Answer:
Are the triangles similar?
1) Both triangles are congruent by SAS ( Side Angle Side ) Postulate
2) SAS Postulate
3) congruent by ASA Postulate
4) SSS Postulate
5) congruent by AAS Postulate
6) SAS Postulate
Isosceles and Equilateral Triangles
1) by isosceles something triangle theorem
if two angles of opposite sides are congruent the sides opposite of those are congruent.
4x-12=20
x=8
2) Triangle Sum Theorem - all angles add up to 180.
with Isosceles triangle theorem.
x= 70 degrees
y= 40 degrees
3) 2x-14 = x+17 ( I think )
x=34
4) The picture is cut out.
Step-by-step explanation:
There were 3 full pizzas sitting on a counter. If Joe ate ¼ of a pie, Rhonda ate ⅜ of a pie, and Chris ate 4 slices, how many slices of pizza were left? (Assume each pie is cut into 8 slices.)
Answer:
15 slices
Step-by-step explanation:
Joe ate 2 slices (1/4 = 2/8), Rhoda ate 3 (3/8), Chris ate 4.
2+3+4= 9.
there are 3 pizzas divided into 8 slices per pizza.
3 x 8 = 24 ; 24 slices total
subtract 9 (that’s what was consumed) from 24.
24-9 = 15
I hope it helps.
Identify the number that does not belong with the other three. Explain your reasoning. negative 10 over 2, negative 13.4, square root 18, 22.7 repeating 7
The figure below shows a circular fountain in a park with a garden to be planted with flowers. The parks department wants to plant groups of 2 flowers in the garden per square foot. Garden 3 feet 18 feet Fountain Which is closest to the number of flowers needed to plant in the garden?
A 71 flowers
B. 141 flowers
C 156 flowers
D 255 flowers
E 284 flowers
Answer: The answer is 284.
Step-by-step explanation:
The area of the garden is an annulus whose,
Outer diameter = 18 ft
Inner diameter = 18 ft - 2*3ft = 12 ft
Therefore,
Outer radius = 18/2 = 9 ft
Inner radius = 12/2 = 6 ft
Area of garden = Area of annulus
Area of garden = π*(9 ft)2 - π * (6 ft)2
Area of garden = 142
Given:
2 flowers are planted per square foot.
Therefore for 142 ft2,
Number of flowers required = 2*142 = 284
The answer is 284.
3.find the measure of each missing angle
Answer:
Angle 1= 69
Angle 2= 37
Angle 3= 106
Angle 4= 21
Step-by-step explanation:
(Angle 2) The box in the corner is a 90-degree angle. So, 90-53=37
(Angle 1) Now that you have angle 2, add 37+74. You get 111. Subtract 180 and 111.
The answer for angle one is 69.
(Angle 3) Since it is a line, the two angles combined are 180 degrees. 180-74= 106.
(Angle 4) Now that you have angle 3, add 106 and 53. You will get 159. 180-159= 21
Solve the following quadratic function by utilizing the square root method. y = x2 - 64
Answer:
[tex]x=\pm\sqrt{y+64}[/tex]
Step-by-step explanation:
All you need to do is isolate the x.
First, add 64 to both sides:
[tex]y=x^2-64\\x^2-64+64=y+64\\x^2=y+64[/tex]
Then, take the square root of both sides:
[tex]\sqrt{x^2}=\sqrt{y+64}\\x=\sqrt{y+64[/tex]
Actually, that is:
[tex]x=\pm\sqrt{y+64}[/tex]
Here's the reason for that. An example would be:
[tex]x^2=4[/tex]
Here, you'd take the square root of both sides to solve for x.
[tex]\sqrt{x^2}=\sqrt{4}\\x=2[/tex]
Right? But X could also be a -2, because a negative times a negative is a positive.
[tex](-2)^2=4\\-2\times-2=4\\4=4[/tex]
Therefore, [tex]x=2, -2[/tex] or [tex]x=\pm2[/tex]
[tex]x^2=2\times2=4\\x^2=-2\times-2=4[/tex]
Based on information from Consumer Reports, a random sample of 35 thirty-gram cookies had a sample mean of 146 calories. The standard deviation is know to be σ = 12. Find a 90% confidence interval for mean calories in a 30-gram serving of all chocolate chip cookies. Round the numbers in your interval to the nearest whole number.
Using the z-distribution, it is found that the 90% confidence interval for mean calories in a 30-gram serving of all chocolate chip cookies is (143, 149).
We are given the standard deviation for the population, which is why the z-distribution is used to solve this question.
The information given is:
Sample mean of [tex]\overline{x} = 146[/tex]. Population standard deviation of [tex]\sigma = 12[/tex]. Sample size of [tex]n = 65[/tex].The confidence interval is:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
The critical value, using a z-distribution calculator, for a 95% confidence interval is z = 1.645, hence:
[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 146 - 1.645\frac{12}{\sqrt{35}} = 143[/tex]
[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 146 + 1.645\frac{12}{\sqrt{35}} = 149[/tex]
The 90% confidence interval for mean calories in a 30-gram serving of all chocolate chip cookies is (143, 149).
A similar problem is given at https://brainly.com/question/16807970
Write an equation for the line in slope intercept form
Answer:
y=4x+2
Step-by-step explanation:
Like and give 5 star rating
can you help me find the slope of the line?
Answer:
0
Step-by-step explanation:
slope formula of a line is as follows:
m = Y2 - Y1/ X2 -X1
and so we'll now plot the given points.
note - the 1st values inside the brackets are that of the x values and the ones that come next are the y values of the given line.
now granted, we'll calculate the change of y and then divide it by the change of x
which is simply -5-(-5)/5-(-2) = 0.
B. Complete the missing factors of the following polynomials.
5. 6a2 + 11b – 35b2 = ( 3a ______ )( 2a ________ )
6. 18x2 – 39x + 20 = ( 3x – 4 ) ( ___________ )
CAN SOMEONE HELP ME, PLEASE.
If angle pqr is isosceles, what is the measure of angle Q?
The angles opposite to equal sides in the isosceles triangle will be the same thus the measure of angle Q will be 68°.
What is a triangle?A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.
In a triangle, the sum of all three angles is 180°
Triangle is a very common figure to deal with our daily life for example in our daily life to measure the height of any tower then there is a huge application of the right angle triangle.
As per the given isosceles triangle.
The angles opposite to equal sides in the isosceles triangle will be the same.
Thus, m∠P -= m∠Q
5x + 8 = 9x - 40
9x - 5x = 8 + 40
4x = 48
x = 12°
Thus, m∠Q = 9(12) - 40 = 68°.
Hence "The angles opposite to equal sides in the isosceles triangle will be the same thus the measure of angle Q will be 68°".
For more information about triangles,
https://brainly.com/question/2773823
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Which of the following has 104.0032 in written form?
A. one hundred four thirty-two ten-thousandths
B. one hundred four and thirty-two ten-thousandths
C. one hundred four and thirty-two thousandths
D. one hundred four and thirty hundredths two ten-thousandths
One hundred and four point zero zero three two.
- BRAINLIEST answerer
Answer:
C.one hundred four and thirty two thousandth
Need help plotting x and y intercept heres a better explanation of what I need to do
Pick any number. If that number is even, divide it by 2. If it's odd, multiply it by 3 and add 1. Now repeat the process with your new number. If you keep going, you'll eventually end up at 1. Every time.
brian says that 8n+2=82 when n=1 explain why he is incorrect
f(x)=3x+5 and g(x)=2x+1
value of x
You can treat x and 2x+1 just as though they are real numbers.
So f(2x+1) = 3(2x+1) - 5 = 6x + 3 - 5 = 6x - 2
In the above, I made use of something called the distributive law which says that if a,b and c are real numbers, then a(b+c) = ab + ac.
I need help plz help me I am not good at math HELP
Answer:
600 boys
800 girls
Step-by-step explanation:
Ratio is 3:4
let total number of boys be x
3/4=x/1400-x
4x=3(1400-x)
4x=4200-3x
7x=4200
x=600
600 boys
1400-600 = 800 girls
Write an equation in
Slope - int form with the
given information
m=2, (3, 4)
Answer:
y=2x-2
Step-by-step explanation:
apply point
4=2(3)+n
4=6+n
n=-2
y=2x-2
Kaitlin,Tony y David tienen un total de 77 en sus bolsillos. Tony tiene $7 menos que Kaitlin. David tiene 2 veces lo que Kaitlin tine¿cuanto dinero tiene cada uno?
Answer: Tony has 70
kaitlin has 77 david has 79
Step-by-step explanation:
i hope this helped im not sure if this is right i tried to do the math but pls leave a thanks if helped
100-3x6+5-4= 63? help me its GEMDAS
Answer:
it's 86
Step-by-step explanation:
100-3x6+5-4
100-15+5-4
85+5-4
90-4
86
someone please help me
Answer:
FOURTH ONE DOWN
Step-by-step explanation:
Basically the the format is (vertical / horizontal), so CB and AD are both gonna be denominators (the bottom of the fraction).
** also next time please take a better picture i had to squint my eyes so hard **
Find the value of the question mark
Need help answering this question for 30 points. ! :)
Answer:
g(- 1) = -2
Step-by-step explanation:
Given the rational function, [tex]g(x) = - \frac{21 + x}{10}[/tex]:
In order to evaluate and find the value of g(-1), simply substitute the input value into the given function.
[tex]g(x) = - \frac{21 + x}{10}[/tex]
[tex]g(-1) = - \frac{21 - 1}{10}[/tex]
[tex]g(-1) = - \frac{20}{10}[/tex]
g(-1) = -2
Therefore, the output value when g(- 1) is: g(- 1) = -2.
Find the equation of the line
Answer:
6,0 10,4
Step-by-step explanation:
find the y Axis and then the x Axis
During winter vacation the 5 member of the scott family went on vacation to a ski resort. They drove 336 miles in 7 hours. What was their averge speed?
Answer:
48 miles/hour
Step-by-step explanation:
(336 miles)/(7 hours) = 48 miles/hour
Answer:
the average speed is 336 devided by 7 then you get the answer
2. The width of a rectangle is 8 more inches than the length. The perimeter is 56 inches.
Find the length and the width.
Answer:
length=10inches
width=18inches
Step-by-step explanation:
length=x
width=x+8
perimeter=2l+2b
56=2x+2(x+8)
56=2x+2x+16
56-16=4x
4x=40
x=40/4
x=10
The school is 3.65 miles from Tonya house and 1.28 miles from Jamals house. How can you use a quick picture to solve this problem.
Answer:
more info so i can help
Step-by-step explanation:
please
Yvonne sells Nine West shoes. She earns 4% commission on all her sales. Yesterday she sold
$1500 worth of shoes. How much commission did she earn?
(2 marks)
Answer:
$60
Step-by-step explanation:
4/100= 0.04
$1500 x 0.04 = 60
helpppppppppppppppppppppppppppp
What do you need help with? Are you in danger?
ΔABC is an equilateral triangle with AD perpendicular to BC. Prove that ΔADB ≅ ΔADC.
Step-by-step explanation:
An equilateral triangle means all sides are congruent.
AB≅BC≅AC
All angles are also congruent.
∠ABC≅∠BCA≅∠CAB
AD being perpendicular makes it a bisector of both BC and ∠CAB.
BD≅CD
∠BAD≅∠CAD
Now, there are multiple ways to prove that ΔADB≅ΔADC. All 3 sides and all 3 angles of both triangles are congruent, so you could do it however you want.
1) ASA (one of the possible ASA combinations)
∠ABD ≅ ∠ACD because this is an equilateral triangleBD ≅ CD because AD bisects BC∠BDA ≅ ∠CDA because AD is perpendicular to BC, both 90°2) HL (again, one of the multiple possible HL combinations)
AD is perpendicular to BC, creating 2 right trianglesAB ≅ AC because ΔABC is equilateralAD ≅ DA by the reflexive property, it is congruent to itselfThere are many more but I won't write them all out.
I HAVE 4 MINS TILL THIS IS DUE PLEASE FOR THE LOVE OF GOD HELP ME
Answer:
Answer is graph A
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks