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Setler79 [48]
3 years ago
15

Which expression represents the gcf of 154 and 196.

Mathematics
2 answers:
alexgriva [62]3 years ago
6 0
The answer to this question is D
saveliy_v [14]3 years ago
3 0
Answer=A

To find the gcf, we need to factor each number.

154=2*7*11

196=2*2*7*7

The number have a factor of 2 and a factor of 7 in common, so...


GCF=2*7
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PLEASE HELP ME!!!!
Damm [24]

Answer:

  • sin C=h/a
  • substitution property of equality
  • commutative property of multiplication

Step-by-step explanation:

Because two points determine a line, you can draw altitude​ BD perpendicular to AC with height h. By the definition of a sine ratio, <u>sin(C) = h/a</u>, which can be rearranged into​ a·sin(C) = h​. The area of △ABC is A=1/2bh. The <u>substitution property of equality</u> can be used to write A=1/2b(a sinC), which becomes A=1/2ab(sinC) by the <u>commutative property of multiplication</u>.

___

The mnemonic SOH CAH TOA reminds you that the sine ratio is ...

  Sin = Opposite/Hypotenuse

Here, the side of the right triangle opposite angle C is designated "h", the height of ∆ABC. The hypotenuse of that right triangle is side "a". So ...

  sin(C) = h/a

__

The substitution property of equality lets you replace any expression with its equal. Here, we have h=a·sin(C), so we can use a·sin(C) in place of h in the formula for triangle area:

  1/2bh = 1/2ba·sin(C)

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The commutative property of multiplication lets you rearrange the order of the factors in a product, so ...

  ba = ab

and

  A = 1/2ba·sin(C) = 1/2ab·sin(C)

7 0
3 years ago
You and a friend buy two fruit smoothies and leave a tip. You split the total and your half comes to $3.60. What percent tip (in
kykrilka [37]
.60 if you divide 3.60 by 6 youll get the answer heres another example:

$25.16 (total for a dinner) divided by 6 = $ 4.19
6 0
3 years ago
A perpendicular bisector to is drawn through point C and extended to point D.
Inga [223]

Answer:

Pair 1: slope = (9 - 5)/(8+4) = 1/3

midpoint = ((-4+8)/2, (5+9)/2) = (2, 7)

perpendicular bisector passes through point (2, 7) with slope = -1/(1/3) = -3 giving the equation (y - 7)/(x - 2) = -3 or y - 7 = -3(x - 2) or y = -3x + 13 and y-intercept at y = 13.

Pair 2: slope = (6 - 4)/(-8-2) = -1/5

midpoint = ((2-8)/2, (4+6)/2) = (-3, 5)

perpendicular bisector passes through point (-3, 5) with slope = -1/(-1/5) = 5 giving the equation (y - 5)/(x + 3) = 5 or y - 5 = 5(x + 3) or y = 5x + 20 and y-intercept at y = 20.

Pair 3: slope = (2 - 4)/(7 - 5) = -1

midpoint = ((5+7)/2, (4+2)/2) = (6, 3)

perpendicular bisector passes through point (6, 3) with slope = -1/(-1) = 1 giving the equation (y - 3)/(x - 6) = 1 or y - 3 = (x - 6) or y = x - 3 and y-intercept at y = -3.

Pair 4: slope = (3 - 9)/(-4 - 2) = 1

midpoint = ((2-4)/2, (9+3)/2) = (-1, 6)

perpendicular bisector passes through point (-1, 6) with slope = -1(1) = -1 giving the equation (y - 6)/(x + 1) = -1 or y - 6 = -1(x + 1) or y = -x + 5 and y-intercept at y = 5.

Pair 5: slope = (-12 + 2)/(9 - 3) = -5/3

midpoint = ((3+9)/2, (-2-12)/2) = (6, -7)

perpendicular bisector passes through point (6, -7) with slope = -1(-5/3) = 3/5 giving the equation (y + 7)/(x - 6) = 3/5 or 5(y + 7) = 3(x - 6) or 5y = 3x - 53 and y-intercept at y = -10.6.

Pair 6: slope = (12 - 10)/(8 - 4) = 1/2

midpoint = ((4+8)/2, (10+12)/2) = (6, 11)

perpendicular bisector passes through point (6, 11) with slope = -1(1/2) = -2 giving the equation (y - 11)/(x - 6) = -2 or y - 11 = -2(x - 6) or y = -2x + 23 and y-intercept at y = 23.

Arrangement in order of y-intercepts from smallest to largest

a(3, -2) and b(9, -12)

a(5, 4) and b(7, 2)

a(2, 9) and b(-4, 3)

a(-4, 5) and b(8, 9)

a(2, 4) and b(-8, 6)

a(4, 10) and b(8, 12)

Step-by-step explanation:

:)

4 0
3 years ago
If the height h of a triangle is 3 inches less than the length of the base b, and the area A of the triangle is 19 times the len
crimeas [40]

Answer:

b= 41

h= 38

Step-by-step explanation:

h= b-3

A= 19b

<u>(b-3) x b</u>    = 19 b

     2

(b-3) x b = 19b(2)

(b-3) x b = 38b

b-3 = 38

<u>b= 41</u> : h= 41 - 3 =<u>h = 38</u>

7 0
3 years ago
Which value(s) from the set {5,7,9,11,13} make the inequality w-4&lt;8 true?
Allisa [31]

Rewrite the inequality as

w

by adding 4 to both sides.

So, you want to pick only the values that are strictly less than 12, i.e. all of the values except 13.

6 0
3 years ago
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