Answers:
Problem 1) 40 degreesProblem 2) 84 degreesProblem 3) 110 degrees===============================================
Explanation:
For these questions, we'll use the inscribed angle theorem. This says that the inscribed angle is half the measure of the arc it cuts off. An inscribed angle is one where the vertex of the angle lies on the circle, as problem 1 indicates.
For problem 1, the arc measure is 80 degrees, so half that is 40. This is the measure of the unknown inscribed angle.
Problem 2 will have us work in reverse to double the inscribed angle 42 to get 84.
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For problem 3, we need to determine angle DEP. But first, we'll need Thales Theorem which is a special case of the inscribed angle theorem. This theorem states that if you have a semicircle, then any inscribed angle will always be 90 degrees. This is a handy way to form 90 degree angles if all you have is a compass and straightedge.
This all means that angle DEF is a right angle and 90 degrees.
So,
(angle DEP) + (angle PEF) = angle DEF
(angle DEP) + (35) = 90
angle DEP = 90 - 35
angle DEP = 55
The inscribed angle DEP cuts off the arc we want to find. Using the inscribed angle theorem, we double 55 to get 110 which is the measure of minor arc FD.
Natasha rolls a fair dice 66 times.
How many times would Natasha expect to roll an even number?
Answer:
IS NATASHA SINGLE LOL!
Step-by-step explanation:
Answer:
33 because 1,3 and 5 are off and 2,4 and 6 are even and if you half 6- it's 33 for even and 33 for odd
A student does daycare for 3 different families in the summer. The chart lists how much she charges each family per week.
Which equation can be used to model how much she charges each family every week?
m=80d
m=37d
m=40d
m=35d+10
Answer:
Step-by-step explanation:
Which pair of angles shares ray a as a common side
Find the value of each variable and the measure of each labeled angle (2x) (3x-42)
Step-by-step explanation:
Head opposite angles
2x= 3x-42
x= 42°
the angles are 84°
Each of the pairs of opposite angles made by two intersecting lines is called a pair of vertical angles. The value of x is 42 and the measure of the two given angles is 84° each.
What are vertical angles?Each of the pairs of opposite angles made by two intersecting lines is called a pair of vertical angles.
The two of the given angles are vertically opposite angles, therefore, the measure of the two given angles will be the same.
(2x)° = (3x - 42)°
2x = 3x - 42
Subtract 2x from both sides of the equation and add 42 to both sides of the equation,
2x - 2x + 42 = 3x - 42 - 2x + 42
42 = 3x - 2x - 42 + 42
42 = x
Therefore, the value of x is 42. Now, the measure of each angle can be written as,
(2x)° = 2(42) = 84°
(3x - 42)° = 3(42) - 42 = 84°
Hence, the value of x is 42 and the measure of the two given angles is 84° each.
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En una pension de perros hay tres perros que pesan 20kg 10kg y otro 5kg si se contempla que 70kg de alimento dura 2 meses¿que cantidad de alimento le toca a cada perro ? Problema de proporcionalidad inversa
Answer:
40kg
20kg
10kg
Step-by-step explanation:
The computation of the food each one is getting as follows
Total weights of all dogs
= 20 kg + 10 kg + 5kg
= 35 kg
And, the food is 70 kg
So, each one is getting
for 20 kg
= 70 ÷ 35 × 20
= 40 kg
For 10 kg
= 70 ÷ 35 × 10
= 20 kg
And, for 5 kg
= 70 ÷ 35 × 5
= 10 kg
Point (1,3) Slope: 2
Answer:
y=2x+1
Step-by-step explanation:
(1,3). y=mx+b or 3=2 × 1+b, or solving for b: b=3-(2)(1). b=1
find the length of the third side. If necessary,write in simplest radical form.
Answer:
4
Step-by-step explanation:
It’s a right triangle.
[tex]a^{2} +b^{2} =c^{2}[/tex]
[tex]10^{2} +x^{2} =(2\sqrt{29} ) ^{2}[/tex]
100+x^2=4(29)
16=x^2
x=4
2) Find the slope between the points (-2,4) and (7,3).
Answer:
It would be M=-1/9
Step-by-step explanation:
You would use the slope formula:
m= y2−y1/ x2−x1
=3-4/7--2
=-1/9
List the first five multiples of 30
What is the lowest common multiple of 12 and 30
Someone answer rlly quick!!!
I guess this will help you
Step-by-step explanation:
30 , 60 , 90 , 120, 150
,LCM of 12 and 30 is 60
Answer:
List the first five multiples of 30
The first 5 multiples of 30 are: 0, 30, 60, 90, 120.
What is the lowest common multiple of 12 and 30
for LCM (12,30) we find:
Prime factorization of 12 = 2 × 2 × 3.
Prime factorization of 30 = 2 × 3 × 5.
Using all prime numbers found as often as each occurs most often we take 2 × 2 × 3 × 5 = 60.
Therefore LCM (12,30) = 60
Please and thank you
Answer:
Nah its odd negative
Step-by-step explanation:
Rises to the left and falls to the right.
Please help me answer 7 and 9!!
Answer:
Step-by-step explanation:
What is the degree of (x-1)(x+5) ?
Determine whether the graph shows a positive correlation, a negative correlation, or no correlation. If there is a positive or negative correlation, describe its meaning in the situation. Domestic Traveler Spending in the U.S., 1987-1999 Spending (dollars in billions) A graph titled Domestic Traveler Spending in the U S from 1987 to 1999 has year on the x-axis, and spending (dollars in billions) on the y-axis, from 225 to 450 in increments of 25. Year Source: The World Almanac, 2003
Answer:
A
Step-by-step explanation:
ifunny is dankreloaded
The solution is, Option B Negative ,as time passes, speed decreases.
What is Correlation?Positive Correlation= With Increase in x value, y value also increases or vice versa, we call it positive correlation.
Negative Correlation= With Increase in x value, if y value decreases or vice versa, we call it negative correlation.
here, we have,
Description of the Graph
1. The Relation between , Speed and time is depicted on the graph.
2. Minute = x coordinate
Miles per hour= y coordinate
The points shown on the graph , describing the relationship are, (5,15),(10,13.8),(15,11),(20,10),(25,9.8).
There are two types of Correlation
Positive Correlation= With Increase in x value, y value also increases or vice versa, we call it positive correlation.
Negative Correlation= With Increase in x value, if y value decreases or vice versa, we call it negative correlation.
As you can see from the points plotted on the graph ,with increase in x value , y value decreases.
So it is negative correlation.
As, time passes, Speed Decreases, So it is a Negative Correlation.
Option B Negative ,as time passes, speed decreases.
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Hiya! Here's my question:
A baker uses 80 grams of salt for each batch of bread. Salt comes in a 32-kilogram package or a 1,700-gram package. Which size package should the baker buy so that no salt is left after all of the batches are made? Explain.
(I really need to answer this quickly, thanks! ^^)
wait i got it!
Since 18 kilograms are 18000 grams, you have
18000/30=600
and
800/30=26.6
So, with 18 kilograms of salt the baker can make exactly 600 batches with no leftovers, while with 800 grams of salt the baker can make 26 batches, with some leftovers.
In fact, 26 batches require
26 x 30 =780
grams of salt, and the remaining
800-780=20
grams of salt are not enought to prepare the next batch
Step-by-step explanation:
Can somebody help me with this?
2 x + 6 = 10
solve for x
Answer:
x=2
Step-by-step explanation:
2x2=4
4+6=10
Answer:
x=2
Step-by-step explanation:
with questions like this do the inverse
10-6=4
4÷2=2
2=x
i hope this helped xx
4 2– 3 × 2 × ( 7 3 ÷ 7 6 )
Answer:
36.24
Step-by-step explanation:
- 3 * 2 = - 6
73 / 76 = 0.96
0.96 * (-6) = -5.76
42 - 5.76 = 36.24
Which equation would make this system consistent and dependent?
2x+y=-4
6x-3y=12
y=3x-4
y=2x+5
Answer:
The second one
Step-by-step explanation:
Find the measure of angle A
Answer:
30
Step-by-step explanation:
(x + 37) + (x + 67) + 90 = 180 by the Triangle Angle Sum Theorem
(x + 37) + (x + 67) = 90
2x + 104 = 90
2x = -14
x = -7
(-7 + 37) = angle A
angle A = 30
Answer:
<a = 30
Step-by-step explanation:
x + 37 + x + 67 + 90 = 180
<A + <B + <C = 180
*take each angle, add them, and equal them to 180*
x + 37 + x + 67 + 90 = 180
*solve for x*
2x + 194 = 180
-194 -194
2x = -14
x = -7
<a = x + 37
<a = (-7) + 37
<a = 30
<b = x + 67
<b = (-7) + 67
<b = 60
<c = 90
Find the missing number to make these fractions equal.
3/4 = blank/8
Answer:
6/8
Step-by-step explanation:
You can multiply the denominator of 4 by two to get 8. But you need to do the same to the numerator, which gives you 6.
Answer:
6/8
Step-by-step explanation:
you multiply both numbers by 2
There of the ABCD are given. fine the coordinates of point D. A(3, 6) B(6,3) D(x, y)
Answer:
A. (3,2) . I recommend using desmos to find the coordinates
9514 1404 393
Answer:
A. (3, 2)
Step-by-step explanation:
The midpoints of the diagonals are the same point, so you have ...
X = (A +C)/2 = (B +D)/2
A +C = B +D . . . . . . . multiply by 2
A +C -B = D . . . . . . . subtract B
The coordinates of D are ...
D = (3, 6) +(6, 3) -(6, 7) = (3+6-6, 6+3-7)
D = (3, 2)
What is the missing length?
Answer:
as it is rectangular in shape. so the area of the rectangle =length *breadth =5*x=40
x=40/5=8metres
the product of lisa and her twin brother is 36 and their sum is 36 how old can lisa be
Answer:
6 years old
Step-by-step explanation:
Since her twin brother is the same age as her, you are looking for two equal factors whose product is 36. The square root of 36 is 6, so the answer is they are both 6 years old.
What would you multiply by to find 28.3% of a number?
Answer:
0.283
Step-by-step explanation:
Answer:
100
Step-by-step explanation:28.3% times 100
Determine whether each graph is the graph of a function
Write YES or NO
Please Help
Answer:
yes no yes. I was a little skeptical about 18 but nevermind
I need to find the domain and range. Please help me
Answer:
(-infinity, -1) U (-1, 1) U (1, infinity)
(-4, -infinity) U (infinity, infinity) U (-infinity, -4)
Step-by-step explanation:
X = 0
Solve.
2.1x - (1 + 2x) = 5.3
Answer:
-1=5.3
not sure if this is right; it should be though
Step-by-step explanation:
2.1(0) - (1+2(0))= 5.3
-(1)=5.3
-1=5.3
Find the vertex show work
Will mark as brainlist
Answer:
[tex]x = \frac{6 + \sqrt{ - 12} }{6} [/tex]
and
[tex]x = \frac{6 - \sqrt{ - 12} }{6} [/tex]
it's not has a Real number
Step-by-step explanation:
hope it helps you ☺️
what is 67 divided by 9
Answer:
67 ÷ 9 = 7.444
Use the algebraic expression below to identify the following parts of the
expression. VARIABLES *
- 3x – 2x + 16 + 5 – 8 + x
Answer:
−4x+13
Step-by-step explanation:
collect like terms: (−3x−2x+x)+(16+5−8)
Answer:
-3x-2x-x+16+5-8=-4x13