Answers
• Angles DXC and AXB form a vertical pair, so they are congruent and have the same measure.
• ∆ABD is isosceles, since it's given that AD and BD are congruent. This means the "base angles" BAD and ABD have the same measure; call this measure x.
• The measure of angle ADB can be computed by using the inscribed angle theorem, which says
m∠ADB = 1/2 (100°) = 50°
(that is, it's half the measure of the subtended arc AB whose measure is 100°)
• The interior angle to any triangle sum to 180° in measure. So we have in ∆ABD,
m∠ADB + 2x = 180°
Solve for x :
50° + 2x = 180°
2x = 130°
x = 65°
• Use the inscribed angle theorem again to find the measure of angle BAC. This will be half the measure of the subtended arc BC, so
m∠BAC = 1/2 (50°) = 25°
• Now in ∆ABX, we have
m∠AXB + 25° + 65° = 180°
m∠AXB = 90°
Hence m∠DXC = 90°.
Related Questions
100 points! Mhanifa please help! Look at the picture attached. I will mark brainliest.
Answers
Answer:
D. CircumcenterStep-by-step explanation:
Those cities are located on the vertices of the triangle.
The circumcenter of a triangle is the point equidistant from the three vertices of the triangle.
Correct option is D.
Answer:
Incenter
Step-by-step explanation:
1) Since the newest location must be at the same distance from that Triangle's verticles.
2) Then, according to that, the point that it's central and equidistant is the incenter, Because the incenter is at the center of an inscribled circle.
3) Hence, the answer is Incenter.
2.2.2 A woman has a mass of 350lb. what is the mass in kg?
Answers
Answer:
158.757
Step-by-step explanation:
look it up
Answer:
Step-by-step explanation:
1 kg = 2.205 lb
350 lb × (1 kg)/(2.205 lb) = 157.8 kg
Help I have 10 minutes left
55
15x + 5
8
09
0.7
O 3,3
Answers
12x^2-36x=0 solve for x
solve for x
Answers
Answer:
x = 0 or x = 3
Step-by-step explanation:
This is a quadratic equation, but because the constant term is zero, we can speed up the solution by factoring 12x^2 - 36x = 0:
12(x^2 - 3x) = 0, or
12(x)(x - 3) = 0
Thus, either x = 0 or x = 3
--
Sofia is taking out a loan for $12,500 with
an annual compound interest rate of 5% for
10 years. Sofia will not make
any additional
I deposits or withdrawals. How much
X interest will she have to pay at the end of
the loan period?
Round your answer to the closest dollar
amount. Do not include $ symbol in answer
Answers
Answer:
Step-by-step explanation:
At the end of 10 years she will owe $12,500 × 1.05¹⁰ ≈ $20,361.
$12,500 of that is the original loan, so the interest is $20,361 - $12,500 = $7,861
Production shows that only 3 of the first 10 phones are working which is 30% of the phones describe how the percentage other working phones changes if the 11th and 12th phone won't work correctly
Answers
Answer:
If you have 10 phones, this is the 100%
then:
10 = 100%
Now we know that only 3 of them work correctly, then the percentage of pones that works correctly can be related to:
3 = X%
To find the value of X%, we can take the quotient of the equations:
3 = X%
and
10 = 100%
We ge:
(3/10) = (X%/100%)
We solve this for X and we get:
(3/10)*100% = X% = 30%
As we already know.
Now let's see how this percentage changes if we add more phones that do not work correctly.
Now we add another phone that does not work, so we have a total of 11 phones and 3 of them work.
then:
3 = X%
11 = 100%
The quotient is:
(3/11) = (X%/100%)
(3/11)*100% = X% = 27.3%
If we add another phone, now we have 12 phones and only 3 of them works, then 12 is the 100%, and we have the equations:
3 = X%
12 = 100%
Then we get:
(3/12) = X%/100&
(3/12)*100% = X% = 25%
Find the value of x, y, and z.
degrees, y =
type your answer...
degrees, z =
type your answer...
Degree =
Answers
Answer:
x = 61°
y = 61°
z = 58°
Step-by-step explanation:
In the given triangle, measures of two sides are equal. So, measures of angles opposite to them are also equal.
Therefore,
[tex]x + x + 58 \degree = 180 \degree \\ \\ 2x = 180 \degree - 58 \degree \\ \\ 2x = 122 \degree \\ \\ x = \frac{122 \degree}{2} \\ \\ x = 61\degree \\ \\ y = 61\degree \\ ( \angle s \: in \: the \: alternate \: segment) \\ \\ z = 58\degree \\ ( \angle s \: in \: the \: alternate \: segment) \\ [/tex]
A person invests 2000 dollars in a bank. The bank pays 4.75% interest compounded
quarterly. To the nearest tenth of a year, how long must the person leave the money
in the bank until it reaches 3500 dollars?
A = P(1 + + ?.)nt
n
00
Answer:
Submit Answer
Answers
Answer:
t = 2.7
Step-by-step explanation:
1. Use formula provided
2. A = 3500 B = 2000 r = 4.75 n = 12months/4 = 3 months t = ?
3. Solve
3500=2000(1+4.75/3)^3t
3t=logbase(31/12)*1500
t=logbase(31/12)*1500 / 3
t ≅2.568
Answer:11.9
Step-by-step explanation:
A sample of a radioactive isotope had an initial mass of 360 mg in the year 1998 and
decays exponentially over time. A measurement in the year 2004 found that the
sample's mass had decayed to 270 mg. What would be the expected mass of the
sample in the year 2011, to the nearest whole number?
Answers
Answer:
193 mg
Step-by-step explanation:
Exponential decay formula:
[tex]A_t = A_0e^r^t[/tex]where Aₜ = mass at time t, A₀ = mass at time 0, r = decay constant (rate), t = timeOur known variables are:
1998 to the year 2004 is a total of t = 6 years.The sample of radioactive isotope has an initial mass of A₀ = 360 mg at time 0 and a mass of Aₜ = 270 mg at time t.Let's solve for the decay constant of this sample.
[tex]270=360e^-^r^(^6^)[/tex][tex]270=360e^-^6^r[/tex] [tex]\frac{3}{4} =e^-^6^r[/tex][tex]\text{ln} (\frac{3}{4} )= \text{ln}(e^-^6^r)[/tex] [tex]\text{ln} (\frac{3}{4} )=-6r[/tex] [tex]r=-\frac{\text{ln}\frac{3}{4} }{6}[/tex] [tex]r=0.04794701[/tex]Using our new variables, we can now solve for Aₜ at t = 7 years, since we go from 2004 to 2011.
Our new initial mass is A₀ = 270 mg. We solved for the decay constant, r = 0.04794701.
[tex]A_t=270e^-^(^0^.^0^4^7^9^4^8^0^1^)^(^7^)[/tex] [tex]A_t=270e^-^0^.^3^3^5^6^2^9^0^7[/tex][tex]A_t=193.01982213[/tex]The expected mass of the sample in the year 2011 would be 193 mg.
Determine the slope of the line that passes through the points (-1,7) and (2,9)
Answers
Answer:
y=2/3x+23/3
check image
A school staff meeting had 36 teachers in attendance, 75% of whom were first-year teachers. How many first-year teachers were in the meeting?
Answers
Answer:
27
Step-by-step explanation:
First, lets write this down, 36 x 75%, then lets convert the percent: 36 x .75, multiply! And we get 27.
Answer:
[tex]\huge\boxed{\sf 27\ teachers}[/tex]
Step-by-step explanation:
Total Teachers in the meeting = 36
First-year teachers = 75 % of 36
We know that:
[ "of" means to "multiply" ]
[ % means out of 100 ]
So,
= [tex]\frac{75}{100} * 36[/tex]
= [tex]\frac{3}{4} * 36[/tex]
= 3 * 9
= 27 teachers
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Sampling and Design
In an experiment, _____________ means keeping other variables constant for all experimental units.
Answers
Answer is in a photo. I can't attach it here, but I uploaded it to a file hosting. link below! Good Luck!
cutt.us/tWGpn
please answer asap 17 brainy points is all I had left
Answers
Answer:
A) 69.08 m
Step-by-step explanation:
C=2πr
C=2π(11)
C=22π
C≈69.12
Answer:
drraaaaaa wild'n out boiii
Step-by-step explanation:
Taking my points back.
what is 30% of $240?
Answers
Answer:
72
Step-by-step explanation:
.30×240
72
Answer:
$72
Step-by-step explanation
You need to turn a percent into a decimal. To do that, you move the decimal twice to the left so, 30%=.3.Multiply: 240*.3=72$72Hope this helped!! :)
Stay safe and have a wonderful day/night!!!!!
Brainliest?!?!
Help plz!!!!!!!!!!!!!!!?
Answers
Answer: step 2
Step-by-step explanation:
Please simplify this expression.
1 + 4.25n + 32p – 3 + (–2p) + 54n
Answers
Answer:
58.25n+30p-2
Step-by-step explanation:
Given the expression as;
1 + 4.25n + 32p – 3 + (–2p) + 54n
collect like terms
1-3+4.25n+54n+32p-2p
-2+58.25n+30p
58.25n+30p-2
I have copied one brainly user's answer, sorry for that...
However, hope it helps you!!!
The dimensions of a rectangular community garden are 47 ft by 27 ft. The gardeners plan to divide the garden into equal-sized square plots. What is the greatest possible side length of each square plot? Use pencil and paper. How many square plots will there be with this side length? What will be the total area of the square plots? Explain how you can use the total area to check your work.
Answers
Answer:
the greatest possible length of each square plot is 1 ft.
1,269 square plots
Step-by-step explanation:
Since the plots are going to be squares then the width and length need to be the same. This means that the largest size of these plots would be calculated as the largest common divisor of the length and width of the garden. In this scenario, since 47 only has two divisors 1 and 47, and 27 is not divisible by 47 then the GCD of these two numbers would be 1. Meaning that the greatest possible length of each square plot is 1 ft.
To calculate the total number of plots needed we divide the square footage of the garden by the square footage of each individual plot like so...
47 * 27 = 1,269 sq. ft.
1 * 1 = 1 sq. ft.
1,269 / 1 = 1,269 plots
Finally, we see that we need a total of 1,269 square plots to cover that same area of the garden.
A line passes through the point (-6, 5) and has a slope of -3.
Write an equation in slope-intercept form for this line.
Answers
Answer:
y
Step-by-step explanation:
y
=
4
x
−
26
Explanation:
The slope-intercept form of a line is:
y
=
m
x
+
b
where:
m
is the slope of the line
b
is the y-intercept
We are given that
m
=
4
and the line passes through
(
7
,
2
)
.
∴
2
=
4
⋅
7
+
b
2
=
28
+
b
b
=
−
26
Therefore the equation of the line is:
y
=
4
x
−
26
graph{y=4x-26 [-1.254, 11.23, -2.92, 3.323]}
this is a lil hard can i get help?
Answers
Answer:
A. 5+3=3+5
Step-by-step explanation:
The commutative property of addition says that changing the order of numbers does not change the sum. In this case, they both equal 8 even though the numbers are switched.
2. The weights (in pounds) of three adult males are
160, 215, and 195. The standard error of the mean of
these three weights is
(a) 190. (b) 27.84. (c) 22.73. (d) 16.07. (e) 13.13.
Answers
Answer:
(d) 16.07
Step-by-step explanation:
Step 1
We find the mean
Formula = Sum of Terms/Number of Terms
= 160+ 215 + 195/3
= 570/3
= 190
Step 2
We find the Standard Deviation
We use the formula for Sample Standard deviation =
√Mean - x/n - 1
n = 3
= √[(160 - 190)² + (215 - 190)² + (195 - 190)²]/3 - 1
= √1550/3
= √775
= 27.83882181
Approximately = 27.84
Step 3
We find the Standard Error of the mean
The formula = Standard deviation/√n
= 27.84/√3
= 16.07
Option d is correct
Based on the information given, the standard error of the mean of these three weights is 16.07.
The mean of the numbers will be:
= (160 + 215 + 195)/3
= 190
The standard deviation will be approximately 27.84.
Lastly, the standard error will be:
= 27.84 × ✓3
= 16.07
Learn more about mean on:
https://brainly.com/question/14532771
solve for x
x/11 = 10/12
Answers
Answer:
x = 9 and 1/6
Step-by-step explanation:
Cross multiply:
x × 12 = 10 × 11
12x = 10 × 11
12x = 110
Divide each side by 12:
12x ÷ 12 = 110 ÷ 12
x = 110 ÷ 12
x = 9 and 1/6
As a decimal: x = 9.1666666666667
Help me please I need help
Answers
Answer:
a=11
Step-by-step explanation:
hold on our servers are swamped
x+(y+1) divided by 5
Answers
Answer:
uhm so you'd assume y is more than 5 so maybe try x +(7+1) /5
now do x + 8 /5. x must be like 7 so
x= 7 and y= 7 so it is 7 + (7+1) divided by 5 which is 3 I believe
simplifying it just as is is more like x + (y+1) / 5
your welcome :3
Step-by-step explanation:
Okay last question, please someone help me !
Answers
Answer:
hey mate!!
Step-by-step explanation:
-28 is the answer
Answer:
-28
Step-by-step explanation:
Help please! I’m stuck on this question
Answers
Step-by-step explanation:
[tex]x + \frac{7}{100} \times x = 749000 \\ 1.07x = 749000 \\ x = 700000[/tex]
What is the value of x in the figure below?
(3x + 8):
35
9
=|ო
45
WN
O
81
Answers
Answer:
c?
Step-by-step explanation:
5 - 2 (4а + 1) - За - 13 I need help
Answers
Answer:
-11a - 10
Step-by-step explanation:
simplify in order of terms: -2(4a + 1) - 3a - 13 + 5
simplify: -8a - 2 - 3a - 8
simplify again: -11a - 10
5 -8a -2 - 3a - 13
3 - 11a - 13
-10 - 11a
and if you want to solve for a:
-10 - 11a = 0
-11a = 10
a = -10/11
Find the value of x. Round to the nearest tenth if needed.
Answers
144 + 36 = x^2
180 = x^2
13.416407865 = x
rounded
x = 13.4
please help im offering the highest amount of points I can give.
Answers
Answer:
96 cm^3
Step-by-step explanation:
I hope this helped!
Someone help and please make sure it’s right
Answers
Answer:
20°
Step-by-step explanation:
Look at the attached photo.
∠a and ∠e are equal because they are vertical angles.
So, m∠a = 110°
Then, ∠f is an exterior angle to angles a and c. So,
m∠f = m∠a + m∠c
Substitute and solve.
130 = 110 + m∠c
m∠c = 20°
Then, ∠c and ∠d are vertical angles so they are equal.
m∠c = m∠d
m∠d = 20°
I hope this helps! Feel free to ask any questions!