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2 years ago

Limit X go 0 to sign for x / sign 5X

Mathematics

1 answer:

amm18122 years ago

6 0

Lim X/SIN5X=lim 5X/5SIN5X=1/5

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Triangle ABC is an isosceles right triangle inscribed in a circle. The center of the circle is point D and the diameter of the c

Paha777 [63]

Answer:

* AD is congruent to DC and BD true

* m∠B = 90° true

* The measure of arc AC is equal to the measure of arc AB not be true ( The right answer )

* The measure of arc AB is equal to measure of arc BC true

Step-by-step explanation:

∵ D is the center of the circle and A , B and C are points on the circle

∴ AD , DB and DC are radii on the circle D

∴ AD ≡ DC ≡ DB

∵ AC passing through point D which is the center of the circle

∴ AC is the diameter of the circle D

∵ ∠B is opposite to the diameter of the circle and vertex B lies on the circle

∵ ∠B is an inscribed angle and ∠ADC is a central angle subtended by the same arc AC

∴m∠B = half m∠ADC

∵ m∠ADC = 180°

∴ m∠B = 90°

∵ The measure of arc AC = 180°

∵ ΔABC is isosceles and m∠B = 90°

∴ m∠BAC = m∠BCA = (180° - 90°) ÷ 2 = 45°

∵ ∠ACB is an inscribed angle subtended by arc AB

∴ m∠ACB = half measure of arc AB

∵ The measure of arc AB = 45° × 2 = 90°

∴ The measure of arc AC ≠ the measure of arc AB

∵ Δ ABC is an isosceles triangle and m∠B = 90°

∴ AB = BC

∵ AB subtended by arc AB

∵ BC subtended by arc BC

∴ The length of arc AB = the length of arc BC

∵ If two arcs are equal in length, then they will be equal in measure

∴ The measure of arc AB is equal to the measure of arc BC

3 0

2 years ago

What is an equation of the line that passes through the point (3, -8) and has slope -2?

BabaBlast [244]

Answer:

Step-by-step explanation:

slope of -2 means the slope is -2/1

from (3, - 8) you can find the y intercept by going backwords until x = 0

(2,-6)

(1,-4)

(0,-2)

so the y intercept is -2

y = -2x - 2

6 0

2 years ago

Olve for x. Check each step or answer that is correct. 34(x + 4) = 14(x + 8) (A) Distribute 34 on the left side of the equation.

Fantom [35]

Answer:

x = -1.2

Step-by-step explanation:

Th given equation is :

34(x + 4) = 14(x + 8)

Step (A) Distribute 34 on the left side of the equation such as :

34x + 34(4) = 14(x + 8)

34x + 136 = 14(x + 8)

Step (B) Distribute 14 on the right side of the equation such as :

34x + 136 = 14x + 14(8)

34x + 136 = 14x + 112

Step (C) Subtract 14x from each side of the equation.

34x + 136 - 14x = 14x + 112 -14x

20x + 136 = 112

Step (D) Subtract 136 from each side of the equation.

20x + 136 -136 = 112 -136

20x = -24

Step (E) Divide both side by 20

$\dfrac{20x}{20}=\dfrac{-24}{20}\\\\x=-1.2$

So, the value of x is (-1.2). Hence, steps (D) and (E) are incorrect.

3 0

3 years ago

25% of 80 = what percent???

Doss [256]

First off, you really don't need to write "what percent???" here.

25% of 80 is 0.25(80) = 20.

4 0

3 years ago

Read 2 more answers

Solve for the missing side. Round to the nearest tenth. 10 50° х

s344n2d4d5 [400]

Answer:

15.6

Step-by-step explanation:

8 0

3 years ago