-value of 0.06 < Alpha, Devon should fail to reject Ha. There is convincing evidence that the proportion of serves that are good is greater than 72%.
Because the P-value of 0.06 < Alpha, Devon should fail to reject Ha. There is not convincing evidence that the proportion of serves that are good is greater than 72%.
Because the P-value of 0.06 < Alpha, Devon should reject H0. There is not convincing evidence that the proportion of serves that are good is greater than 72%.
Answers
Answer:
Because the P-value of 0.06 < a, Devon should reject H0. There is convincing evidence that the proportion of serves that are good is greater than 72%.
Step-by-step explanation:
Right on edge 2022
The conclusion is (a) Because the P-value of 0.06 < Alpha, Devon should reject H0. There is convincing evidence that the proportion of serves that are good is greater than 72%.
How to determine the conclusion?The given parameters are:
Null hypothesis H0: p = 72% Alternate hypothesis Ha: p > 72%,p value = 0.06α = 0.10By comparison, the p-value is less than the alpha value
i.e. 0.06 <0.10
When the p-value is less than the alpha value, the null hypothesis is rejected.
Hence, the conclusion is (a)
Read more about hypothesis tests at:
https://brainly.com/question/15980493
A ) 90
B ) 165
C ) 270
D ) 75
Answers
Answer:
165-90=75
item D
Answer:
Step-by-step explanation:
165-90=75
[tex]\frac{33}{4-\sqrt{5\\} }[/tex]
Answers
Answer:
[tex]12+3\sqrt{5}[/tex]
Step-by-step explanation:
[tex](\frac{33}{4-\sqrt{5}})(\frac{4+\sqrt{5}}{4+\sqrt{5}})=\frac{132+33\sqrt{5}}{16-5}=\frac{11(12+3\sqrt{5})}{11}=12+3\sqrt{5}[/tex]
Are the triangles shown below similar to one another?
Answers
Answer:
yes
Step-by-step explanation:
...............................
Joe is wrapping a birthday present in a box that is 21 inches long, 14.5 inches wide, and 9 inches high. All sides of the box must be covered. What is the surface area that must be covered by wrapping paper? *
Answers
Answer:
2740.5
Step-by-step explanation:
This is what I got why I did was multipley them
Answer:
2740.5
Step-by-step explanation:
This is what I got when I multipled
What are the steps to solving this?
Answers
Answer:
m = 6[tex]\sqrt{3}[/tex] , n = 6
Step-by-step explanation:
Using the sine and cosine ratios in the right triangle and exact values
cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , sin30° = [tex]\frac{1}{2}[/tex] , then
cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{m}{12}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2m = 12[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
m = 6[tex]\sqrt{3}[/tex]
and
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{n}{12}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2n = 12 ( divide both sides by 2 )
n = 6
Here are the prices (in thousands) for 10 houses for sale in a local neighborhood: 285,288,289,290,299,300,308,309,312,314 . Which measure should be used to summarize the data
Answers
Answer:
Mean and Median
Step-by-step explanation:
Given the data :
285,288,289,290,299,300,308,309,312,314
To summarize the data using a measure of centre, considering that the dataset doesn't show a great deal of variation we could use either the mean or median value.
The mean, x = Σx / n
n = sample size = 10
Σx = 2994 ; n = 10
x = 2994 / 10 = 299.4
Also the median value ;
1/2 * (n + 1)th term
1/2 * (10 + 1)th term
1/2 * 11
= 5.5 th term
= (5 + 6)th / 2
= (299 + 300) / 2
= 299.5
LLEASE PLEASE I NEED HELP!!! I’ll mark brainliest
Answers
Answer:
It would be the first answer
Step-by-step explanation:
At the bottom of each graph is the starting point and you can see the red graph starts at 0 where the other does not
Answer:
The graphs make it appear that Cool Cars' prices are much greater, but they are only a little bit greater.
Step-by-step explanation:
hope this helps and is right. p.s. i really need brainliest :)
if this is wrong, then i am incredibly sorry!
I need help also, how do I choose the brainiest? and how do I also give people gems?
Answers
Answer:
x=9
Step-by-step explanation:
Answer:
uhh x=9
Step-by-step explanation:
you choose brainliest by pressing a button that looks like a crown below somones answer that will give them extra points. and i have never heard of gems in brainly.
Write a recursive sequence that represents the sequence defined by the
following explicit formula:
An = 1 - 5(n − 1)
Answers
Answer:
[tex]a_1=1\\a_n=a_{n-1}-5[/tex]
Step-by-step explanation:
a₁ = 1 - 5(1 - 1) = 1 - 5·0 = 1
a₂ = 1 - 5(2 - 1) = 1 - 5·1 = 1 - 5 = a₁ - 5
a₃ = 1 - 5(3 - 1) = 1 - 5·2 = 1 - 5 - 5 = a₂ - 5
a₄ = 1 - 5(4 - 1) = 1 - 5·3 = 1 - 5 - 5 - 5 = a₃ - 5
and so on, therefore:
aₙ = aₙ₋₁ - 5A bag contains 18 balls. There are 6 red balls, 6 yellow balls, and 6 green balls. A ball is drawn at random and returned. Then another ball is drawn at random. Select ALL statements that are true.
A. The expected probability of drawing a green ball first is the same as the expected probability of drawing a green ball second.
B.There are six possible outcomes.
C.The probability of drawing a red ball first is the same as not drawing a red ball second.
D.The expected probability of drawing a red ball and then a yellow ball is 19.
Answers
Answer:
There are 18 balls in the bag:
6 are red
6 are yellow
6 are green.
A ball is drawn at random and then returned.
Then another ball is drawn.
Now, let's analyze each option and let's see if it is true or not.
A) The probability of drawing at random a green ball is equal to the quotient between the number of green balls and the total number of balls.
Then for the first draw, the probability is 6/18
Because the drawn ball is returned, for the second draw we still have 6 green balls and 18 balls in total, then the probability still is 6/18
Statement A is true
B) if we define the notation:
YR
as:
Yellow in the first draw, red in the second draw.
The possible outcomes are:
YR
YG
YY
RR
RG
RY
GR
GG
GY
So we have a total of 9 outcomes, we also can calculate this in the following way:
For the first event (first draw) we have 3 possible outcomes (Y, G, and R)
For the second event (second draw) we have again 3 possible outcomes.
The total number of outcomes is the product between the possible outcomes for each event, this is:
3*3 = 9
Then statement B is false.
C) The probability of drawing a red ball first is:
p = 6/18
The probability of NOT drawing a red ball second, is equal to the probability of drawing a yellow or green ball second (we have 12 balls that are green or yellow, and 18 total balls) then this probability is:
q = 12/18
The probabilities are different, then we can conclude that statement C is false.
fD) The expected probabilty of drawing a red ball and then a yellow ball is the product of the individual probabilities, this is:
prob of drawing a red ball first = 6/18
prob of drawing a yellow ball second = 6/18
Joint probability:
P = (6/18)*(6/18) = (1/3)*(1/3) = 1/9
So statement D is true. (it says 19, i suppose that there is a mistake in this sentence and it actually should say 1/9)
no link! Just pls answer
Answers
✧･ﾟ: *✧･ﾟ:* Answer: *:･ﾟ✧*:･ﾟ✧
✅ A. 120cm ^3
I WOULD APPRICIATE BRAINLIEST!
~ ₕₒₚₑ ₜₕᵢₛ ₕₑₗₚₛ! :₎ ♡
~
Answer:
3769.91
PS: it is probably wrong!
What is the area of the shaded region in the given circle in terms of pi and in simplest form?
A) (120pi + 6 sqrt 3) m^2
B) (96pi + 36 sqrt 3) m^2
C) (120pi + 36 sqrt 3) m^2
D) (96pi + 6 sqrt 3) m^2
Answers
Answer:(120pi +6 square root 3) msquared
Step-by-step explanation:
Can someone please help me with this math problem:):)
Answers
Answer:
i dont understand
Step-by-step explanation:
CAN SOMEONE PLEASE PLEASE PLEASE HELP ME WITH THIS, IT'S URGENT!!!
Answers
Answer:39
Step-by-step explanation:
Yrust me bro
(WIll mark as brainliest) Which one of these graphs is a function and why and why not?
Answers
you’re welcome ! have a great night/day .
A 6ft tall person casts an 18ft shadow. At the same time, a tree casts a 74 ft shadow. What is the actual height of the tree?
Answers
Answer:
24 2/3 feet
Step-by-step explanation:
If the shadow makes is 3 times longer, then the height of the tree is 74/3
74/3 = 24 2/3
two consecutive numbers if the smallest is 11
Answers
Let two consecutive numbers are : x,x+1
Sum of these numbers is -11, then
x+x+1=−11
⇒2x=−11−1=−12
⇒x=−6
and other consecutive number is x+1=−6+1=−5
The answer is -6 and −5
pls help, The graph shown below shows the relationship between average heart rate (in beats per minute) of several
mammal species and their life expectancy (in years)
Answers
Answer:
The answer is Nonlinear Association
Hi There Answer Nonlinear Association
Step-by-step explanation:
What is the image of (−7,−8) after a dilation by a scale factor of 44 centered at the origin?
Answers
Answer:
(-308, -352)
Step-by-step explanation:
For a dilation from the origin, you multiply the x and y by the scale factor.
-7 * 44 = -308
-8 * 44 = -352
(-308, -352)
What is m∠1? help me please
Answers
Answer:
m∠1=111°
Step-by-step explanation:
Since angle 1 is an exterior angle on a straight line, it is the sum of the two outer angles of the triangle.
64+47=111.
So 64+57=111 so 1 = 111
-7,-5 and 2,-8. find the slope between the two points.
Answers
Answer:
m=-8-(-5)/2-(-7)
m=-3/9
Simply to get m=-1/3
Step-by-step explanation:
One endpoint of a line segment has coordinates represented by (x + 2, 3y). The midpoint of the line segment is (6, -3). How are the coordinates of the other endpoint expressed in terms of x and y? O (10 – r, y) O (10 - 1,-6-y) (12 - 2,6 - 3y) (14 – 1,3 - y) 1 2 3 4 5 Next
Answers
Simplify the mathematical expression below.
Answers
Answer:
Step-by-step explanation:
pls show work will give brainliest
Solve the formula for the variable x.
y=mx+b
Answers
0=pi/4 radians identify the terminal point and tan 0.
a. terminal point (2square/2,2square/2); tan0=1
b.terminal point (square3/2,1/2);tan0=square3/3
c.terminal point (2square/2,square2/2);tan0=1/2
d.terminal point (1/2,3square/2);tan=3square
Answers
Answer:A
Step-by-step explanation: I did the quiz
The terminal point of the 0=pi/4 is (2/√2 and 2/√2) and the value of tan0 is 1.
What is a terminal point?The terminal point of a circle or circular path is the measure of the angle in degrees or radians over the circle, at the endpoint on the coordinate plane.
The equation for the angle is given as,
[tex]\theta=\dfrac{\pi}{4}\rm radians[/tex]
The terminal point and tan 0 has to be found out.As, the value of pi is 180 degrees. Put this value in the above expression as,
[tex]\dfrac{\pi}{4}=\dfrac{180}{4}=45^o[/tex]
Now, as the rotation of it clockwise from the x-axis in quadrant 1to get the degrees of the angle to the terminal point.
Let this is unit circle with radius 1. Therefore, from the unit circle attached below,
[tex]y=\sin(45)\times1=\dfrac{2}{\sqrt{2}}\\x=\cos(45)\times1=\dfrac{2}{\sqrt{2}}[/tex]
[tex]\tan (45)=1[/tex]
Hence, the terminal point of the 0=pi/4 is (2/√2 and 2/√2) and the value of tan0 is 1.
Learn more about the terminal point here;
https://brainly.com/question/4256586