30 points! (check image)
a. x = 15, y = 40
b. x = 30, y = 40
c. x = 15, y = 20
d. x = 30, y = 20
Answers
Answer: a. x = 15, y = 40
Step-by-step explanation:
So we already know that ΔABC and ΔFDE are congruent, which means their angles are equal. Based on this information, we could note that:
∠A = ∠F
∠C = ∠E
∠B = ∠D
Since we already know the measurement of ∠B, we could then conclude that ∠D, or y, is equal to 40°. This leaves us with two possible answers, a or b.
In order to find the value of x, we need to know the measurement of ∠F. And in order to find ∠F, we need to find the measurement of ∠A. We already know that the angles in a triangle sums up to 180°. So we would start as the following.
∠A + ∠B + ∠C = 180
We first substitute the known measurements.
∠A + 40 + 110 = 180
We then add up 40 with 110.
∠A + 150 = 180
We finally substract 150 on both sides of the equation. This gives us the measurement of ∠A.
∠A = 30°
Now that we know ∠A, we could start finding the value of x. So we already know this:
∠A = ∠F
We first substitute each angle with their known measurements.
30 = 2x
We now divide both sides by two. This gives the value of x.
x = 15
Related Questions
What is x+3=-4 as a decimal
(Sole for x)
Answers
Answer: x = 7
Step-by-step explanation:
Subtract both sides by 3
X+3-3 = -4 - 3
X+0 = -7
X=-7
Answer:
-7
Step-by-step explanation:
x+3=-4
x=-4-3 (subtract 3 from both sides)
x=-7 (combine like terms)
prove that
[tex]sinAsin(A+2B)-sinBsin(B+2A)=sin(A-B)sin(A+B)[/tex]
pls help...
Answers
Answer:
The identity sinA sin(A+2B) - sinB sin(B+2A) = (sinA)^2 - (sinB)^2 is proved below.
Step-by-step explanation:
sinA sin(A+2B) - sinB sin(B+2A) =
sinA ( sin(A) cos(2B) + sin(2B) cos(A) ) - sinB (sin(B)cos(2A) + sin(2A)cos(B) ) =
sinA( sinA [cos^2(B)- sin^2(B)] + 2 sin(B) cos(B) cosA ) - sinB( sinB(cos^2A-sin^2A)+2 sinA cosA cos(B) ) =
sin^2A(cos^2B-sin^2B) + 2 sinB cosB sin(A) cos(A) - sin^2B(cos^2A-sin^2A) - 2 sinA sinB cosA cosB =
sin^2A(cos^2B-sin^2B) - sin^2B(cos^2A-sin^2A) =
sin^2Acos^2B - sin^2Asin^2B - sin^2Bcos^2A + sin^2Bsin^2A =
sin^2Acos^2B - sin^2Bcos^2A =
(1 - cos^2A)(cos^2B) - (1 - cos^2B)(cos^2A) =
cos^2B - cos^2A cos^2B - cos^2A + cos^2B cos^2A =
cos^2B - cos^2A =
1 - sin^2B - (1 - sin^2A) =
sin^2 (A) - sin^2 (B)
In the given figure find the value of x.
Answers
قيمة x تساوي أربعين
أتمنى أن يساعد :)
[tex]\large\underline{\sf{Solution-}}[/tex]
Given that,
→ In triangle KML, P and N are the points on KK and KM respectively such that
[tex]\rm \longmapsto\:KN = c[/tex]
[tex]\rm \longmapsto\:NM = b[/tex]
[tex]\rm \longmapsto\:PN = x[/tex]
[tex]\rm \longmapsto\:LM = a[/tex]
[tex]\rm \longmapsto\: \angle \: KNP = 50 \degree[/tex]
[tex]\rm \longmapsto\: \angle \: LKM = 50 \degree[/tex]
Now,
[tex]\rm \longmapsto\: In \: \triangle \: LKM \: and \: \triangle \:KNP[/tex]
[tex] \purple{\rm \longmapsto\:\angle \:PKN \: = \: \angle \:PKN \: \: \: \: \: \{common \}}[/tex]
[tex] \purple{\rm \longmapsto\:\angle \:KNP \: = \: \angle \:KML \: \: \: \: \: \{each \: 50 \degree \}}[/tex]
[tex] \purple{\rm\implies \:\triangle \:LKM \: \sim \: \triangle \:PKN \: \: \: (AA \: similarity)}[/tex]
[tex]\bf\implies \:\dfrac{KN}{KM} = \dfrac{PN}{LM} [/tex]
[tex]\rm \longmapsto\:\dfrac{c}{b + c} = \dfrac{x}{a} [/tex]
[tex]\bf\implies \:x \: = \: \dfrac{ac}{b + c}[/tex]
[tex]\textsf{Hope this helps!!}\\[/tex]
There are 12 inches in 1 foot. Use a proportion to covert 12 feet into inches.
Answers
Y=2x-4
What is the five ordered pairs and completing the input/output table
Answers
Answer:
{(0, -4), (1, -2), (2, 0), (3, 2), (4, 4)}
Input values (x) = {0, 1, 2, 3, 4}
Output values (y) = {-4, -2, 0, 2, 4}
Step-by-step explanation:
Given the linear equation, y = 2x - 4, you could practically choose any input value (for x), to have an output value (for y).
If x = 0:
y = 2(0) - 4
y = 0 - 4
y = -4
First ordered pair: y-intercept = (0, -4)
If x = 1:
y = 2(1) - 4
y= 2 - 4
y = -2
Second ordered pair: (1, -2).
If x = 2:
y = 2(2) - 4
y= 4 - 4
y = 0
Third ordered pair: x-intercept = (2, 0).
If x = 3:
y = 2(3) - 4
y = 6 - 4
y = 2
Fourth ordered pair: (3, 2).
If x = 4:
y = 2(4) - 4
y = 8 - 4
y = 4
Fifth ordered pair: (4, 4).
Your input values (x) = {0, 1, 2, 3, 4}
Your output values (y) = {-4, -2, 0, 2, 4}
value of 3a – 5b when a = –4 and b = 2 .
Answers
Answer:
- 22
Step-by-step explanation:
3(-4) - 5(2)
-12 - 10
- 22
Answer:
-22
Step-by-step explanation:
3(-4) = -12
5(2) = 10
-12-10 =-22
what is the answer thx
Answers
Answer:
f(3) = 100
Step-by-step explanation:
Using the recursive formula and f(1) = 1 , then
f(2) = - 10 f(1) = - 10 × 1 = - 10
f(3) = - 10 f(2) = - 10 × - 10 = 100
How many ghosts are in the
haunted house? Here are some
clues: There are more ghosts
than the number of days in
October. There are less than
the product of 7 and 5. The
answer is an odd number.
Answers
Answer:
33
Step-by-step explanation:
31 days in October
7x5=35
possible answers are:
32,33,34
as to be odd so its 33
What is the equation of the line that passes through the point (-8, 2) and has an
undefined slope?
Answers
Answer:
x=-8
Step-by-step explanation:
An undefined slope is a vertical line, and the equation for one is always x=(Whatever number x is at those points).
Therefore, with our point of (-8, 2), the equation must be x=-8
Diseases tend to spread according to the exponential growth model…Help plz!! Will mark branliest! Show me the steps.
Answers
[tex]growth\:=(\frac{present \: value}{past \: value})^{ \frac{1}{n} } \: - 1 [/tex]
past value = 1700 people
n = 2005 - 1983 = 22
growth rate = 190%
present value = ?
then,
[tex]190\% = ( \frac{?}{1700})^{ \frac{1}{22} } - 1[/tex]
1.9 = (x/1700) ^(1/22) - 1
1.9 + 1 = (x/1700) ^(1/22)
2.9 = (x/1700) ^(1/22)
log 2.9 = 1/22(logx - log 1700)
log2.9 = 1/22logx - 1/22log1700
log2.9 + 1/22log1700 = 1/22logx
log(2.9 * 1/22(1700)) = 1/22logx
log 224 = 1/22logx
log(224 - 1/22(x)) = 1
log(224 - 1/22(x)) = log 10
224 - 1/22(x) = 10
(234) * 22 = x
x = 5148.
Number of people to die from AIDS would have been 5148 if left unchecked.
That's what I found. Please feel free to tell me where am wrong.
All the best!
hello! again... im so confused on this. could someone please help me figure out the answer + explanation? tysm!
Answers
Then, to get to x^2 + 1, the parent function was basically moved up by 1 on a graph.
To go from that equation to the h(x) function just follow the rules. Anything inside of a parentheses followed by a square is the opposite of what it actually is. So if you have (x - 8)^2, you’re moving the parent function 8 units to the right, instead of the left. If it’s (x + 8)^2, you are moving to the left 8. Anything outside of the parentheses that is being subtracted or added is moving the parent function down or up, respectively. Therefore, when it tells you + 5 at the end, that just means, up 5. Then if there is a negative out in front of the entire equation like you see there, it is being reflected over the x - axis. Then, the number being multiplied—in this case 3/4– is either a vertical compression or a vertical stretch. If the number is bigger than 1, it is a vertical stretch. If the number is smaller than one, it is a vertical compression.
All in all:
Vertical compression of 3/4
Vertical translation 4 units up
Reflection across the x - axis
Horizontal translation 8 units right
If you’re confused on anything, send me a comment or PM :)
Determine whether the graphs of the given equations are parallel, perpendicular, or neither.
y=−6
x=2
Choose the correct answer below.
A.
Perpendicular
B.
Neither
C.
Parallel
Answers
Answer:
A. Perpendicular
CarryOnLearning
a) Express Z in terms of X and Y
b) solve the equation
Answers
Answer:
1.–2
2.–52.5
Step-by-step explanation:
I'm not sure
in that's wrong answer?
:))
complete the missing value in the solution to the equation.
Answers
Answer:
Your answer is ( -1, 3 ).
Hope this helps!
Step-by-step explanation:
y - 3 = 2 ( (-1) +1 )
y - 3 = 2 ( 0 )
y - 3 = 0
y = 3
A store sells a box of pencils for $3. Each box contains 24 pencils. How much will it cost a teacher to buy pencils
for 25 students?
$6
$9
$54
$150
Answers
Answer:
$6
Step-by-step explanation:
This is for one pencil to each student. Since each box is $3, and she has 25 students, you would figure out how many students are left out with one box, and since you only have one left, you only need one more box. That would mean two boxes, so $3x2= $6
Answer:
Hii, okay so I went thru my old test (from like a month ago), and the answer $6
Hope this helps! :)
Step-by-step explanation:
A local pizza shop has a membership program for frequent buyers. The membership costs $15 per month and members get a discounted price of $2 per slice of pizza. Anna purchased a membership to this pizza shop. How much would Anna have to pay the pizza shop if she bought 11 slices of pizza this month? What would be the monthly cost for xx slices of pizza
Answers
Answer:
$37
2x+15=y
Step-by-step explanation:
2x+15=y would be the function for any member's cost to be figured.
In Anna's case, if she bought 11 slices of pizza for $2 each and paid for her monthly membership of $15 then the equation would be
2(11)+15=
2x11=22
22+15=37
Her cost for that month would be $37
Ejercicio 3. Aplica las leyes de los exponentes de potencia elevada a otra potencia y de producto,
para simplificar los siguientes ejercicios
Answers
Aplicando las leyes de los exponentes de potencia, los resultados son los siguientes:
[tex]2097152[/tex] [tex]\frac{1}{729}[/tex] [tex]b^{12}[/tex] [tex]x^{24}[/tex][tex]x^{\frac{6}{5} }[/tex][tex]3600[/tex][tex]a^{6}\cdot b^{10}\cdot c^{-8}[/tex][tex]200\cdot x^{19}[/tex][tex]108\cdot y^{6}[/tex]En este ejercicio debemos aplicar cualesquiera de las siguientes propiedades asociadas a los exponentes:
(i) [tex](a^{b})^{c} = a^{b\cdot c}[/tex]
(ii) [tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]
(iii) [tex]a^{-b} = \frac{1}{a^{b}}[/tex]
(iv) [tex]a^{b} = a^{b}[/tex], donde [tex]a[/tex] es negativo o positivo y [tex]b[/tex] es par.
(v) [tex](-a)^{b} = -a^{b}[/tex], donde [tex]a[/tex] es positivo y [tex]b[/tex] es impar.
(vi) [tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]
A continuación, tenemos los siguientes resultados:
a) [tex](2^{3})^{7} = 8^{7} = 2097152[/tex]
b) [tex](3^{3})^{-2} = 3^{-6} = \frac{1}{729}[/tex]
c) [tex](b^{3})^{4}=b^{12}[/tex]
d) [tex][(x^{2})^{3}]^{4} = (x^{6})^{4} = x^{24}[/tex]
e) [tex]\left(x^{\frac{3}{5} }\right)^{2} = x^{\frac{6}{5} }[/tex]
f) [tex](3\cdot 4\cdot 2)^{5} = 3^{2}\cdot 4^{2}\cdot 5^{2} = 9\cdot 16\cdot 25 = 3600[/tex]
g) [tex](a^{3}\cdot b^{5}\cdot c^{-4})^{2} = (a^{3})^{2}\cdot (b^{5})^{2}\cdot (c^{-4})^{2} = a^{6}\cdot b^{10}\cdot c^{-8}[/tex]
h) [tex](2\cdot x^{5})^{3}\cdot (-5\cdot x^{2})^{2} = (2^{3}\cdot x^{15})\cdot [(-5)^{2}\cdot x^{4}] = (8\cdot x^{15})\cdot (25\cdot x^{4}) = (8\cdot 25)\cdot x^{19} = 200\cdot x^{19}[/tex]
i) [tex]\left(3\cdot y^{\frac{2}{3} }\right)^{3}\cdot (2\cdot y^{2})^{2} = (27\cdot y^{2})\cdot (4\cdot y^{4}) = 108\cdot y^{6}[/tex]
Invitamos cordialmente a consultar esta pregunta sobre potencias: https://brainly.com/question/24239709
A ∠A and ∠ B ∠B are supplementary angles. If m ∠ A = ( 8 x − 25 ) ∘ ∠A=(8x−25) ∘ and m ∠ B = ( 7 x − 5 ) ∘ ∠B=(7x−5) ∘ , then find the measure of ∠ B ∠B.
Answers
Answer:
I got x = 20
Step-by-step explanation:
what i did was 8x - 25 = 7x -5, i then did 8x - 25 + 5 = 7x -5 +5 then you get 8x - 20 = 7x I then did 8x - 20 -8 = 7x -8 you would get -20 = -1x or -x and -20/-1 = x = 20 I hope this works : )
Can anyone help? I have no idea how to do this
Answers
if 9m away from deep point, m1 also away from 9m to radius line.
so if we draw 2 x 2y to 1 half side of circle, y is connected with 9m, x is connected to 6m.
2 x = 150 sec
if i say 1 x 6m 2x 12m
x =75 sec =12.5 sec
(2x +2y ).2 is whole circle round
12.5*15*2
750 second is answer
is it true?
I need help really bad
Answers
Can someone help me on all or some of these questions Plzzzzz
Answers
Answer:
yes but where are the questions??
Step-by-step explanation:
HELP HELP HELP!!!!!!!!!!!
Answers
Answer:
i think it's d
Step-by-step explanation:
A pot contains 2.5 gallons of water. How many pints of water is in the pot?
Please help!!
Answers
Answer:
20 Pints
Step-by-step explanation:
If there are 8 pints in 1 gallon of water, then multiply 8 by 2.5 to get 20 pints of water.
Help me please i don't understand this thanks
Answers
Answer:
12.75
Step-by-step explanation:
12.75 rounded to the nearest tenth is 12.8, and 12.74 won't work because it will round to 12.7.
Therefore, 12.75 is the smallest possible number.
What is the slope if the line shown below
Answers
Answer:
what is the slope of the line shown below? (if anyone knows)
(-4, 3) & (3, 1)
This is that number.
I think
Look at the figure
is it
A) CML
B)LCM
C)MLC
D)MCL
Answers
The triangle is flipped so it should match.
help me pls ASAP I need it in 5mins
Answers
Answer: empty set
Step-by-step explanation:
All prime numbers only have two factors.
Please solve this equation
Answers
Answer:
try 80
Step-by-step explanation:
cause u add the number
Find the translation that moves the figure 2 to figure 3 on the coordinate plane.
RA
O (x + 3, y + 3)
O (x + 4, y + 2)
O (x -4, y +1)
O (x-4, y-2)
N
Answers
In a clothing store, a pair of pants that regularly sell for $42 is marked, "Save 15%." What is the sale price of the pants?
Answers
42 plus 15% is 48.3