The measure of the ∠1 is 35 degrees.
How to determine the angleit is important to know that the measure of an angle with its vertex outside the circle is half the difference of the intercepted arcs.
Also, the angle subtended by the arc at the center of the circle is the angle of the arc
From the diagram, we have
m ∠ of external angle = half of the difference of arc angles
The arc angles are
106°36°m ∠ of external angle = ∠ 1
Let's substitute the angles
∠1 = [tex]\frac{106 - 36}{2}[/tex]
∠ 1 = [tex]\frac{70}{2}[/tex]
∠ 1 = 35°
We can see that the external angle 1 measures 35 degrees.
Note that the complete image is added.
Thus, the measure of the ∠1 is 35 degrees.
Learn more about a circle here:
https://brainly.com/question/15673093
#SPJ1
Simplify the expression
Answer:
-9.8n + 10.9
Step-by-step explanation:
2.9 + 8 = 10.9
-4n + -5.8n = -9.8n
The function g is defined by g(x) = 3x+4.
Find g(z+3).
I really need help with these Aleks assignments, can someone help me with them?
Answer:g(x) = (x+3)/(x2-4)
The domain refers to all of the x values that the function can take on. In a rational expression like the one above, we have to be careful that the denominator is never 0, since division by 0 is undefined. We can factor the denominator of g(x) as follows:
g(x) = (x+3)/((x+2)(x-2)
The denominator will be zero when x = 2 or -2. Otherwise, g(x) is defined on all other values of x. So the domain of g(x) is "x = all x not equal to -2 or 2". In interval notation, the domain is:
(-∞,-2)U(-2,2)U(2,+∞)
On a number line, draw it as follows:
-∞ <======o=====o=======> +∞
-2 2
Step-by-step explanation:
35x+0.10(100-x)
what’s the answer for this i’ve tried but can’t figure it out someone help me!!!
Answer:
34.9x+10
Step-by-step explanation:
Answer: solve for X
{
y=0,
y∈R,
x
=−1
x=0
Step-by-step explanation:
SOMEONE PLEASE HELP
and please explain it so I won't get confused further on
Una araña de 75g de masa está suspendida de la telaraña que tejio poniéndola en el techo, cómo se muestra en la siguiente figura.
¿cuál es el valor de las tensiones en los hilos de las telarañas unidos al techo?
100 gallon tbh rn because the spider ddint take much
please help me will give brainliest
Answer:
82°
Step-by-step explanation:
[tex] \triangle ABC\sim \triangle PQR... (given) [/tex]
[tex] \therefore m \angle Q = m \angle B... (cast) [/tex]
Therefore,
8x + 50 = 3x + 70
8x - 3x = 70 - 50
5x = 20
x = 20/5
x = 4
[tex] m \angle Q [/tex] = 8x + 50 = 8*4 + 50 = 32 + 50 = 82°
Simplify. −12x−15−5x+310+32x Enter your answer in the box. Do not use decimals in your answer. 19 points!!! plz help!
Answer:
25x+295
Step-by-step explanation:
-12x-5x+32x=25x
-15+310=295
Answer:
-4x + 1/10
Step-by-step explanation:
Because I did the test. hope you have a lovley day at K12
Use the ratio table to solve the percent problem.
What percent is 6 out of 30?
2%
6%
20%
30%
A table displaying Part in one column and Whole in the other. The part column contains 6 and a question mark. The whole column contains 30 and 100.
Answer:
20%└|∵|┐♪└|∵|┐♪└|∵|┐♪└|∵|┐♪
Step-by-step explanation:
denada ┌(・。・)┘♪
Answer:
20%
Step-by-step explanation:
the point P = (x, -5/7) lies on the unit curcle shown below. What is the value of x in the simplest form?
Answer:
[tex]x =\± \frac{2\sqrt{6}}{7}[/tex]
Step-by-step explanation:
The question has missing details as the unit circle is not shown, However, I'll solve on a general terms.
Given
[tex]P = (x,-\frac{5}{7})[/tex]
Required
Determine the possible value of x
Since point p lies on the unit circle, we'll solve this question using the following unit circle formula:
[tex]x^2 + y^2 = 1[/tex]
Substitute -5/7 for y
[tex]x^2 + (-\frac{5}{7})^2 = 1[/tex]
[tex]x^2 + \frac{25}{49} = 1[/tex]
Collect Like Terms
[tex]x^2 =1- \frac{25}{49}[/tex]
Take LCM
[tex]x^2 =\frac{49 -25}{49}[/tex]
[tex]x^2 =\frac{24}{49}[/tex]
Take the square root of both sides
[tex]x =\± \sqrt{\frac{24}{49}}[/tex]
[tex]x = \±\frac{\sqrt{24}}{7}[/tex]
[tex]x = \±\frac{\sqrt{4*6}}{7}[/tex]
Split
[tex]x = \±\frac{\sqrt{4}*\sqrt{6}}{7}[/tex]
[tex]x =\± \frac{2*\sqrt{6}}{7}[/tex]
[tex]x =\± \frac{2\sqrt{6}}{7}[/tex]
I need to find what x
Answer:
Step-by-step explanation:
Add the 21 then divide by 2
Answer:
x = 16, x = -7
Step-by-step explanation:
The question is;
35 * 4 = ( x - 7 ) ( x - 3 )
Combine like terms on one side;
140 = ( x - 7 ) ( x - 3 )
Distribute, remember to multiply every term with one another;
140 = [tex]x^{2}[/tex] - 3x - 7x + 21
Combine like terms;
140 = [tex]x^{2}[/tex] - 10x + 21
Inverse operations;
140 = [tex]x^{2}[/tex] - 10x + 21
-21 -21
119 = [tex]x^{2}[/tex] - 10x
Factor;
119 = x ( x - 10 )
At this point it is fairly obvious that;
x = 16, x = -7
Note; One could have used a multitude of methods to solve this problem, one could have factored, completed the square, or used the quadratic formula, this method was simply chosen because it is easy to explain
Work out, giving your answer in its simplest form:
2 1/4 x 3 1/5
Answer:
36/5 or 7 1/5 or 7.2
(These are all different forms of the same answer)
Method:
2 1/4 = 9/4
3 1/5 = 16/5
9/4 × 16/5 = 144/20
144/20 = 36/5
In ionic bonding, it tends to do which of the following
Answer:
Transfer of electrons
Form Crystals
High boiling & melting points
Dissolve in water
Good conductor of electricity
is the answer 84.2??? if not pls explain THANK U ITS GEOMETRY
in the presidential election of 1860, 39.9% of the voters voted for abraham lincoln and 29.4% of the voters voted for stephen douglas. what percent voted for other candidates?
Answer:
It's 30.7%
Step-by-Step Explanation:
Please help!!!!!! I will give brainliest!!
Step-by-step explanation:
6 = 3(-1) +9 yes this is true
5(-1) +6 = 1 Yes this is true
so yes it's a solution because it works in both equations.
okay so last time my file did not show up so lets try again
Answer:
you are correct
Step-by-step explanation:
5 - 2(x + 2)
Since parenthesis comes first in PEMDAS, distribute 2
5 - 2x - 4 = 1 - 2x
Please help me find x
you have to find the angles inside the triangle first so
- 180-109 = 71° (angles on a straight line add up to 180°)
- 55° (vertically opposite angles)
71+55= 126
180-126= 54
x=54°
HELP I NEED HELP ASAP
Answer:
C
Step-by-step explanation:
Answer:
exponential;increase
Step-by-step explanation:
answer is C
please helppppppp
give u 10 pts
Answer:
y = x / -4
Step-by-step explanation:
Hope that helps!
Does the equation 5(x−3)+6=5x−9 have one, none, or an infinite amount of solutions?
When plotting points on the coordinate plane below, which point would lie on the x-axis?
(6,0)
(0,2)
(3,8)
(5,5)
(Help me please)
Answer:
(6,0)
Step-by-step explanation:
If the y-coordinate is 0, it is lying on the x-axis
Same with the x-coordinate. If it is 0, it is lying on the y-axis
What number is 40% of 15? Round to the nearest hundredth
Answer:
6Step-by-step explanation:
10% of 15 = 1.5x4=6Which expression is equivalent to 4(6x + 12)
a) 68
b) 68x
c) 24x + 48
d) 24x + 12
Answer:
hello! :) have a good day!
C). 24x + 48
Answer:
c
Step-by-step explanation:
4(6x+12)
4(6x)+4(12)
24x+48
help please
-8+(-5)+9+11=
Answer:
=7
Step-by-step explanation:
= -8+(-5)+9+11
= -8-5+20
= -13+20
= 7
Trevon is buying a car. He is borrowing $12,000 from the bank at a rate of 5% for 4 years. At the end of 4 years, how much interest did Trevon pay?
$24,000
$24,000
$2,400
$2,400
$4,800
$4,800
$600
4. The area of Mr. Badu's rectangular farm is
5500 cm', its width is 11 m. Find the length
of the farm.
Answer:
50m
Step-by-step explanation:
5500cm=550m
Area=length*width
550=length*11
length=550/11=50
a cow is tied to a pole fixed at the mid-point of a side of a square field of side 40m by means of a 14m long rope find the area that cow can graze pls explain
Step-by-step explanation:
The area that cow can graze is in the form of semicircle.
Radius of semicircle
Length of rope =14 m
Required area = 1/2 ×πr
=1/2×22/7×r^2
=1/2×22/7×14×14
=308m2
The table and equation below show the proportional relationship between time, in seconds, x, and distance traveled, in feet, y, for two remote-control cars Car 1 X |y
15 75
17 85
21 105
Car 2 :y = 10x
Which statement is true about the speeds of the two cars? A )Car 1 is traveling faster than Car 2. B )Car 2 is traveling faster than Car 1. C) The two cars are traveling at the same speed. D) The speeds cannot be compared because there is not enough information about car 2
Answer:
Step-by-step explanation:
Car 2 is traveling faster than Car 1. Option B is correct.
Given that,
The table and equation below show the proportional relationship between time, in seconds, x, and distance traveled, in feet, y, for two remote-control cars.
Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.
here,
Speed of the car 1,
= 85 - 75 / 17 - 15
= 10 / 2
= 5 feet/second
Speed of the car 2,
y = 10x
Where 10 is the speed of the car 2 feet per second.
So,
Speed of the car 2 is faster than car 1.
Thus, Car 2 is traveling faster than Car 1. Option B is correct.
Learn more about speed here:
https://brainly.com/question/7359669
#SPJ5
FIND THE DOMAIN AND RANGE!!!!
The tree frog population in your back yard doubles every two weeks. Currently, there are 10 frogs in your back yard. Assuning that there are 4
weeks in a month how many tree frogs will there be in 3 months?
Answer:
there would be 40,960 tree frogs i think
Step-by-step explanation:
Answer:
640 tree frogs
Step-by-step explanation:
If 1 month = 4 weeks
3 months = 12 weeks (3x4)
After 2 weeks the frogs double to 20
After 4 weeks the frogs double to 40
6 weeks, it doubles to 80
8 weeks, it's 160
10 weeks it's 320
12 weeks, it's 640