Answers
Answer:
120° , 80° , 90°
Step-by-step explanation:
The sum of the inner angles of a triangle is one hundred and eighty degrees. and as the diagram shows, The AB is equal to AC so angle ABC is equal to angle ACB so Angle A is 180°-(30°×2)=120°
you can get the second follow the above steps
and the third one is 2x+x+x=180°
so 4x=180°
so x=45°
so 2x=90°
Q.17) Given info:- In ∆ABC , AB = AC where, angle A = x°, angle B = 30°and angle C = ?°. Find the value of X in triangle ABC ?
Explanation:
Given that
ABC is a triangle
angle A = x°
angle B = 30°
angle C = ?°
And
AB =AC
We know that
In a triangle Angles opposite to equal sides are equal.
⇛Opposite angle to AB = Opposite angle to AC
⇛angle B = angle C
⇛angle B & C = 30°
We know that
The sum of all angles in a triangle is 180°
⇛ angle A + angle B + angle C = 180°
⇛30° + x° + 30° = 180°
⇛60° + x° = 180°
⇛x° = 180°÷60 = 180°:60
⇛x° = 180°/60
⇛x° = 3°
Now,
⇛angle A = x = 3°
⇛angle B = 30°
⇛angle C = 30°
Answer: The value of x for the given problem is 3°
Q.18) Given info:- In ∆ABC , AB = AC where, angle A = x°, angle B = 50°and angle C = ?°. Find the value of X in triangle ABC ?
Explanation:
Given that
ABC is a triangle
angle A = x°
angle B = 50°
angle C = ?°
And
AB =AC
We know that
In a triangle Angles opposite to equal sides are equal.
⇛Opposite angle to AB = Opposite angle to AC
⇛angle B = angle C
⇛angle B & C = 50°
We know that
The sum of all angles in a triangle is 180°
⇛ angle A + angle B + angle C = 180°
⇛ x° + 50°+50° = 180°
⇛x° + 100 = 180°
⇛x° = 180°÷100° = 180°:100°
⇛x° = 180°/100
⇛x° = 18°
Now,
⇛angle A = x = 18°
⇛angle B = 50°
⇛angle C = 50°
Answer: The value of x for the given problem is 18°
Q.19) Given info:- In ∆ABC , AB = AC and angle A = 2x°, angle B = x°, angle C = x°. Find the value of X in triangle ABC ?
Explanation:
Given that
ABC is a triangle
angle A = 2x°
angle B = x°
angle C = x°
And
AB =AC
We know that
In a triangle Angles opposite to equal sides are equal.
⇛Opposite angle to AB = Opposite angle to AC
⇛angle B = angle C
⇛angle B & C = x°
We know that
The sum of all angles in a triangle is 180°
⇛ angle A + angle B + angle C = 180°
⇛x° + 2x° + x° = 180°
⇛2x° + 2x° = 180°
⇛4x° = 180°
⇛x° = 180°÷4 = 180°:4
⇛x° = 180°/4
⇛x° = 45°
Now,
⇛angle A = 2x = 2(45) = 90°
⇛angle B = 45°
⇛angle C = 45°
Answer: The value of x for the given problem is 45°
Related Questions
Jill has a pail of water that holds 612 quarts. She needs to give her plants 18 quart each. How many of her plants can she water?
Enter the correct answer in the box.
Answers
Answer:
34
Step-by-step explanation:
Answer:
34
Step-by-step explanation:
Because 612 quarts divided by 18 quarts for each plant is 34. So, it's 34 plants.
Can you figure out if the slopes are parallel, perpendicular or neither and type the correct code? Please remember to type in ALL CAPS with no spaces.
Answers
Answer:
1. C, 2. A, 3. C, 4. B
Step-by-step explanation:
Parallel: slopes are equal. In problem 2, the slopes appear to be 2 ("rise over run") One line passes through points (2, 1) and (3, 3) -- y increases by 2 if x increases by 1. The other line passes through points (0, 3) and (1, 5) -- y increases by 2 if x increases by 1. The lines have the same slope.
Perpendicular: slopes are opposite reciprocals (they have opposite signs). In problem 4, that happens: 2/3 and -3/2. That is not the relationship between slopes in problem 3. 1/3 and 3 are not opposite reciprocals.
Corrected! #4 is B (perpendicular)
7.90×10^−2/1.0×10^−5
Answers
Answer:
[tex] \frac{7.90 \times {10}^{ - 2} }{1.0 \times {10}^{ - 5} } \\ = 7.9 \times {10}^{5 - 2} \\ = 7.9 \times {10}^{3} [/tex]
La temperatura de un congelador bajó de 3 °C a −9 °C en 3 horas. Si la temperatura del congelador bajó en la misma cantidad de grados cada hora, ¿qué temperatura tenía el congelador al completarse la primera hora?
Answers
En este problema observamos que la temperatura del congelador desciende linealmente con el paso del tiempo, es decir, conforme al siguiente modelo:
[tex]T(t) = T_{o} + \frac{\Delta T}{\Delta t}\cdot t[/tex] (1)
Donde:
[tex]T_{o}[/tex] - Temperatura inicial, en grados Celsius.[tex]\Delta T[/tex] - Cambio total de la temperatura, en grados Celsius.[tex]\Delta t[/tex] - Cambio total en el tiempo, en horas.[tex]t[/tex] - Tiempo, en horas.Si sabemos que [tex]T_{o} = 3\,^{\circ}C[/tex], [tex]\Delta T = -12\,^{\circ}C[/tex]. [tex]\Delta t = 3\,h[/tex] y [tex]t = 1\,h[/tex], entonces la temperatura del congelador al completarse la primera hora es:
[tex]T(1\,h) = 3\,^{\circ}C + \left(\frac{-12\,^{\circ}C}{3\,h} \right)\cdot (1\,h)[/tex]
[tex]T(1\,h) = -1\,^{\circ}C[/tex]
El congelador tenía una temperatura de -1 °C a la primera hora.
Invitamos cordialmente a ver esta pregunta sobre temperaturas: https://brainly.com/question/21677542
[tex]\sqrt{x}(-5-(-8))x^{2} +(-5-(-7))x^{2}[/tex]
Answers
[tex]\sqrt{x} (-5-(-8))x^{2} +(-5-(-7))x^{2} = 3.x^{2} \sqrt{x} +2x^{2} = x^{2} (3\sqrt{x} +1)[/tex]
ok done. Thank to me :>
Multiply as indicated. Write the product in standard form.
(2+i)^2
Answers
Answer:
3 + 4i
Step-by-step explanation:
Use an equation to find the value of k so that the line passing through (−2,k) and (2,0) has a slope of −1.
Answers
Answer:
k = 4
Step-by-step explanation:
Calculate the slope m using the slope formula, then equate to - 1
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, k ) and (x₂, y₂ ) = (2, 0 )
m = [tex]\frac{0-k}{2-(-2)}[/tex] = [tex]\frac{-k}{2+2}[/tex] = [tex]\frac{-k}{4}[/tex] , then
[tex]\frac{-k}{4}[/tex] = - 1 ( multiply both sides by 4 )
- k = - 4 ( multiply both sides by - 1 )
k = 4
how do you solve this linear programming inequality equation?
1 > 3P + 10
Answers
Answer:
-3 > P
Step-by-step explanation:
1 > 3P + 10
Subtract 10 from each side
1-10 > 3P + 10-10
-9 > 3P
Divide each side by 3
-9/3 > 3P/3
-3 > P
Find three rational numbers lying between -2/5 and -1/5
Answers
Answer:
0, 1/4, -1/4
Step-by-step explanation:
[plz help 20 points
i really need help.
Answers
Answer:
its A
Step-by-step explanation:
What is the solution to -4(8 - 3x) >_6x -8?
O x >_-4/3
O x<_-4/3
O x>_4
Ox<_4
Answers
First I distributed the -4
Then I isolated all of the x on one side
Then I divided everything by 6 to get the value (greater than or equal to) of one x
sorry last one!!
3 × x[tex]x^{2}[/tex] × y × 4z × x × 2y × z
Answers
[tex]\red{\bold{Answer:}}[/tex]
z1 Multiplied by z1 = z(1 + 1) = z2
[tex]\color{skyblue}{\boxed{\tt{Final\:Answer}}}[/tex]
= (3•2³x3y2z²)
Which of the following is 3.761 written in expanded notation?
A) (3 x 1) + (7 x 110) + (6 x 1100) + (1 x 11000)
B) (3 x 1) + (7 x 110) + (6 x 110) + (1 x 1100)
C) (3 x 1) + (7 x 110) + (1 x 1100) + (6 x 11000)
D) (3 x 1) + (7 x 110) + (6 x 110) + (1 x 1100)
WORTH 40 POINTS
Answers
Answer:
To write a number in expanded form, divide it into digits and display the value of each one. As a result, 144 would be 100 + 40 + 4 = 144.
Step-by-step explanation:
how do i solve -3x--3+8x-24=6x+7-5x
Answers
Answer:
[tex]x=7[/tex]
Step-by-step explanation:
[tex]-3x--3+8x-24=6x+7-5x[/tex]
Two negative signs equate to a positive sign, so we can write [tex]--3[/tex] as just [tex]3[/tex]:
[tex]-3x+3+8x-24=6x+7-5x[/tex]
Add up similar terms:
[tex]5x-21=x+7[/tex]
Add 21 to both sides:
[tex]5x-21+21=x+7+21[/tex]
[tex]5x=x+28[/tex]
Subtract x from both sides:
[tex]5x-x=x+28-x[/tex]
[tex]4x=28[/tex]
Divide both sides by 4:
[tex]\frac{4x}{x} =\frac{28}{4}[/tex]
[tex]x=7[/tex]
PLEASE HELP IT’S DUE TMR!!
Answers
4856
1.07
12.9
7.00
0.00199 (199)
0.000660 (660)
:)
help please!!!!!!!!!
Answers
Answer:
c
Step-by-step explanation:
my mom had a abortion when i was 6
A parking garage charges $5. 50 to park for 4 hours and $7. 75 to park for 7 hours. If the cost is a linear function of the number of hours parked, what is the cost to park for 3 hours? $2. 25 $2. 50 $3. 25 $4. 75.
Answers
Step-by-step explanation:
So we are given 2 coordinates.
so in a linear equation, we have the given function:
y=mx+b
thus we should have an x value and a y value.
So let's set x to be the hours and y be the cost
With 2 sets of coordinates, we can solve for the slope (m in the function) of the function using rise/run or y1-y2/x1-x2
so with that being said,
7.75-5.5/7-4=m
2.25/3=m
.75=m
This is our slope.
Our formula will look like this: y=0.75x
Now we can determine how much it will cost in 3 hours by changing x to be 3 since x is the number of hours parked
y=0.75(3)
y=2.25
The cost to park for 3 hours will be $2.25
Hope This Helps :D
An experiment consists of drawing 1 card from a standard​ 52-card deck. What is the probability of drawing a club​?
Answers
Answer:
25%
Step-by-step explanation:
25%
there are 4 suits, and only 1 is of clubs
1/4 = 25%
Aaliyah has a points card for a movie theater,
• She receives 30 rewards points just for signing up.
• She earns 12.5 points for each visit to the movie theater.
• She needs at least 125 points for a free movie ticket.
Write and solve an inequality which can be used to determine v, the number of visits
Aaliyah can make to earn her first free movie ticket.
Answers
Answer:
30 +12.5v ≥ 125v ≥ 7.6Step-by-step explanation:
Aaliyah wants her accumulated points to be at least 125. Her accumulated points will be ...
(reward points) + (visit points)×(number of visits)
30 +12.5v ≥ 125 . . . . . the inequality
__
12.5v ≥ 95 . . . . . . . subtract 30
v ≥ 7.6 . . . . . . . . divide by 12.5; the solution to the inequality
Aaliyah will need to make 8 visits to earn her first free ticket.
Given: Two distinct circles that are tangent to each other at a common point. How many tangent lines can be drawn that touch both circles?
3
1
2
Answers
there are only 3 tangent lines can be drawn that touch both circles
ok done. Thank to me :>
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!3
Answers
if that’s wrong then try B
i need help i can’t understand how to solve it so pls help
Answers
=====================================================
Work Shown:
1st term = -42nd term = -2*(1st term)+6 = -2*(-4)+6 = 143rd term = -2*(2nd term)+6 = -2*14+6 = -224th term = -2*(3rd term)+6 = -2*(-22)+6 = 50The first four terms are: -4, 14, -22, 50
The idea is to start with the first term (-4) and use the template [tex]\text{nth term} = -2*(\text{previous term}) + 6[/tex] to generate each new term. We multiply the previous term by -2, then add on 6. This is exactly what the recursive equation [tex]a_n = -2(a_{n-1})+6[/tex] is indicating.
7.
Adam purchased 52 litres of gas for $58.71. How much was one litre of gas? (Round to
three decimals)
Answers
Answer:
$1.129
Step-by-step explanation:
A piece of fabric 78.25cm long was cut from a 200cm long piece to make a shirt. What percent of the fabric was left behind?
Answers
Answer:
39.125 %
Step-by-step explanation:
you use the cross multiplication method:
200cm = 100%
78.25 = ???
78.25 × 100
——————— = 39.125%
200
if you are willing to check your answer:
39.125 × 200
———————–— = 78.25 cm
100
I HOPE THIS WOULD HELP!
I’m so confused on how to do this -?
Answers
Answer:
256
Step-by-step explanation:
any number to the 0 power equals 1, so r^0 equals 1
then, you have (4(1))^4
4×1=4
4^4=256
Answer:
3328
Step-by-step explanation:
13(4r^0)^4=13*44= 13*(4
*
4
*
4
*
4
)
=
3328
Zoom in so you can see it
I will give you 50 point and brain list
Answers
Answer:
so this is what it should be let me know if this Is wrong
please help me i will give brainliest if you get the answer correct!!
Answers
the answer is the third option f(2)<g(2)
if we input in 2 in both equations for f(x) we get 48 and for g(x) we get 175
As I was planting my sunflowers, I had to use 2 different sized flower pots. Now, some are very tall and others are not! Why would this be?
just wanted to know if you can answer
Answers
Answer:
Step-by-step explanation:
There are differents sizes of pots because there are different sizes of flowers and plants, some need more space to grow. :)
Answer:
When seedlings are a 3-6 inches tall, transplant to individual pots, with 1 plant per 8 inch pot. Larger pots (15-inch diameter) can have up to 3 plants.
Step-by-step explanation:
PLZ HELPPP ME
Point B has coordinates (3,2). The x-coordinate of point A is 0 . The distance between point A and point B is 5 units. What are the possible coordinates of point A?
Answers
Answer:
A (0, - 2 ) or A (0, 6 )
Step-by-step explanation:
Using the distance formula
d = [tex]\sqrt{(y_{2}-y_{1})^2+(x_{2}-x_{1})^2 }[/tex]
with (x₁, y₁ ) = B(3, 2) and (x₂, y₂ ) = A(0, y )
AB = [tex]\sqrt{(0-3)^2+(y-2)^2}[/tex]
= [tex]\sqrt{(-3)^2+(y-2)^2}[/tex]
= [tex]\sqrt{9+(y-2)^2}[/tex]
Given AB = 5 then equating gives
[tex]\sqrt{9+(y-2)^2}[/tex] = 5 ( square both sides )
9 + (y - 2)² = 25 ( subtract 9 from both sides )
(y - 2)² = 16 ( take square root of both sides )
y - 2 = ± [tex]\sqrt{16}[/tex] = ± 4 ( add 2 to both sides )
y = 2 ± 4
Then y = 2 - 4 = - 2 or y = 2 + 4 = 6
Possible coordinates of point A are
A (0, - 2 ) or A (0, 6 )
Find the equation of the line L.
Answers
Answer:
y = ([tex]-\frac{1}{2}[/tex])x + 4
Step-by-step explanation:
(x1,y1) = (0,4) ; (x2,y2) = (8,0)
The equation will look like y=mx+b
Slope m = [tex]\frac{rise}{run}[/tex] = [tex]\frac{y2-y1}{x2-x1}[/tex] = [tex]\frac{0-4}{8-0}[/tex] = [tex]\frac{-4}{8}[/tex] = [tex]-\frac{1}{2}[/tex]
Next, substitute either x1y1 or x2y2 (it's gonna give the same answer anyways) and m to the equation y=mx+b to find b.
y=mx+b
0 = ([tex]-\frac{1}{2}[/tex])8 + b
0 = -4 +b
0+4 = -4 +4 +b
b=4
Then substitute b and m to the equation y=mx+b
y = mx + b
y = ([tex]-\frac{1}{2}[/tex])x + 4