Answers
Firstly, It says that the two triangles are similar .
The scale factor is 2 as 12 / 6 = 2
25 + 85 = 110
180 - 110 = 70.
70 degrees
Answer:
A: 70
Step-by-step explanation:
Step One: This problem is tricky because it makes it seem more difficult than it really is. Because these angles are similar through the SAS theorem, their angles are the same. Similar means they are proportional triangles, but for this problem, the most important thing to know is that the angles of both triangles are the same. This means we can use the angles from the first triangle exactly the same way for the second triangle.
Step Two: Now that we have that out of the way, we also need to know that all angles in a triangle add up to 180 degrees.
Step Three: Ok, so we have all the information we need, so now we can solve the problem. As I've said, the angles from the first triangle are the same for the angles in the second triangle. So, we would do 85+ 25= 110.
Step Four: Lastly, we would do 180 (since all angles add up to 180)-110 to figure out the missing angle: 180-110=70 degrees.
Related Questions
In an August 2012 Gallup survey of 1,012 randomly selected U.S. adults (age 18 and over), 536 said that they were dissatisfied with the quality of education students receive in kindergarten through grade 12.
a. Test, at the 5% significance level, if this sample provides evidence that the proportion of Americans who are dissatisfied with education in kindergarten through grade 12 differs significantly from 50%.
b. Is the Test Significant? Why or Why not.
Answers
Answer:
Yes, result is significant ; PVALUE < α
Step-by-step explanation:
Given :
x = 536
n = sample size = 1012
Phat = x / n = 536 / 1012 = 0.5296 = 0.53
H0 : P0 = 0.5
H1 : P0 > 0.5
Test statistic :
(Phat - P0) ÷ sqrt[(P0(1 - P0)) / n]
1-P0 = 1 - 0.5 = 0.5
(0.53 - 0.5) ÷ sqrt[(0.5*0.5)/1012]
0.03 ÷ 0.0157173
= 1.9087
Pvalue :
Using the Pvalue from test statistic :
Pvalue = 0.02815
To test if result is significant :
α = 0.05
0.02815 < 0.05
Pvalue < α ; Hence, result is significant at α=0.05; Hence, we reject H0.
can someone actually help me :)
Answers
Answer:1 + 1
Step-by-step explanation:because 1+1 is 1+1
On Friday,
1
6
of band practice was spent trying on uniforms. The band spent
1
9
of practice on marching. The remaining practice time was spent playing music.
What fraction of practice time was spent playing music?
Answers
1-1/6-1/9=3/18
I hope it's correct:))
5.5.3 Suppose X and Y have a bivariate normal distribution with , , , , and . Determine the following. Round your answers to three decimal places (e.g. 98.765). (a) Enter your answer in accordance to the item a) of the question statement (b) Enter your answer in accordance to the item b) of the question statement (c) Enter your answer in accordance to the item c) of the question statement
Answers
The question is incomplete. The complete question is :
Suppose X and Y have a bivariate normal distribution with [tex]$\sigma_X = 0.04, \sigma_Y = 0.08, \mu_X = 3.00, \mu_Y = 7.70$[/tex] and ρ = 0.
Determine the following. Round your answers to three decimal places (e.g. 98.765).
(a). [tex]$P(2.90 < X < 3.10) =$[/tex]
(b). [tex]$P(7.60 < X < 7.80) =$[/tex]
(c). P(2.90 < X < 3.10, 9.60 < Y < 7.80) =
Solution :
We have
[tex]$X \sim N (\mu_X=3, \sigma_X^2=0.04^2)$[/tex] and
[tex]$Y \sim N (\mu_Y=7.7, \sigma_Y^2=0.08^2)$[/tex]
a). The required probability is
[tex]$P(2.90 < X < 3.10) =$[/tex] [tex]$P\left(\frac{2.9-3}{0.04}< Z < \frac{3.1-3}{0.04}\right)$[/tex]
= P(-2.5 < Z < 2.5) = P(Z < 2.5) - P(Z < -2.5)
= P(Z < 2.5) - [1-P(Z < 2.5)]
= 2P(Z < 2.5) - 1
= 2(0.99379) - 1
= 0.98758
≈ 0.988
b). The required probability is
[tex]$P(7.6 < X < 7.8) =$[/tex] [tex]$P\left(\frac{7.6-7.7}{0.08}< Z < \frac{7.8-7.7}{0.08}\right)$[/tex]
= P(-1.25 < Z < 1.25) = P(Z < 1.25) - P(Z < -1.25)
= P(Z < 1.25) - [1-P(Z < 1.25)]
= 2P(Z < 1.25) - 1
= 2(0.89435) - 1
= 0.7887
≈ 0.789
c). Since, ρ = 0, so the X and Y are independent. Thus the required probability is :
P(2.90 < X < 3.10, 9.60 < Y < 7.80) = P(2.9 < X < 3.1) x P(7.6 < Y < 7.8)
= (0.98758)(0.7887)
= 0.77890
≈ 0.779
Juan deposited $450 in an account that earned 7.5% simple interest.
- He did not make additional deposits and he didn't withdraw any money from the account.
What was the balance in Juan's investment account after 3 years?
Answers
Explanation:
1.2694*u+e+ieiei=3938383
Answer:
$551.25
Step-by-step explanation:
$450 x 7.5% = 33.75
33.75 x 3 = 101.25
101.25 + 450 = 551.25
You are cutting pieces of fabric for a craft project. You need three pieces that measure 6 2/3 inches, 4 1/2inches, and 3 5/8inches.
What is the total length of fabric that you need ?
Answers
Answer:
You need 14 19/24 inches of fabric
Step-by-step explanation:
We'll need a common denominator between 2/3, 1/2, and 5/8. 24 is the least (lowest) common denominator.
3 x 8 = 24, so we multiply the numerator and denominator by 8 and 6 2/3 becomes 6 16/24ths
2 x 12 = 24, so we multiply the numerator and denominator by 12, and 4 1/2 becomes 4 12/24
8 x 3 = 24, so we multiply the numerator and denominator by 3, and 3 5/8 becomes 3 15/24.
Now we are adding 6 16/24 + 4 12/24 + 3 15/24
6 16/24 + 4 12/24 + 3 15/24 = 6 + 4 + 3 + 16/24 + 12/24 + 15/24
= 13 + 43/24 = 14 19/24
Please lmk if you have questions.
Il means
* is equal to
* is parallel to
*lines
* therefore
* none of these
Answers
Which is the quotient of 40 divided by 3?
Answers
Please help!! I’ll give you brainliest!!
I can even Venmo someone like 5$ if they wanna do it
Answers
Answer:
1) Diverges. 2) Converges. 3) Converges. 4) Converges. 5) Diverges. 6) Diverges. 7) Converges. 8) Converges to 2.5. 9) Diverges
Step-by-step explanation:
In order to find the convergence or divergence of a geometric series, we have to focus on the absolute value of its radius
The theorem states that if [tex]|r|<1[/tex] then the series converges to [tex]\frac{a_{1} }{1-r }[/tex]
1) The radius is r = 4 which is greater than one so it Diverges.
2) The radius is [tex]r=\frac{-3}{4}[/tex] and [tex]|r|=\frac{3}{4}[/tex] which is less than 1 so it Converges.
3) The radius is 0.5 which is less than 1 so it Converges.
4) To figure out unknown radius, we divide the 2nd term from the first, in this case we have [tex]\frac{27}{81} =\frac{1}{3}[/tex] which is less than one so it Converges.
5) for this one, since the second term is bigger than the first, if we divide them, the answer would always be bigger than 1 so it Diverges.
The geometric series are given by the formula ∑[tex]C(r)^{n}[/tex] where c is a constant.
6) in this case our [tex]r = \frac{3}{2}[/tex] which is bigger than 1 so it Diverges.
7) [tex]r = \frac{-1}{4}[/tex] and [tex]|r|=\frac{1}{4}[/tex] which is less than one so it Converges.
to find the sum of a convergent geometric series, we use the formula [tex]\frac{a_{1} }{1-r}[/tex]
8) plug in given information
[tex]a_{1} = 3\\r = \frac{-1}{5}\\\\=\frac{3}{1-(-\frac{1}{5}) }\\= \frac{3}{1+\frac{1}{5} }\\= 2.5[/tex]
9) since [tex]r = -3[/tex] and [tex]|r|=3[/tex], r is greater than 1 and it Diverges.
Hopefully the work I did was right. Have a good one!
Une cuisinière sait qu'il faut 2 h 15 min pour que sa dinde soit cuite. A quelle heure devra-t-elle
l'enfourner si on veut la manger à 13 h 10 ?
Answers
Answer:
10 h 55 min
Step-by-step explanation:
13 h 10 - 2h = 11 h 10
11 h 10 - 15 min = 10 h 55 min
Find the surface area of WILL GIVE BRAINLIEST FOR THE FIRST TO ANDWER CORRECTLY
the pyramid. Round to the nearest tenth if necessary
12.2 m
16 m
10.6 in.
12.2 m
12.2 m
Answers
Surface Area:
(12.2 x 0.27 x 1/2) + (16 x 12.2 x 1/2 x 3)
= 1.647 + 292.8
= 294.447
= 294.4 (nearest tenth)
Select the measures that are equal. Select all that apply.pls help me i beg you
Answers
(x +y )(x -y), if x = -3, y=-5
PLS NO FILES OR I AM REPORTING YOU
Answers
Answer:
-16
Step-by-step explanation:
(X + Y)
= (-3 + -5)
= -8
(X - Y)
= (-3 - -5)
= 2
Because they're still in brackets in this form:
(-8) (2)
You multiply them both and you'll get the answer:
-16
hope this helped!
Perform the indicated operation and write the answer in the form a + bi.
(9+ i)(-6+5i)
Answers
Answer:
-59 + 39i
Step-by-step explanation:
Apply the Distributive Property of Multiplication:
(9)(-6) + (9)(5 i) - 6i - 5 (recall that i^2 = -1)
or:
-54 + 45i - 6i - 5, or
-59 + 39i
What is the volume of a cylinder with base radius 2 and height 5?
Either enter an exact answer in terms of 3.14 for pi
Answers
Answer:
V ≈ 62.83
Step-by-step explanation:
Cylinder Formulas in terms of r and h
Calculate the volume of a cylinder:
V = πr2h
Calculate the lateral surface area of a cylinder (just the curved outside):
L = 2πrh
Calculate the top and bottom surface area of a cylinder (2 circles):
T = B = πr2
Total surface area of a closed cylinder is:
A = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)
Solution
V=πr 2h = π · 22 · 5 ≈ 62.83185
Therefore, the volume of the cylinder in the nearest tenths is V ≈ 62.83
Answer now please ♀️
Answers
Answer:
8/15
Step-by-step explanation:
In a right triangle, where B is an acute angle, the tan B is equal to the measure of the side opposite B divided by the measure of the shorter side at B
tanB = 16/30 = 8/15
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answers
Answer: all of dem except for 6
Step-by-step explanation:
consider the line (d) with equation y = –2x+6
determine the coordinates of B, the intersection point of (d) andy'Oy.
Answers
Answer:
i dont know sry need points sry
Step-by-step explanation:
Please can someone help me thank you
Answers
Answer:
(a) Rome= 11 degrees
Munich= 5 degrees
Difference = 11-5 = 6 degrees
(b)
Oslo= 2 degrees
At 6pm= 2+5= 7 degrees
Which of the following letters is NOT line symmetric?
1. A
2. E
3. G
4. Y
Answers
Answer:
G
Step-by-step explanation:
Answer:
its G
Step-by-step explanation:
Suppose that the height (in centimeters) of a candle is a linear function and the amount of time (in hours) it has been burning. After 9 hours of buring, a candle has a hight of 22.2 centimeters. After 23 hours of burning, it's heigh is 16.8 centimeters. What is the height of candle after 19 hour
Answers
Answer: cockme
Step-by-step explanation:
cockme
In Joe's fish tank, there are 7 goldfish and 12 snails. How does the ratio 12:19 describe Joe's fish tank?
Answers
Answer:
honestly this was the only thing i was ever good at in math.
its kinda fun cuz its like puzzle solving.
Answer:
The ratio represents they are 12 snails for every 19 sea creatures in Joe's tank.
Step-by-step explanation:
In total, there are 19 sea creatures in the tank. And since there are 12 snails in the tank, the ratio represents that there are 12 snails for every 19 sea creatures in Joe's tank.
Please like and mark brainliest!
Hope it helps!
Solve each equation by completing the square :
Answers
(c) Write down the reciprocal of 20
Answers
Answer:
1/20
Step-by-step explanation:
The reciprocal just means that you flip the numerator & denominator. Any whole number always has a denominator of 1, so you just flip it to 1/20. Hope this helps!
In order to find the reciprocal of a number, we should flop it over.
Kindly consider the formula for additional details:-
[tex]\sf{The~reciprocal~of~a~is~\displaystyle\frac{1}{a}}[/tex]
According to the formula, the reciprocal of 20 is:-
[tex]\sf{The~reciprocal~of~20~is~\frac{1}{20}}[/tex]
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
Billy ate 30% of a pizza and Bonnie ate 3/8 of a pizza who ate more
Answers
Hope this helps!
PLS HELP!
2x + 4 > 8
Answers
2x 4 =- 8
2 x + 4 = 8 2x+4=8 2x+4=8. Subtract 4 from both sides. Simplify 8 − 4 8-4 8−4 to 4. Divide both sides by 2.
PLEASE HELP!!! ILL GIVE BRAINLIEST !! Which is the correct answer ? 100 POINTS !! EXPLAIN.
Answers
explanation : as u can see the 2 and 8 are outside of the lines making it exterior, they are also alternate because one is on the outside of the left and one is outside of the right making it an alternate exterior angel
How many cubes with side lengths of 1/4 cm does it take to fill the prism?
Answers
Answer:2 14
Step-by-step explanation:
9514 1404 393
Answer:
135
Step-by-step explanation:
The prism is 9/4 cm = 9×(1/4 cm) = 9 cubes wide.
The prism is 3/4 cm = 3×(1/4 cm) = 3 cubes deep.
The prism is 5/4 cm = 5×(1/4 cm) = 5 cubes high.
The number of cubes that will fill the prism is ...
9 × 3 × 5 = 135 . . . cubes to fill the prism
Help with number 2 please find the missing length
Answers
d^2= 3^2 + 5^2
d^2= 34
d = +/- square root of 34 = +/- 5,8
Which of the following is equal to 5 1/3
Answers
Answer:
C
Step-by-step explanation:
The 3 would go on the outside.