Answer:
Angle B is congruent to Angle E.
Step-by-step explanation:
Also, if youve read Romeo and Juliet, please help me! My essay is due tomorrow. I just need informal help, no specific lines or anything
In the diagram below, ΔABC ≅ ΔDEF. Therefore, by CPCT, ∠B = ∠E.
What is CPCT?
Corresponding parts of congruent triangles or CPCT is used to denote the relation between the sides and the angles of two congruent triangles.
Since, ΔABC ≅ ΔDEF,
AB = DE
BC = EF
AC = DF
∠A = ∠D
∠B = ∠E
∠C = ∠F
Learn more about CPCT here
https://brainly.com/question/21360865
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8 out of every 14 children in a school are boys. What is the ratio of boys to girls in the school?
Answer:
8:6
Step-by-step explanation:
If 8 out of 14 students are boys then the remaining number of students must be girls
So
14-8= 6
There are 6 girls out of the 14
So as a ratio of boys to girls
8:6
Answer:
8 : 6 <or> 4 : 3
Step-by-step explanation:
8 : 6 <or> 4 : 3
Since there are 8 boys out of 14, if you minus them , the answer will be the number of girls out of 14.
Find the 25th term of the sequence -7,-22,-37.
Answer:
a₂₅ = - 367
Step-by-step explanation:
There is a common difference d between consecutive terms, that is
d = - 22 - (- 7) = - 37 - (- 22) = - 15
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 7 and d = - 15 , then
a₂₅ = - 7 + (24 × - 15) = - 7 - 360 = - 367
write the expression in expanded form
3h^3(k+3)^2
Answer:
3h³k² + 18h³k + 27h³
Step-by-step explanation:
Given
3h³(k + 3)² ← expand factor using FOIL
= 3h³(k² + 6k + 9) ← distribute parenthesis
= 3h³k² + 18h³k + 27h³
The probability of spinning an odd number, flipping heads and then spinning a 3 is?
===================================================
Work Shown:
A = probability of landing on an odd number
A = 5/9 because there are 5 odd numbers out of 9 total
B = probability of getting heads
B = 1/2
C = landing on 3 on the spinner
C = 1/9
Multiply the values of A,B,C
A*B*C = (5/9)*(1/2)*(1/9) = (5*1*1)/(9*2*9) = 5/162
Note: The fraction 5/162 converts to the approximate decimal 0.03086 which then converts to 3.086%, when rounding to the nearest tenth of a percent we get 3.1%
What is the value of c?
30°
с
Answer:
c = 60°
Step-by-step explanation:
Since the measures are among a 90° angle, we need to subtract 30° from 90° which equals 60°
c = 60°
Factorize the following 3x + 12
Answer:
if this was a equation you would first subtract 12 from the other number then divide it by 3
Answer:
3(x+4)
Step-by-step explanation:
Check 3(x+4), when you use the distributive property, you get 3x + 12, so this is correct. (sorry, I'm really bad at explaining...)
a right triangle has legs of lengths 7 and 2, what is the length of the hypotenuse to the nearest tenth
Answer:
hypotenuse = 7.3
Step-by-step explanation:
here 7 and 2 are the legs og the right triangle .we should find hypotenuse.
let the legs of the right triangle be a nd b respectively . And c be hypotenuse
using pythagoras theorem to find hypotenuse
a^2 + b^2 = c^2
7^2 + 2^2 = c^2
49 + 4 = c^2
53 = c^2
[tex]\sqrt{53}[/tex] = c
7.28 = c
7.3 =c
Answer:
7.3
Step-by-step explanation:
[tex]7^{2} + 2^{2} = x^{2} \\ 53 = x^{2}\\\sqrt{53} = \sqrt{x^{2}} \\x = 7.3[/tex]
Given csc(A) = 60/16 and that angle A is in Quadrant I, find the exact value of sec A in simplest radical form using a rational denominator . Someone please help me!
Answer:
[tex] \frac{15 \sqrt{209} }{209} [/tex]
Step-by-step explanation:
Objective: Understand and work with trig identies.
Recall multiple trig identies and manipulate them to get from cosecant to secant.
Given
[tex] \csc(a) = \frac{60}{16} [/tex]
Apply reciprocal identity csc a = 1/sin a.
[tex] \sin(a) = \frac{16}{60} [/tex]
Apply pythagorean identity to find cos a.
[tex]( \frac{16}{60}) {}^{2} + \cos(x) {}^{2} = 1[/tex]
[tex] \frac{256}{3600} + \cos(x) {}^{2} = 1[/tex]
[tex] \cos(x) {}^{2} = \frac{3600}{3600} - \frac{256}{3600} [/tex]
We can simplify both expression
[tex] \cos(x) {}^{2} = \frac{225}{225} - \frac{16}{225} [/tex]
[tex] \cos(x) = \frac{ \sqrt{209} }{15} [/tex]
Cosine is positve on quadrant 1 so that cos(a)
Apply reciprocal identity sec a= 1/ cos a.
The answer is
[tex] \sec(a) = \frac{15}{ \sqrt{209} } [/tex]
Rationalize the denominator.
[tex] \frac{15}{ \sqrt{209} } \times \frac{ \sqrt{209} }{ \sqrt{209} } = \frac{15 \sqrt{209} }{209} [/tex]
please help me oh my lord
Answer:
A
Step-by-step explanation:
PLEASE HELP!! This is timed, but I don't recall ever learning this info T-T
I'll mark brainliest!!
Answer:
c
Step-by-step explanation:
i hope it helped ᘳ◕ᴥ◕ᘰ
What is the image of (10, -12) after a
dilation by a scale factor of centered at the
origin?
Answer:
-5, -3
Step-by-step explanation:
What is the solution to the linear equation? 2/5 + p = 4/5 + 3/5p
Answer:
p=1
Step-by-step explanation:
2/5 + p = 4/5 + 3/5p
Multiply each side by 5 to clear the fractions
5(2/5 + p) = 5(4/5 + 3/5p)
2 +5p = 4 + 3p
Subtract 3p from each side
2+5p-3p = 4+3p-3p
2+2p = 4
Subtract 2 from each side
2+2p -2 = 4-2
2p =2
Divide by 2
2p/2 = 2/2
p=1
[tex]\huge\mathbb{\fcolorbox{red}{lavenderblush}{✰Answer}}[/tex]
[tex]\sf{\dfrac{2}{5}+p=\dfrac{4}{5}+\dfrac{3p}{5} }[/tex] [tex]\sf{ \dfrac{2}{5}+p=\dfrac{4+3p}{5} }[/tex] [tex]\sf{5(\dfrac{2}{5}+p)=4+3p }[/tex] [tex]\sf{ 2+5p=4+3p }[/tex] [tex]\sf{5p-3p=4-2 }[/tex] [tex]\sf{ 2p=2 }[/tex] [tex]\sf{p=\dfrac{2}{2} }[/tex] [tex]\bold{p=1 }[/tex]Suppose you roll a cube 30 times, what is a to describe the theoretical of rolling a 1, 4, 6, 7 Please help me!
Answer:
[tex]Pr(x) = \frac{1}{6}[/tex]
Step-by-step explanation:
Given
[tex]n = 30[/tex] --- number of rolls
Required
The theoretical probability of rolling: (a) 1 (b) 4 (c) 6 (d) 7
Assume the cube is 6 sided.
The sample space is:
[tex]S = \{1,2,3,4,5,6\}[/tex]
And the probability of each is:
[tex]Pr(x) = \frac{1}{6}[/tex]
Irrespective of the number of rolls, the theoretical probability of (a). (b), (c) and (d) is:
[tex]Pr(x) = \frac{1}{6}[/tex]
28 Marks
.
Two numbers have these properties.
Both numbers are greater than 6.
Their highest common factor (HCF) is 6.
Their lowest common multiple (LCM) is 60.
Find the two numbers, writing your answers on one line in the form,
The two numbers are ... and..
Answer:
HCF×LCM=a×b
6×60=a×b
a×b=360
So the numbers are whose product is 360 and LCM is 60
These two numbers can be 6,60 or 12,30
Which set of numbers does not contain the value below?
Select one:
a. Complex Numbers
b. Pure Imaginary Numbers.
c. Rational Numbers.
d. Integers.
Answer:
b. Pure Imaginary Numbers.
Step-by-step explanation:
[tex] (i \sqrt{3})^2 = i^2 \times (\sqrt{3})^2 = -1 \times 3 = -3 [/tex]
-3 is an integer, a complex number, and a rational number.
Answer: b. Pure Imaginary Numbers.
what is the answer for 10(x-7)=y
Help me down below
PLEASE
Answer:
there is one more zero
Step-by-step explanation:
now it's 8 million rather than 800 thousand.
is this a reasonable estimate? Why?
Answer:
See below.
Step-by-step explanation:
No, a reasonable estimate is around 7 * 6 = 42.
Round $6.99 to $7 and multiply by the 6 family members.
please help me answer this!!
Answer:
(x, y) = (10, 290)
Step-by-step explanation:
From the table
Total fees = fixed + variable
Fixed:
When number of times Ahmed mowed, x = 0
y = 40
When x = 2, y = 65
Rate of change = y2 - y1
= 65 - 40
= 25
y = 40 + 25x
Where,
y = total fees charged
40 = fixed fee
25x = variable fee
Total amount Ahmed will make for mowing 10 times
when x = 10
y = 40 + 25x
y = 40 + 25(10)
= 40 + 250
= 290
y = 290
(x, y) = (10, 290)
Acircle with radius of 2 cm sits inside a llcm x 12 cm
rectangle.
What is the area of the shaded region?
Round your final answer to the nearest hundredth.
Answer:
119.4
Step-by-step explanation:
The Area of the Rectangle : 132 cm
Area of the Circle : 12.6 cm
Shade= MINUS - 132 cm - 12.5 cm = 119.4!
Happy To Help! :)
Sara sees some notebooks she likes in a shop. They cost 35p each. This is the money she has. Look in the image
a. How many notebooks can Amy buy? _________
b. How much money will she have left? __________
NEED ANS ASAP giving u 50points
Answer:
Sara can buy 2 notebooks with the money that she has and she will have a remainding 23.1
Step-by-step explanation:
93.1-35-35=23.1
PLS ANSWER ASAP DUE 9:35
Answer:
c) 72
hope this helps!
please give brainiest<3
Answer:
72
Step-by-step explanation:
Substitution:
4^3 + 4 x 6 - 16
64+24-16=72
A company sold 3,000 computers in one month, but 12 were returned. If 3,500 were sold the next month, the company would expect 14 to be returned.
What is a valid proportion to represent the problem?
Answer:
the last one is correct
Step-by-step explanation:
because 3000/12 = 250 and 3500/14 = 250 so they are porportional.
Type the correct answer in each box. The reflection of point S across the y-axis is point . The reflection of point Q across the x-axis and the y-axis is point , whose coordinates are (, ).
Answer:
[tex]S' = (-5,-5)[/tex]
[tex]Q"=(-5,-5)[/tex]
Step-by-step explanation:
Given
[tex]S = (5,-5)[/tex]
[tex]Q= (5,5)[/tex]
Solving (a): Reflect S across y-axis
The rule to reflect across y-axis is:
[tex](x,y) \to (-x,y)[/tex]
So, we have:
[tex]S(5,-5) \to S'(-5,-5)[/tex]
Hence:
[tex]S' = (-5,-5)[/tex]
Solving (b): Reflect Q across x and y-axis
The rule to reflect across x-axis is:
[tex](x,y) \to (x,-y)[/tex]
So:
[tex]Q(5,5) \to Q'(5,-5)[/tex]
The rule to reflect across y-axis is:
[tex](x,y) \to (-x,y)[/tex]
So:
[tex]Q'(5,-5) \to Q"(-5,-5)[/tex]
Hence:
[tex]Q"=(-5,-5)[/tex]
i dont get it either
Step-by-step explanation:
The following box plot represents the average heights of the students in Mrs. Hill's sixth grade math class.
Which of the following statements can you determine from the graph? Select all that apply.
Half of the students in Mrs. Hill's class are between 147 centimeters and 154 centimeters tall.
The median height of the students in Mrs. Hill's class is 152 centimeters.
The interquartile range of this data set is 15 centimeters.
The mean height of the students in Mrs. Hill's class is 152.5 centimeters.
Answer:
152 and 9
Step-by-step explanation:
4a. Solve the inequality 3(2x - 4) + 6 > 18 + 2x , for x*
Answer:
x>6
Step-by-step explanation:
45
24
K K
AM
51
이
15
17
15
이
8
15
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8
17
음
Hope this help!!!
Have a nice day!!!!
Select ALL the functions whose graphs include the point (16, 4).
Answer:
D
Step-by-step explanation:
x=16
y=4
4=16-12
4=4
Answer:
D
Step-by-step explanation:
The length of the ladder that will run from the ground to the door of the tree house is nine feet. The plan recommends that the rungs of the ladder be spaced at 8-inch intervals. The first and last rung should be 6 inches from the respective ends. How many rungs will the tree house ladder have?
Answer:
13 Rungs
Step-by-step explanation:
According to the Question,
Given, The length of the ladder that will run from the ground to the door of the treehouse is 9 feet ( 9 × 12 = 108 inches).The plan recommends that the rungs of the ladder be spaced at 8-inch intervals.
And, The first and last rung should be 6 inches from the respective ends.Thus, the rungs Cover on 108 -(6+6) = 96 inches with 8-inch gaping between each rung.
Therefore, the Total Rungs on the treehouse ladders have (96/8)+1 ⇒ 13 Ladders.Can anyone help me on this I would appreciate it
Answer:
14
Step-by-step explanation:
Triangle=180
180-90 (RA) = 90
90-41= 39
(2x+11)=39
2x=28
x=14