Answer:
Option (2)
Step-by-step explanation:
Given:
AC is an angle bisector of ∠DAB and ∠DAB
m∠BCA ≅ m∠DCA
m∠BAC ≅ m∠DAC
To Prove:
ΔABC ≅ ΔADC
Solution:
Statements Reasons
1). m∠BCA ≅ m∠DCA 1). Given
2). m∠BAC ≅ m∠DAC 2). Given
3). AC ≅ AC 3). Reflexive property
4). ΔABC ≅ ΔADC 4). ASA property of congruence
Therefore, Option (2) will be the correct option.
12 The sixth grade at Johnson Middle School set a goal to raise $8,000 for their end-of -the-year field trip to Washington DC. September December March $10,000 $10,000 $9,000 $9,000 $8,000 Goal $7,000 $10,000 $9,000 $8,000 Goal $8,000 Goal $7,000 $7,000 $6,000 $5,000 $6,000 $5,000 $4,000 $3,000 $2,000 $1,000 $6,000 $5,000 $4,000 $4,000 $3,000 $3,000 $2,000 $1,000 $2,000 $1,000 60 Grade Grade 6 Grade (a) On the first day of school, Bethany's family donated $60 to the field trip fundraiser. What percent of their total goal did Bethany's family donate? F 0.75% G 75% H 2.5% J 0.25%
Answer:
0.75%
Step-by-step explanation:
Total amount to generate at fundraiser = $8000
Amount donated by Bethany family = $60
The percentage of Bethany's donation towards the fundraiser is :
Let percentage = x
x% of 8000 = 60
x/100 * 8000 = 60
0.01x * 8000 = 60
80x = 60
Divide both sides by des by 80
80x / 80 = 60 / 80
x = 0.75
The sum of the interior angles of a triangle is _______. 90° 180° 270° 360°
Answer:
180
Step-by-step explanation:
Suppose you have a population in which 60% of the people approve of gambling. Is the value 0.60 a parameter or a statistic
Answer:0.60 is a parameter .
Step-by-step explanation:
In statistics, a parameter is a number that summarize the data for a whole population.
On the other hand , statistic gives a measure for sample of population.
Given: We have a population in which 60% of the people approve of gambling.
60% = 0.60
Since it is a measure for the population , it is denoted as population parameter.
Hence, 0.60 is a parameter not statistic.
WILL GIVE BRAINIEST AND 100 POINTS TO CORRECT ANSWER
A parallelogram is shown below:
Part A: What is the area of the parallelogram? Show your work. (5 points)
Part B: How can you decompose this parallelogram into two triangles? If this parallelogram was decomposed into two triangles, what would be the area of each triangle? (5 points)
Answer: part a: area = bh part b: split it on its diagonals
Step-by-step explanation:
Pls help on #10 will give brainliest
(50 POINTS) (PLEASE ANSWER THE QUESTION, NOT JUST TRY AND TAKE MY POINTS, I NEED HELP ON THIS SO DO NOT ANSWER IF YOU DO NOT KNOW OR ARE JUST TRYING TO TAKE MY POINTS)
Is there a proportional relationship between number of sandwiches and the cost of the order? Explain how you know.
(The picture shows what the relationship is now all I need to find is if it’s proportional or not, and why. Can you help me please? It’s homework, and it’s due in 5 minutes.)
Answer:
No, there is no proportional relationshipStep-by-step explanation:
The proportional relationship is:
y = kx, which is a special form of linear equation, with zero y-interceptIn the given case we have:
y = 4.5x + 10This is a linear function but not proportional relationship because it has y-intercept, different than zero
Please help I’m stuck on this...30 points for the best answer pls hurry and help
Answer:
it is A, the first one
Step-by-step explanation:
bc +6 and then -10 it ends up on -4
An experiment was conducted as a one-way factorial design with K sample means, each based on n scores. What is the number of degrees of freedom for the between mean squares
Answer:
The mean squares has d.f (n-1)
Step-by-step explanation:
The total number of degrees of freedom is n-1 as there is only one restriction of computing the grand mean. The d.f for k samples is k-1 beacuase the mean of the sample means must equal the grand mean. Similarly , the d.f for within SS is n-k , due to the k restrictions of computing the k sample means. Hence we find that
Total df= Within df + Between df
n-1= (n-k)+(k-1)
Between SS has (k-1) d.f
Within SS has (n-k) d.f
These two quantities are known as mean squares and has d.f (n-1)
This is marked as wrong? Can anyone please correct my mistake?
Answer:
y - 0 = -⅔(x - 3)
Step-by-step explanation:
Given a point, (a, b) and slope, m, equation of the line in point-slope form can be written.
Thus:
Substitute (a b) = (3, 0), and m = -⅔ into y - b = m(x - a).
y - 0 = -⅔(x - 3) (the equation in point-slope form)
Given: wzx and yzx are right triangles, wx = yx. Prove wxz ~= yx .....plz answer will give brainlyest!!
Answer:
The answer is below
Step-by-step explanation:
From the question,
Statement Reason
ΔWZX and ΔYZX are Given
right angled triangles
WX = YX Given
XZ ≅ XZ Reflexive property. The reflexive
property of congruence states that
any shape is congruent to itself.
∠XZW = ∠XZY Definition of right angle.
∠XWZ = ∠XYZ Definition of isosceles triangle.
Triangle XYW forms a right angled
triangle since YX = WX
∠XWZ + ∠WXZ + ∠XZW = 180° Sum of angles in triangle WZX
∠XZY + ∠XYZ + ∠YXZ = 180° Sum of angles in triangle YZX
∠XWZ + ∠WXZ + ∠XZW = Substitution
∠XZY + ∠XYZ + ∠YXZ
∠XYZ + ∠WXZ + ∠XZY = Substitution
∠XZY + ∠XYZ + ∠YXZ
∠WXZ = ∠YXZ Simplification
Answer the question above
Answer:
[tex]tan\:\left(\frac{5\pi }{6}\right)=tan\left(-\frac{\pi }{6}\right)[/tex]
Option A is correct.
Step-by-step explanation:
We need to find equivalent of [tex]tan\:\left(\frac{5\pi }{6}\right)[/tex]
First we solve [tex]tan\:\left(\frac{5\pi }{6}\right)[/tex]
We get [tex]-\frac{1}{\sqrt{3} }[/tex]
Now checking all the options.
Option A: [tex]tan\:(-\frac{\pi}{6} )[/tex]
Solving [tex]tan\left(-\frac{\pi }{6}\right)\: we\: get\: \mathbf{ -\frac{1}{\sqrt{3} }}[/tex]
Option B: [tex]tan\left(\frac{7\pi }{6}\right)[/tex]
Solving [tex]tan\left(\frac{7\pi }{6}\right)\: we\: get\: \mathbf{\frac{1}{\sqrt{3} }}[/tex]
Option C: [tex]cot\left(\frac{5\pi }{6}\right)[/tex]
Solving [tex]cot\left(\frac{5\pi }{6}\right)\:we\:get\:\mathbf{-\sqrt{3} }[/tex]
Option D : [tex]tan\left(-\frac{5\pi }{6}\right)[/tex]
Solving [tex]tan\left(-\frac{5\pi }{6}\right) \:we\:get:\mathbf{\frac{1}{\sqrt{3} } }[/tex]
So, looking at the options, only Option A has the same result as given question
So, [tex]tan\:\left(\frac{5\pi }{6}\right)=tan\left(-\frac{\pi }{6}\right)[/tex]
Option A is correct.
solve the question below
Answer:
The answer is below
Step-by-step explanation:
1) A triangle is a polygon with three sides and three angles. There are different types of triangles such as obtuse, scalene, right angle, equilateral and isosceles triangle.
Given that triangle ABC is right angled and AC = 25 cm = hypotenuse and BC = 15 cm. Using Pythagoras:
AC² = BC² + AB²
25² = AB² + 15²
AB² = 25² - 15²
AB² = 400
AB = √400
AB = 20 cm
Using sine rule:
[tex]\frac{sin(B)}{AC}=\frac{sin(A)}{BC}=\frac{sin(C)}{AB}\\\\But\ \angle B= 90^o(right\ angle)\ hence:\\\\ \frac{sin(B)}{AC}=\frac{sin(A)}{BC}\\\\\frac{sin(90)}{25}=\frac{sin(A)}{15}\\\\sin(A)=\frac{sin(90)}{25}*15\\\\sin(A)=0.6\\\\A=sin^{-1}(0.6)\\\\A=36.87^o[/tex]
2)
Using Pythagoras:
hypotenuse² = 8² + 6²
hypotenuse² = 100
hypotenuse = √100
hypotenuse = 10
Using sine rule:
[tex]\frac{sin(x)}{8}=\frac{sin(90)}{10}\\\\sin(x)=\frac{sin(90)}{10}*8\\\\sin(x)=0.8\\\\x=sin^{-1}(0.8)\\\\x=53.13 ^o[/tex]
The polygons are similar. Solve for x.
scale factor from A to B = 3:5
Answer:
9
Step-by-step explanation:
if scale factor is 3/5, then
(x+12):35=3:5, ⇒
[tex]\frac{x+12}{35} =\frac{3}{5}; x=21-12; x=9[/tex]
HURRY PLEASE!!! IM BEING TIMED. I WILL GIVE YOU BRAINLIEST!
Answer:
Josh charges $5 more than Lindsay
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
lindsay's equation is y=6x+15.
you compare the first row and second row to find the cost per dog and then subtract from the total to find the initial cost.
1. If you make 8 1/5 cookies in 1/4 of an hour, how many cookies can you make in one hour? Find
the unit rate.
Answer:
32.8
Step-by-step explanation:
you divide 8 1/5 by 1/4 to find the unit rate.
Please any help with steps
Answer:
C
Step-by-step explanation:
1 inch=400 miles
x =200 miles
200 is half of 400, so the measurement should be halved as well.
A triangle has a base of 16" in height of 1/8 inch what is the area?
Answer:
Area of triangle is 1 inches²
Step-by-step explanation:
We are given:
Base of triangle = 16 inches
Height of triangle = [tex]\frac{1}{8} \:[/tex] inches
We need to find:
Area of triangle
The formula used to find Area of triangle is:
[tex]Area \:of\: triangle=\frac{1}{2}\times b \times h[/tex]
where b is base and h is height.
Putting values and finding area:
[tex]Area \:of\: triangle=\frac{1}{2}\times 16 \times \frac{1}{8}\\ Area \:of\: triangle=\frac{16}{16}\\ Area \:of\: triangle=1\:inches^2[/tex]
So, Area of triangle is 1 inches²
1.6[7-4m]=30
2.[5+6a]-3=8
Answer:
(a,m=(-1499/1812, 1/2)
Step-by-step explanation:
hope this helps!
The point (-6, 5) was translated right 4 and down 6. What are the coordinates of the new
point?
O (10,11)
O (-2,1)
O (-2,-1)
O
(-10, 11)
Calculate the quotient. Use paper to show all calculations. Enter your answer in the box below.
6/7 divided by 7 1/2
Answer:
4/35
Step-by-step explanation:
1. Find 7 1/2
15/2
2. Flip 15/2
2/15
3. Multiply
12/105
4. Simplify
4/35
Translate and solve: 58% of what number is 145?
Answer:
58% of 250 is 145.
Step-by-step explanation:
145 * 100/58
= 250
Answer:
250
Step-by-step explanation:
PLEASE HELP !!! i need to know the surface area
Answer:
244 ft²
Step-by-step explanation:
Rectangle Base Area: 6•4=24
Rectangle Side Area: 8•10=80; 80•2(sides) = 160
Triangle Sides Area: (10•6=60); 60/2(area of triangle) = 30; 30•2(sides)=60*
*Technically can skip the divide by two and then multiply by two, since they cancel out*
(Area of Triangle Formula= 1/2bh)
Add areas together: 24+160+60= 244 ft²
(4x)° (5x+18)° 81° solve for x
Answer: If you see my picture and you will see my answer
Step-by-step explanation: Hope this help
Write the equation of the line in slope-intercept form.
Answer: y=-3/4x
Step-by-step explanation:
The slope intercept form is when you use the equation y=mx+b (m is the slope and b is the y-intercept). First, let's find the y intercept. The y intercept is what y would be if x is 0. here, you can see that this particular line passes through the origin. So, the y-intercept is zero because when x passes through zero, y is also zero. Next, let's find the slope. The formula for slope is change in y/change in x. Let's randomly choose 2 points off this line. To make this a thousand times easier for us, let's choose the points (-4, 3) and (4, -3). Now, to find the change in y, let's find the difference between the 2 y coordinates we have chosen. To do this we just need to do -3-3, which gives us -6. Now let's find the change in x. To do this we will do the same thing we did to find the change in y but this time we'll use the x coordinates. We will do 4-(-4), which simplifies to 8. Now, we're almost done. Just divide the change in y by the change in x. You will get -6/8. This can be simplified to -3/4. So now we know our slope is -3/4 and our y-intercept is 0. Let's insert them into the equation. y=-3/4x+0. We know that we can just get rid of that 0 because 0 literally means nothing. So our final answer is y=-3/4x. Hope this helps!
Find x.
20 cm
12 cm
Х
X =
cm
Help please......................
Answer:
6 1/2
Step-by-step explanation:
4 1/2+2 1/2
= 9/2+5/2
=14/2
=7
Hope This Helps, BadAtMath99
What is the inverse of the function f(x) = 4x + 8?
Answer:
h(x) = (1/4)x - 2 which is choice A
Step-by-step explanation:
Replace f(x) with y. Then swap x and y. Lastly, solve for y to get the inverse.
f(x) = 4x+8
y = 4x+8
x = 4y+8
x-8 = 4y
4y = x-8
y = (x-8)/4
y = x/4 - 8/4
y = (1/4)x - 2
h(x) = (1/4)x - 2
. log 3x4
Expand each expression
Answer:
12
Step-by-step explanation:
because 3x4 is 12
Jada has a coin jar containing n nickels and d dimes worth a total of $3.65. The
equation 0.05n + 0.1d = 3.65 is one way to represent this situation.
Which equation is equivalent to the equation 0.05n +0.1d = 3.657
Answer:5n+10d=365.7 pennies
Step-by-step explanation:
(-7/10)=?/10 change to higher terms please help !!
Answer:
-7
Step-by-step explanation:
you cant change the numerator if you cant change the denominator