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3 years ago

angle a is supplementary to angle b. angle b is complementary to angle c . from this what can we conclude

Mathematics

1 answer:

kakasveta [241]3 years ago

3 0

Answer:

Angle A is larger than angle C

Step-by-step explanation:

The reason for this is a visual concept. Since A is supplementary to angle B, then A is a greater measure than B, making B complimentary. B is complementary to Angle C making B the smallest angle, C the "medium angle" and A the largest angle. From this however, we can conclude angle A is larger than angle C.

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8_murik_8 [283]

Answer:

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3 years ago

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3 0

3 years ago

Two lines intersecting at a right angle, What do they form?

ella [17]

Answer:

Perpendicular

Step-by-step explanation:

Perpendicular lines are lines that form a 90 degree angle or right angles.

3 0

4 years ago

Read 2 more answers

lfador produces gear for a racquetball league. It costs him S0.005 per square centimeter to racquetballs for the league. In the

kotegsom [21]

Answer:

out estimation is underestimate when we increase the cost.

Step-by-step explanation:

Given diameter of the racquetballs (x)= 4 cm

New diameter = 4.05 cm

Therefore, change in diameter ( Δ x) = 0.05.

Cost Function of x diameter of 30,000 racquetballs at the rate 0.005 per square centimeter

C(x) = 30000 × 0.005 × S/4

C(x) = 150 × S/4 = 37.5 × S.

We are given S = π r^2

Therefore,

C(x)= 37.5 π r^2.

C(4) = 37.5 *π*(4)^2 = 37.5 π*16

C (4+0.05) = 37.5 *π*(4.05)^2 = 37.5 * π * 16.4025.

Finding first derivative of cost function, we get

C'(x) = 2 * 37.5 * π r = 75 π r

C(4) = 75 * π * 4 = 300 π

We know,

Δ C(x)/ Δ x = C'(x).

Plugging value of Δ x and x

Δ C(4) = Δ x * C '(4) = 0.05 * 300 π = 15 π = 15 * 3.141 = 47.12.

We also know

Δ C(x) = C(x+Δx) - C(x) = (37.5 * π * 16.4025) - (37.5 π*16) = 37.5 π (16.4025 -16)

= 37.5 π(0.4025)

= 37.5 * 3.14 * 0.4025

= 47.42.

We can see that 47.42 is greater than 47.12.

Therefore, out estimation is underestimate when we increase the cost.

4 0

4 years ago

The sides of a triangle have lengths of x, x + 5, and 25. If the longest side is 25, which of the following values of x would ma

Amiraneli [1.4K]

In a right angle, the sum of the squares of the two shorter sides is equal to the square of the longest side.
Here, the longest side is 25, the shorter sides are x and x+5.

$x^2+(x+5)^2=25^2 \\
x^2+x^2+10x+25=625 \\
2x^2+10x+25=625 \ \ \ |-625 \\
2x^2+10x-600=0 \ \ \ |\div 2 \\
x^2+5x-300=0 \\
x^2+20x-15x-300=0 \\
x(x+20)-15(x+20)=0 \\
(x-15)(x+20)=0 \\
x-15=0 \ \lor \ x+20=0 \\
x=15 \ \lor \ x=-20
$

The length of a side must be a positive number, so x=15.
The answer is C.

6 0

4 years ago