What is the value of m in the figure below? If necessary, round your answer to
the nearest tenth of a unit.
A. 8.5
B. 8.2
C. 13
D. 4
Answers
Answer:
B. 8.2
Step-by-step explanation:
[tex] In\: \triangle ABC, \:\angle ABC= 90\degree \: \&\: BD\perp AC[/tex]
So, by geometric mean property.
[tex] BD = \sqrt {AD\times CD} \\
BD = \sqrt {13\times 4}\\
BD = \sqrt {52}\\
Next\: in \: \triangle BDC, \:\\
By\: Pythagoras \: theorem \\
m^2 = BD^2 + CD^2 \\
m^2 = (\sqrt {52}) ^2 + (4)^2 \\
m^2 =52 + 16\\
m^2 =68\\
m =\sqrt{68} \\
m = 8.24621125\\
m = 8.2 [/tex]
Related Questions
four-fiths of a number minus two is greater then three-tenths of twice of that number
Answers
Answer:
Step-by-step explanation:
4/5 x - 2 > 3/10 * 2x
4/5 x - 2 > 3/5 x
4/5 x - 2 - 3/5x> 0
1/5x > 2
x > 10
frank is 5 years younger than twice the age of his cousin Alonso. Frank is 17 years old. Which equation could be used to determine a, alonzos age?
Answers
Answer:
Hi there!
Your answer is:
17= 2A-5
Alonzo is 11
Step-by-step explanation:
Frank=2A -5
Frank = 17
17= 2A-5
A = Alonzo's age
Alonzo's age is:
17= 2A-5
+5
22 = 2A
/2
11= A
N + 8 = -9 what is “N”
Answers
The equivalent value of the expression is N = -17
Given data ,
Let the equation be represented as A
Now , the value of A is
N + 8 = -9
On simplifying the equation , we get
N + 8 = -9
So , the left hand side of the equation is equated to the right hand side by the value of ( -9 )
Subtracting 8 on both sides of the equation , we get
N = -9 - 8
On further simplification , we get
N = -17
Therefore , the value of N = -17
Hence , the expression is N = -17
To learn more about equations click :
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7x+15=4x+66
solve for x.
Answers
Answer: x=17
Step-by-step explanation:
7x + 15 = 4x + 66 Subtract 4x from both sides
-4x -4x
3x + 15 = 66 subtract 15 from both sides
-15 -15
3x = 51 Divide both sides by 3
x= 17
Find the value of x.
(3x + 7)º
(4x – 18)°
X =
Answers
Answer:
X=25
Step-by-step explanation:
3x+7 = 4x-18
Subtract 3x from both sides
7=x-18
Add 18 to both sides
25=x
31 increased by 14?
Answers
Answer: 45
Step-by-step explanation
31+14=45
Start from the back
4+1=5
3+1=4
Then put them together
45.
Answer:
45
Step-by-step explanation:
31 increased by 14
= 31 + 14 = 45
Hope this helps
plz mark as brainliest!!!!!!!!!!
3 1
+ 1 4
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4 5
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Cameron challenges you to race on the first turn you run off the Course and your car strikes a large bale of hay. your car still produces 5000 Newtons of force but now it accelerates at 2 m\s2. what is the mass of your car now that the bail of hay is stuck to it?
F= ?
M= ?
A = 2m /s2
Answers
sos pls someone help me
Answers
Answer:
The correct answer is 4.67 X 10^-5
Step-by-step explanation:
Because when you have scientific notation you have to have a number that is bigger than 0 but less than ten and it has to be positive or else it isnt going to work
Can i be brainliest
Right triangle ABC is on a coordinate plane. Segment AB is on the line y = 2 and is 3 units long. Point C is on the line x = −1. If the area of ΔABC is 6 square units, then find a possible y-coordinate of point C.
A: 6
B: 7
C: 8
Answers
Answer:
A. 6
Step-by-step explanation:
Segment AB is on the line y = 2 and is 3 units long.
Point C is on the line x = −1.
FIND:
If the area of ΔABC is 6 square units, then find a possible y-coordinate of point C.
SOLUTION:
Area of a triangle = 1/2 b * h
segment AB is a horizontal line
the base of our triangle and point C is somewhere on the height.
If we can find the height of the triangle, we can add or subtract that height from y = 2 to get the possible y coordinate of point C.
We know that the x coordinate is -1 so,
6 = 1/2 (3) h
12 = 3h
h = 4
we can either add 4 or subtract 4 to the y coordinate of 2 to get the possible y coordinate of point C.
option 1
2 + 4 = 6 so the coordinate for C could be (-1, 6) or
option 2
2 - 4 = -2 so the coordinate for C could also be (-1, -2).
Since -2 is not in our choices but 6.
therefore,
the answer would be A. 6
3(2 exponent2 +4) help
Answers
Answer:
16
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
A. x=10
B. x=11
C. x=30
D. x=50
Answers
Answer:
[tex] \boxed{\sf A. \ x = 10 \degree} [/tex]
Given:
∠AOC = 90°
∠AOB = 3x° + 46°
∠BOC = 14°
To Find:
Value of x
Step-by-step explanation:
∠AOC = ∠AOB + ∠BOC
90° = 3x° + 46° + 14°
90° = 3x° + 60°
3x° + 60° = 90°
3x° = 90° - 60°
3x° = 30°
x = [tex] \sf \dfrac{30}{3} [/tex]°
x = 10°
6. BIRDS A bird call manufacturer sold 8 · 4 · 4 · 8 · 4 calls in two months. How many calls did the manufacturer sell? 7. RIVER The St. Johns River is 2 · 5 · 31 miles long. About how many miles long is the river? 16. HEIGHT The table shows the heights of four sixth grade students. Find the prime factorization of each height. Student Height (in.) Oksana 59 Silvia 62 Joseph 64 Diego 66
Answers
Answer: 4
Step-by-step explanation:
A collection of objects, places, or people with common properties or qualities is called a ______. set median data mean
Answers
Answer:
collection of data
Step-by-step explanation:
I NEED HELP WITH THIS ASAP!!
Answers
Answer: 78°
Step-by-step explanation:
Looking at the picture, we can tell that ∠ACD and ∠DCB are supplementary angles. This means, they are equal to 180°. With that, we can find x and plug it into ∠DCB.
4x+2+3x+3=180 [combine like terms]
7x+5=180 [subtract both sides by 5]
7x=175 [divide both sides by 7]
x=25
Now that we know x=25, we can plug it in to find ∠DCB.
3(25)+3 [multiply]
75+3 [add]
78
Now, we know ∠DCB is 78°.
[tex] \sf\huge {\dag Question } [/tex]
[tex] \qquad \qquad [/tex] "Diagram"
Determine the value of m∠DCB.
[tex] \sf\huge { \dag Solution } [/tex]
Here, in the diagram it is forming supplementary angle,
[The two angles that gives 180° when they add up are called]
So, we can conclude that,
[tex] \sf { \angle DCA + \angle DCB = 180°} [/tex]
[tex] \sf { 4x + 2 + 3x + 3 = 180°} [/tex] [ Put the values and formed the suitable equation. ]
[tex] \sf { \implies 4x + 3x + 2 + 3 = 180°} [/tex]
[tex] \sf { \implies 7x + 5 = 180°} [/tex]
[tex] \sf { \implies 7x = 180° - 5} [/tex]
[tex] \sf { \implies 7x = 175} [/tex]
[tex] \sf\red { \implies x = \cancel{\dfrac{175}{7}} = 25°} [/tex]
Value of x is 25°.
Now, put the value in the expression 3x + 3 (measurement of m∠DCB)
[tex] \sf { \longrightarrow 3x +3}[/tex]
[tex] \sf { \longrightarrow 3 \times 25 +3}[/tex]
[tex] \sf { \longrightarrow 75 +3}[/tex]
[tex] \sf { \longrightarrow 78}[/tex]
[tex] \therefore [/tex] The value of m∠DCB is 78°.
________________________________pllssss help !!! Which table of values will generate this graph? On a coordinate plane, points are at (negative 3, negative 2), (negative 1, 0), and (1, 2). A 2-column table with 3 rows. Column 1 is labeled x with entries negative 3, negative 1, 1. Column 2 is labeled y with entries negative 2, 0, 2. A 2-column table with 3 rows. Column 1 is labeled x with entries negative 3, 0, 1. Column 2 is labeled y with entries negative 2, negative 1, 2. A 2-column table with 3 rows. Column 1 is labeled x with entries negative 2, 0, 2. Column 2 is labeled y with entries negative 3, negative 1, 1. A 2-column table with 3 rows. Column 1 is labeled x with entries negative 2, negative 1, 2. Column 2 is labeled y with entries negative 3, 0, 1.
Answers
Answer:
D!
Step-by-step explanation:
edge2020
Answer:
its D
Step-by-step explanation: the numbers are graphed on line duh
1 × 10 + 7 × 1 + 2 × 0.1 in unit from
Answers
Step-by-step explanation:
1×10+7×1+2×0.1
= 10+7+0.2
= 17.2
Solve for x: 3x - 5 = 2x + 6
Answers
Answer:
3x - 5 = 2x + 6
Step one- Subtract 2x to isolate the variable
X – 5 = 6
Step two- Add 5 to continue to isolate the variable
X = 11
Your answer is x = 11
Hopefully this helps! Feel free to mark brainliest!
Answer: x=11
Step-by-step explanation:
3x-5=2x+6
+5. +5
3x=2x+11
-2x -2x
x=11
Long division always uses the same pattern of steps. Explore several different problems to discover this pattern. What is the step that follows multiplication? divide multiply subtract bring down
Answers
Answer:
Subtract
Step-by-step explanation:
I did the problem
50 POINTS NOW!! Which inequality is equivalent to the given inequality plz help
Answers
-4(x + 7) < 3(x - 2)
Let's simplify this inequality
-4x - 28 < 3x - 6
Subtract 3x from both sides and add 28 to both sides
-7x < 22
Answer choice B is correct
Answer:
-7x < 22
Step-by-step explanation:
1. -4(x+7) < 3(x-2)
distribute -4 to x and 7, distribute 3 to x and -2.
2. -4x-28 < 3x-6
add 28 to 28 to cancel it out, add 28 to -6.
3. -4x < 3x+22
subtract 3x from 3x to cancel it out, subtract -3x from -4x.
4. -7x < 22
the final product! the answer is B. -7 < 22. since there was no multiplication or division, there's no need to switch < to >. hope this helps! :)
¿Cuánto es 20% de 500?
Answers
Answer:
100
Step-by-step explanation:
20% = 0.2
0.2 * 500 = 100
Answer:
100
Step-by-step explanation:
[tex]20\% \:es\:500[/tex]
[tex]\frac{20}{100}\times 500\\[/tex]
Convertir elemento a fracción
[tex]500=\frac{500}{1}\\\\=\frac{500}{1}\times \frac{20}{100}[/tex]
Factor común de cancelación cruzada 100
[tex]=\frac{20}{1}\times \frac{5}{1}\\\\=\frac{20\times \:5}{1\times \:1}\\\\=\frac{100}{1}\\\\=100[/tex]
Amira is told there is a trick to finding the slope within an equation in standard form, Ax+By=C. She is told she can rewrite this equation in slope-intercept form, y=mx+b, to find the pattern. She correctly rewrites the equation 7x+9y=14 in slope-intercept form as y=− 7/9x +14/9. Which answer explains the pattern for how to find the slope using an equation in standard form?
A. In slope-intercept form, the slope is 14/9. These values are C and A, but with the opposite sign, so the slope of the line from the equation in standard form is − C/A.
B. In slope-intercept form, the slope is − 7/9. These values are A and B, but with the opposite sign, so the slope of the line from the equation in standard form is − A/B.
C. In slope-intercept form, the slope is 14/9. These values are C and B, but with the opposite sign, so the slope of the line from the equation in standard form is − C/B.
D. In slope-intercept form, the slope is − 7/9. These values are A and B, but with the opposite sign, so the slope of the line from the equation in standard form is − B/A.
Answers
Answer:
B. In slope-intercept form, the slope is − 7/9. These values are A and B, but with the opposite sign, so the slope of the line from the equation in standard form is − A/B.
Step-by-step explanation:
Let's convert the standard equation into slope-intercept form:
Ax + By = C ⇒ subtract Ax from both sidesBy = -Ax + C ⇒ divide both sides by By = -A/Bx + C/B ⇒ converted to slope- intercept formAs we see the slope is -A/B
The equation 7x + 9y = 14 is converted as:
y = -7/9x + 14/9, where the slope is -7/9Looking at the answer options and the correct one is option B, where both identification of slopes match.
B. In slope-intercept form, the slope is − 7/9. These values are A and B, but with the opposite sign, so the slope of the line from the equation in standard form is − A/B.A) (-6) - (+3) =
Please put the working also
Answers
Calculate the difference -6-3=-9
Answer:
-9
Step-by-step explanation:
A) (-6) - (+ 3) = -6 -3 = -9
Evaluate the expression 2(a - 5) + 2, for a=15
Answers
Answer:
This expression equals 22
Step-by-step explanation:
2(a-5)+2 a=15
2(15-5)+2
2(10)+2
20+2
=22
8=4(q-2)+4
Please help
Answers
Answer:q=3
Step-by-step explanation:
Answer:
so, q=3
Step-by-step explanation:
8=4 (q-2)+4
8=4q-8+4
collect like terms
8=4q-4
8+4=4q
12=4q
divide by 4 both sides
12/4=4q/4
3=q
mark me as brainliest plyyyzzz
Solve the equation 2/3x+5=3 pls and thx :)
Answers
Answer:
x = - 3
Step-by-step explanation:
Given
[tex]\frac{2}{3}[/tex] x + 5 = 3 ( subtract 5 from both sides )
[tex]\frac{2}{3}[/tex] x = - 2 ( multiply both sides by 3 to clear the fraction )
2x = - 6 ( divide both sides by 2 )
x = - 3
The graph represents a mechanic’s labor costs for a given number of hours of car repair. A graph titled Car Repairs. The horizontal axis shows Labor Time (hours) numbered 0.25 to 2.5, and the vertical axis shows Labor Costs (dollars), numbered 25 to 250. The line remains constant at $50 dollars over 1 hour, then increases sharply. The line remains at 50 dollars from 0 to 1 hour, then move upward to end at 175 dollars at 2.5 hours.
Answers
Answer:
A: All repairs requiring 1 hour or less have the same labor cost.
Step-by-step explanation:
Answer:
A: All repairs requiring 1 hour or less have the same labor cost.
Step-by-step explanation: all right!
What is a requirement of complementary angles?
Answers
Answer:
Complementary angles always create a right angle and measure to 90°.
Answer:
The measures of complementary angles must add up to 90°.
(FLVS)
Step-by-step explanation:
What is the slope of the line that passes through the points A(-2,3) and B(-12,6)?
Answers
Answer:
The answer is
[tex]- \frac{3}{10} [/tex]Step-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
A(-2,3) and B(-12,6)
The slope is
[tex]m = \frac{ 6 - 3}{ - 12 - - 2} = \frac{3}{ - 12 + 2} \\ = - \frac{3}{10} [/tex]
We have the final answer as
[tex]- \frac{3}{10} [/tex]
Hope this helps you
Work is attached in the image below.
Please help me!!!! I need to identify the point of rotation and label them PQR and XYZ
Answers
How different is Algebra 2 from Pre-Calculus? I've heard that they're almost the same, is that true? Also what topics do you learn in Pre-Calculus?
Answers
Answer:
Algebra is just algebra but precalculus has algebra and other things. I forget what its called but I think in precalculus you also learn beginner level trigonometry and some other things. I know its not an exact answer but I hope it helps.
