1) In the given ABC; AB = BC and BD =
BC and BD = CD. Find the value
of a°, bº and cº.
Answers
Answer:
a = b = c = 45°
Step-by-step explanation:
[tex]In\: \triangle BDC, \\\\
BD = CD.... (given) \\\\
\therefore m\angle DBC =m\angle DCB\\(By\: isosceles \:\triangle\: property) \\
\therefore a\degree = b\degree.... (1)\\\\
m\angle BDC= 90\degree \\\\
\because m\angle BDC + a\degree + b\degree=180\degree \\\\
90\degree+ a\degree + a\degree=180\degree\\ [from \: equation \: (1)]\\\\
2a\degree=180\degree -90\degree\\
2a\degree= 90\degree\\\\
\therefore a\degree=\frac{ 90\degree}{2} \\\\
\huge\purple {\boxed {\therefore a\degree=45\degree}} \\\\
\implies \huge\red {\boxed { b\degree=45\degree}} \\\\
In\: \triangle ABC, \\\\
AB = BC.... (given) \\\\
\therefore m\angle BAC =m\angle BCA\\(By\: isosceles \:\triangle\: property) \\
\therefore c\degree = b\degree\\\\
\because b\degree=45\degree \\\\
\implies \huge\orange {\boxed { b\degree=45\degree}} [[/tex]
Related Questions
In a class 3/4 of the boys like math, 1/2 like science, 1/4 of those who like science do not like math. How many boys like neither math nor science?
A. 1/4
B. 1/6
C. 1/2
D. 1/8
Answers
D.1/8
A certain radioactive isotope has a half-life of 50 years. A scientist determines that there are 200 grams of the radioactive material present today. How
Much of the isotope was present 200 years ago?
Answers
im guessing 800 50X4 = 200 and 200X4 = 800
i never learned this but i hope its correct.
yall the answer is 0.17 hope this help
Answers
Answer:
I just saw a girl post the nastiest nu!des EVER
Compré 18 cuadernos, 24 carpetas y 17 lapiceras. El precio de las carpetas excede al de los cuadernos en un 40%, mientras que el precio de las lapiceras es el 20% del precio de los cuadernos. Si el importe de la compra fue de $11.825, calcular el precio unitario de cada artículo
Answers
Answer:talk some English dude
Step-by-step explanation:
(8.03 LC)
Aaron collects 54 rocks at the beach. He wants to give an equal number of rocks to 6 of
his friends. How many rocks did each of Aaron's friends get?
If r represents the number of rocks each friend will get, which equation could be used to
solve the problem?
Answers
Answer:
9, 54=6r
Step-by-step explanation:
54/6=9 rocks
54=6r
Dreya is saving money to purchase a $900 computer, and she saves $10 the first week. Each week after that, she saves $3 more than the previous week, except in the last week, when she reaches $900. To have a final sum of exactly $900, how much money does Dreya need to save in her final week of saving?
$13
$60
$70
$73
Answers
Answer:
$ 60
Step-by-step explanation:
hope it helps!
.....
Answer:
It is B
Step-by-step explanation:
Got it right on unit review
solve for the missing value (?) 3:9=? ?:81=
Answers
Answer:
27
Step-by-step explanation:
First you need to figure out what times 9 = 81
9 x 9 =81
since you have to do the same thing on both sides of the equation you do
3 x 9
which gets you 27
Solve:
-3(1 + 4x) = 33
x =
Solve:
-4(-6y – 3) = 12
y =
Solve:
-(x – 8) = -2
x =
Solve:
−3(4r − 8) = −36
r =
Solve:
6(−x − 3) = 24
x =
Solve:
3(x − 2) = 18
x =
Solve:
2(4x + 4) = 24
x =
Please help
Answers
Answer:
−
3
(
1
+
4
)
=
3
3
Step-by-step explanation:
Answer:
1: -3
2: 24
3: 10
4: 5
5: -7
6: 8
7: 2
Step-by-step explanation:
hope this helps:)
Help out pleaseeeeeeeeeeeeeeeee
Answers
simplify x^2 + ax - 2a^2÷
3a^2 - 2ax - x^2?
Answers
Answer:
[tex] - \frac{x + 2a}{3a + x} [/tex]
Step-by-step explanation:
[tex] \frac{ {x + ax - 2 {a}}^{2} }{3a {}^{2} - 2ax - {x}^{2} } [/tex]
i) write ax as a difference
[tex] \frac{ {x}^{2} + 2ax - ax - 2 {a}^{2} }{3 {a}^{2} - 2ax - x {}^{2} } [/tex]
ii) write -2ax as a difference
[tex] \frac{ {x}^{2} + 2ax - ax - 2a {}^{2} }{3a {}^{2} + ax - 3ax - x {}^{2} } [/tex]
iii) factor out x from the expression
[tex] \frac{x(x + 2a) - ax - 2 {a}^{2} }{3 {a}^{2} + ax - 3ax - {x}^{2} } [/tex]
iv) factor out -a from the expression
[tex] \frac{x(x + 2a) - a(x + 2a)}{3 {a}^{2} + ax - 3ax - {x}^{2} } [/tex]
v) factor out a from the expression
[tex] \frac{x(x + 2a) - a(x + 2a)}{a(3a + x) - 3ax - {x}^{2} } [/tex]
vi) factor out -x from the expression
[tex] \frac{x(x + 2a) - a(x + 2a)}{a(3a + x) - x(3a + x)} [/tex]
vii) factor out x+2a from the expression
[tex] \frac{(x + 2a)(x - a)}{a(3a + x) - x(3a + x)} [/tex]
viii) factor out 3a+x from the expression
[tex] \frac{(x + 2a)(x - a)}{(3a + x)(a - x)} [/tex]
ix) factor out the negative sign from the expression and rearrange the term
[tex] \frac{(x + 2a)( - ( - a - x))}{(3a + x)(a - x)} [/tex]
x) reduce the fraction a-x
[tex] \frac{(x + 2a)( - 1)}{(3a + x)} [/tex]
[tex] - \frac{x + 2a}{3a + x} [/tex]
The rational function f is defined as, where h and g are polynomials.
The degree of h is m and the degree of g is n.
Which of the following statements are TRUE?
I. If m > n the absolute value of the function approaches positive infinity as x gets very large.
II. If m < n the value of the function approaches zero as x gets very large.
III. If m = n the value of the function approaches a constant as x gets very large.
Answers
Answer:
g
Step-by-step explanation:
x goes to f m to 5 :-)
if you dont know what 3x4= its 12
Answers
Answer:
thanks im not smart
Step-by-step explanation:
sn i knew that...
please help with this question (d+2)(-7)
Answers
Answer:
-7d-14
Step-by-step explanation:
First, let's distribute -7 to (d+2)
-7xd
-7x2
We will get -7d-14
Please help me out !!!
Answers
Answer:
If the segments AU and UT are equal then AT equals 66, if the segments are not equal then AT equals 6x+24. Depends on what you are learning. Use what you need!
Step-by-step explanation:
4x+5 = 2x+19
2x=14
x=7
4(7)+5+2(7)+19 = 42+24 = 66
What is the GCF of the expression -x2y22 - xy2z?
Answers
Answer:
i dont onderstand Thais
12 points!! PLEASE
y =(x-3) - 4
rewrite these in standard and factored form!!
Answers
Standard form:
x - y = 7
Factored form:
y = x - 7
Answer:
y = x - 3 - 4
y = x - 7
(x - 7 = y)
(x = y + 7)
Step-by-step explanation:
Hope you got it.
Compute $\sqrt{25^2-7^2}$.
Answers
Answer:
24
Step-by-step explanation:
[tex]\sqrt{25^2-7^2}\\\\=\sqrt{(25-7)(25+7)}\\\\=\sqrt{18(32)}\\\\=\sqrt{9*2*2^5}\\\\=\sqrt{3^2\cdot 2^6}\\\\=\sqrt{(3\cdot2^3)^2}\\\\=3\cdot2^3\\\\=3\cdot8\\\\=24[/tex]
Answer:
24
Step-by-step explanation:
First we compute the number under the radical.
We have 25² = 625 and 7² = 49, so 25² - 7² = 625 - 49 = 576.
Thus, √25² - 7² = √576 = √24², which is 24.
Michael's car can travel 25 miles on one gallon of gas. The cost of gas is $3.75 per gallon. Which equation could calculate the total cost of gas, y, based on the number of miles traveled, x
Answers
6 ×3(2+9)..can you give the answer of it please
Answers
Answer:
Hope this may helps you
Step-by-step explanation:
6×3(11)
6×33
198
Answer:
198
Step-by-step explanation:
6 ×3(2+9)
= 6×3×11
= 6×33
= 198
Haya la integral de xarcsenx/((1-x^2)^1/2). Utiliza la sustitución de t= arcsenx
Mi duda está la final, cuando queda - tcost + sent + k, no sé cómo sustituir t= arcsent
Answers
Answer:
Explicación más abajo
Step-by-step explanation:
Integración Indefinida
La integral
[tex]I=\int \dfrac{x .arcsen\left(x\right)}{\sqrt{1-x^2}}[/tex]
Se resuelve con el cambio de variables:
t=arcsen(x)
Una vez hechos los cambios, la integral se resuelve en función de t:
[tex]I=sen(t)-t.cos(t)+C[/tex]
Hay que devolver los cambios para mostrarla en función de x.
El cambio de variables también se puede escribir:
x=sen(t)
Recordando que
[tex]cos(t)=\sqrt{1-sen^2(t)}[/tex]
Entonces:
[tex]cos(t)=\sqrt{1-x^2}[/tex]
Devolviendo los cambios:
[tex]I=sen(t)-t.cos(t)+C=x-arcsen(x)\sqrt{1-x^2}+C[/tex]
Es la respuesta correcta
Which of these graphs represents a function?
A)
A
B)
B
C)
С
D)
D
Answers
Solution: C represents a function
Using 3.14 for π, calculate the circumference and area of the circle below. Include your answer to the hundredths place.
Circumference:
feet and the area ft squared:
If you don't know the answer please don't respond need ASAP
Answers
Answer:
37.68
Step-by-step explanation:
PLZ HELP ME WITH THIS!!! I WOULD MARK YOU BRAINLIEST!!!
Answers
the answer will be 2.5 hope that helps you
Answer:
2.5 or in other terms 2 1/2
Step-by-step explanation:
Suppose a country's population at any time t grows in accordance with the rule dP dt = kP + I where P denotes the population at any time t, k is a positive constant reflecting the natural growth rate of the population, and I is a constant giving the (constant) rate of immigration into the country. If the total population of the country at time t = 0 is P0, find an expression for the population at any time t.
Answers
Answer:
[tex]\mathbf{P =\bigg (P_o +\dfrac{ I}{k} \bigg)e^{kt}- \dfrac{I}{k}}[/tex]
Step-by-step explanation:
Given that:
A country population at any given time (t) is:
[tex]\dfrac{dP}{dt}= kP+I[/tex]
where;
P = population at any time t
k = positive constant
I = constant rate of immigration into the country.
Using the method of separation of the variable;
[tex]\dfrac{dP}{kP+1}= dt[/tex]
Taking integration on both sides:
[tex]\int \dfrac{dP}{kP+I}= \int \ dt[/tex]
[tex]\dfrac{1}{k} log (kP + I) = t+c_1 \ \ \ here: c_1 = constant \ of \ integration[/tex]
[tex]log (kP + I) =k t+kc_1[/tex]
By applying the exponential on both sides;
[tex]e^{log (kP + I) }=e^{k t+kc_1 }[/tex]
[tex]KP+I = e^{kt} *e^{kc_1}[/tex]
Assume [tex]e^{kc_1 }= C[/tex]
Then:
[tex]kP + I = Ce^{kt}[/tex]
[tex]kP = Ce^{kt}-I[/tex]
[tex]P =\dfrac{ Ce^{kt}-I}{k} \ \ \---- Let \ that \ be \ equation \ (1)[/tex]
When time t = 0, The Total population of the country is also [tex]P_o[/tex]
[tex]P_o = \dfrac{Ce^{0(t)} -I}{k}[/tex]
[tex]P_o = \dfrac{Ce^{0} -I}{k}[/tex]
[tex]P_o = \dfrac{C-I}{k}[/tex]
C - I = kP₀
C = kP₀ + I
Substituting the value of C back into equation(1), we have:
[tex]P =\dfrac{ (kP_o+1)e^{kt}-I}{k}[/tex]
[tex]P =\dfrac{ (kP_o+1)e^{kt}}{k} - \dfrac{I}{k}[/tex]
[tex]\mathbf{P =\bigg (P_o +\dfrac{ I}{k} \bigg)e^{kt}- \dfrac{I}{k}}[/tex]
Can anyone solve this for me? If so please type the steps!
Answers
Answer:
It is a relflection.This is a reflection horizontally bc they are not dialatedor rotated. please vote brainliest
Step-by-step explanation:
Answer:
I don't get it the two triangles look the same
Step-by-step explanation:
Identify the graph that displays the speed of a car accelerating onto a highway until it reaches the speed limit, and then continuing on the highway at the speed limit.
Answers
Answer: D
Step-by-step explanation:
Graph D shows the car increasing speed over time, then, the flat line shows the car remains at a constant speed. In order for the scenario to apply, there needs to be a line parallel to the x-axis which shows a speed remaining the same over a given amount of time. D is the only graph which has this feature, thus this graph displays the scenario.
Lacey is buying a new car. She can get a station wagon, a truck, a hatchback, or a convertible. The outside paint comes in yellow or green. The seats can be covered with white leather or gray fabric. Given these choices, how many different combinations does Lacey have to choose from?
Answers
Step-by-step explanation:
4 different vehicles,
2 different paints,
2 different seats.
Total number of combinations = 4 * 2 * 2 = 16.
If point C lies between two points A and B such that AC=BC, then
Answers
Answer:
If point C lies between two points A and B such that AC=BC, then point C is the bisector of A and B, that means it is at right the centre.
help!!!!!please!!!!!!!
4x = 64 + 200
what is x
Answers
x=66
Step-by-step explanation:
4x = 200 + 64 > 4x = 264 > x= 66
Answer:
x=66
Step-by-step explanation:
Steps
4x=64+200
4x=264
x=66
What is the measurement of Angle x. please explain