Answer:
LM = 14
Step-by-step explanation:
LM = AC/2
LM = 28/2
LM = 14
Hope this helps!
The measure of LM is 14 cm.
What is Mid - segment?A triangle midsegment is a line segment that connects the midpoints or centres of two opposite or adjacent triangle sides.
The midsegment theorem asserts that a line segment connecting the midpoints of any two sides of a triangle is parallel to and half of the third side.
According to mid segment is
LM = AC/2
We have AC = 28 cm
Now, substitute the value of AC we get
LM = 28/2
LM = 14
Thus, the measure of LM is 14 cm.
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solve 14a-3b+9c=18 for a. Do not use a= in your answer
Answer:
9/7 + 3/14b - 9/14c
Step-by-step explanation:
See image below:)
There were 436 tickets purchased for a major league baseball game. The general admission tickets cost $6.50 and the upper reserved tickets cost $8.00. The total amount of money spent was $3284.00. How many of each kind of ticket were purchased?
How many general admission tickets were purchased? ____
How many upper reserved tickets we purchased? ___
Answer:
How many general admission tickets were purchased? __136__
How many upper reserved tickets we purchased? _300_
Step-by-step explanation:
Let the number of general tickets = g.
Let the number of reserved tickets = r.
6.5g + 8r = 3284
g + r = 436
6.5g + 8r = 3284
(+) -8g + -8r = -3488
--------------------------------
-1.5g = -204
g = 136
g + r = 436
136 + r = 436
r = 300
Answer:
How many general admission tickets were purchased? __136__
How many upper reserved tickets we purchased? _300_
Answer:
136 general admission tickets were purchased
300 upper reserved tickets were purchased
Step-by-step explanation:
This is a classic system of equations problem. Let the number of general admission tickets sold be [tex]g[/tex] and the number of reserved tickets sold be [tex]r[/tex]. We can write the following system of equations:
[tex]\begin{cases}6.50g+8.00r=3284,\\g+r=436\end{cases}[/tex]
Multiply the second equation by -8 and add both equations to isolate [tex]g[/tex]:
[tex]-8(g+r)=-8(436),\\-8g-8r=-3488,\\\begin{cases}6.50g+8.00r=3284,\\-8g-8r=-3488\end{cases},\\-1.5g=-204,\\g=\frac{-204}{-1.5}=\boxed{136}[/tex]
Now substitute [tex]g=136[/tex] into [tex]g+r=436[/tex] to find the number of reserved tickets sold:
[tex]g+r=436,\\136+r=436,\\r=436-136=\boxed{300}[/tex]
what are the two types of probability
Answer:
The two "types of probability" are: 1) interpretation by ratios, classical interpretation; interpretation by success, frequentist interpretation. The third one is called subjective interpretation.
HELP HELP HELP!!!!!!!!!!!!!!!!!!!
Answer: the top one
Step-by-step explanation:
A 16 ft ladder leans against the side of a house. The bottom of the ladder is 9 ft away from the side of the house. Find x, the angle of elevation of the ladder. Round your answer to the nearest tenth of a degree. (plz help listing BRAINLIST)
Answer:
55.8
Step-by-step explanation:
cos(x)=9/16
x=55.8
The angle of elevation of the ladder is approximately 60.5 degrees.
To find the angle of elevation (x) of the ladder, we can use trigonometry. The ladder, the side of the house, and the ground form a right triangle. The length of the ladder is the hypotenuse of the right triangle, and the distance from the bottom of the ladder to the house is one of the legs.
Using the tangent function:
tan(x) = opposite/adjacent
tan(x) = 16 ft / 9 ft
Now, solve for x:
x = arctan(16/9)
Using a calculator, we find
x ≈ 60.5 degrees
So, the angle of elevation of the ladder is approximately 60.5 degrees.
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A spinner is divided into 8 equal sections where 3 are black, 4 are yellow, and I is red. If it is spun randomly, what is the probability of it landing either on a yellow or a red section?
Given:
A spinner is divided into 8 equal sections where 3 are black, 4 are yellow, and 1 is red.
To find:
The probability of it landing either on a yellow or a red section.
Solution:
We have,
Total number of sections = 8
Black sections = 3
Yellow sections = 4
Red sections = 1
Now,
Either yellow or red sections = 4 + 1
= 5
Now, the probability of it landing either on a yellow or a red section is:
[tex]\text{Required probability}=\dfrac{\text{Either yellow or red sections}}{\text{Total number of sections}}[/tex]
[tex]\text{Required probability}=\dfrac{5}{8}[/tex]
Therefore, the required probability is [tex]\dfrac{5}{8}[/tex].
Oliver wants to compare the number of hours 7th graders
and 8th graders play video games per week. He makes a
box-and-whisker plot for each data set.
8th Grade
7th Grade
10
12
14
16
18
20
22
24
26
28
30
32
Which value do you know is lesser for 7th grade than 8th
grade?
(a[tex]x^{2} x^{2} 3[/tex]
Answer:
[tex]3a {x}^{4} [/tex]
Step-by-step explanation:
remeber that idical laws
[tex] {x}^{a} \times {x}^{b} = {x}^{a + b} [/tex]
Mr. Jackson lengthened the fence along the back of his yard. Before he added 130 feet, the fence was 300 feet long. He divided the fence into 5-foot sections.
How many 5-foot sections does he have now?
A. 86
B. 60
C. 26
D. 430
is it A?
Answer:
The answer is A, 86 sections.
Step-by-step explanation:
Step one : Add the 130 feet on to the 300 feet to find the new length of the fence.
130 + 300 = 430
Step two : find how many 5 foot sections he has now, divide 430 by 5.
430/5 = 86
Mr. Jackson can divide the new fence into 86 5-foot sections.
The answer is A, 86 sections.
Help please, it’s for average rate of change.
Answer in fraction form = -3/2
Answer in decimal form = -1.5
=========================================
Work Shown:
[tex]m = \frac{g(b)-g(a)}{b-a}\\\\m = \frac{g(1)-g(-3)}{1-(-3)}\\\\m = \frac{0-6}{1-(-3)}\\\\m = \frac{0-6}{1+3}\\\\m = \frac{-6}{4}\\\\m = -\frac{3}{2}\\\\m = -1.5\\\\[/tex]
Effectively, we're finding the slope through the points (-3, 6) and (1, 0)
The g(b)-g(a) represents how y changes when going from x = a to x = b.
factorise y^3- 7y+6
Answer:
(y−1)(y−2)(y+3)
Step-by-step explanation:
Factor y3−7y+6
y3−7y+6
=(y−1)(y−2)(y+3)
Answer:
(y - 2) (y-1) (y+3)
Step-by-step explanation:
y³-7y+6
= y³ +2y² - 2y² - 3y - 4y +6
= ( y³ +2y² - 3y) - (2y² + 4y -6)
= y( y² +2y -3) - 2( y² + 2y -3)
= (y² +2y -3)(y-2)
= ( y² +3y -y -3)(y-2)
= [ y( y+3) -(y+3)] ( y-2)
= (y-1)(y+3)(y-2)
In ΔDEF, the measure of ∠F=90°, ED = 25, DF = 24, and FE = 7. What ratio represents the sine of ∠D?
Answer:
39/89
Step-by-step explanation:
Answer:
7/25
Step-by-step explanation:
(sin) = opp/hyp
Mr. Edwards has a total of 28 kids in his class. There are 6 more boys than there are girls. Write a system
of equations to model this and find the number of boys and the number of girls in the class.
Answer:
17 boys and 11 girls
Step-by-step explanation:
Create a system of equations where b is the number of boys and g is the number of girls:
b + g = 28
b = g + 6
Solve by substitution, by substituting the second equation into the first one:
b + g = 28
(g + 6) + g = 28
2g + 6 = 28
2g = 22
g = 11
So, there are 11 girls.
Since there are 6 more boys than girls, there are 17 boys.
So, there are 17 boys and 11 girls in the class.
Please help it’s a riddle can you find the correct answer
Question 2
Find the volume.
Answer:
It is D...........nnnnnnn
A rectangle has a length of 16
inches and a width of 6 inches. A similar rectangle has a length of 24 inches. What is the width of the similar rectangle?
Answer:
9 inches
Step-by-step explanation:
Given
Let;
[tex]L = Length; W= Width[/tex]
So:
[tex]L_1=16in; W_1 = 6in[/tex]
[tex]L_2 = 24[/tex]
Required
Determine [tex]W_2[/tex]
To do this, we make use of the following equivalent ratios
[tex]L_1 : W_1 = L_2:W_2[/tex]
This gives
[tex]16 : 6= 24:W_2[/tex]
Express as fraction
[tex]\frac{6}{16}= \frac{W_2}{24}[/tex]
Multiply by 24
[tex]W_2 = 24 * \frac{6}{16}[/tex]
[tex]W_2 = 9[/tex]
Fractions are hard... Or I'm just to lazy to try and do them.
verify that A(3, 1), B(0, 5), and C(-1, -1) are the vertices of a right triangle.
Circle O has a circumference of approximately 25077 ft.
Nhat is the approximate length of the diameter o?
40 ft
O 80 ft
0 125 ft
250 ft
Answer:
7,982 ft
Step-by-step explanation:
c = πd
25077 = πd
Divide both sides by π
25077/π = d
d = 7,982 ft
----------------------
I think the 25077 number in the question might be a typo
Just divide the correct number by 3.14 to get the diameter.
explanation please will give brainliest.
Answer:
[tex]AC = 28[/tex]
Step-by-step explanation:
Given
[tex]AB = 16[/tex]
[tex]BC = 12[/tex]
Required
Determine AC
Since A, B and C are collinear, then:
[tex]AC = AB + BC[/tex]
So, we have:
[tex]AC = 16 + 12[/tex]
[tex]AC = 28[/tex]
Có 6 quyển sách và 7 quyển vở. Hỏi có bao nhiêu cách chọn
một trong các quyển nói trên?
Answer:
eeeeeee
Step-by-step explanation:
xdddddddudjdjdjdjdjdjsjsjsjsjsjsjsjjsjsjsjsjsjsjsjsjsjsjjs
Angles D and G are complementary. What statement must always be true about angles D and G?
Answer:
They will never intersect. I'm pretty sure that is right
Find the size of the of angle x.
Answer:
80 degrees
Step-by-step explanation:
Since a triangle is 180 degrees
you then add to 2 degrees given and subtract it from 180
65+35=100
180-100=80 degrees
0.87 written as a fraction
Answer:
[tex] \frac{87}{100} [/tex]Step-by-step explanation:
Convert to a mixed number by placing the numbers to the right of the decimal over 100. Reduce the fraction.
Hope it is helpful...Answer:
87/100
Step-by-step explanation:
Help plz I’m confused
Answer:
C.
Step-by-step explanation:
[tex]\frac{2}{3}[/tex] is between 0 and 1
Only 1 point is between 0 and 1
C.
A cooking teacher needs to give each student in his class three eggs to use in a recipe. There are 44 students in the class. How many dozens should the teacher buy?
Answer:
11
Step-by-step explanation:
Multiply 44 by 3 to get the amount of eggs you need total, then divide it by 12 for each dozen of cartons you’ll need to buy. The end result is 11.
can you guys help me measure x
Step-by-step explanation:
everything can be found in the picture
Answer:
x = 102
Step-by-step explanation:
The angles form a straight line
Angles that form a straight line add up to equal 180
Hence, x + 78 = 180
Subtract both sides by 78
180 - 78 = 102
78 - 78 cancels out
Were left with x = 102
14+6×(9-6)
please answer
Answer:
32
Step-by-step explanation:
14+6(9-6)
[9-6=3]
14+6x3
[6x3=18]
14+18
32
---
hope it helps
Answer:
14+6×(9-6)=32
Find the equation of the line that passes through points A and B.
Answer:
[tex]y=2x+5[/tex]
Step-by-step explanation:
Hi there!
Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)
1) Determine the slope (m)
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the given points (-3,-1) and (1,7)
[tex]m=\frac{7-(-1)}{1-(-3)}\\m=\frac{7+1}{1+3}\\m=\frac{8}{4}\\m=2[/tex]
Therefore, the slope of the line is 2. Plug this into [tex]y=mx+b[/tex]:
[tex]y=2x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=2x+b[/tex]
Plug in one of the given points and solve for b
[tex]7=2(1)+b\\7=2+b[/tex]
Subtract 2 from both sides to isolate b
[tex]7-2=2+b-2\\5=b[/tex]
Therefore, the y-intercept is 5. Plug this back into [tex]y=2x+b[/tex]:
[tex]y=2x+5[/tex]
I hope this helps!
i need help on this one please help! (listing BRAINLIST and giving points) :D
Answer:
tan C is 90
tan B is 60
tan A is 60