Please anwser this question 2c+2=6

Evaluate using suitable identity:<br>e). 102 × 98

chubhunter [2.5K]

Step-by-step explanation:

<h3><u>★ Solution :-</u></h3>

$\sf \longmapsto 102 \times 98$

$\sf \longmapsto (a + b)(a - b) = a^2 - b^2$

Here,

a = 100
b = 2

$\sf \longmapsto (100 + 2)(100 - 2) = 100^2 - 2^2$

$\sf \longmapsto 100^2 - 2^2$

$\sf \longmapsto 10000 - 4$

$\sf \longmapsto 9996$

8 0

3 years ago

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a slide 4.1 meters long makes an angle of 35 degrees with the ground. How far above the ground is the top of the slide

yuradex [85]

2.4 meters above the slide

3 0

4 years ago

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In triangle RST, m∠R > m∠S + m∠T. Which must be true of triangle RST? Check all that applym∠R > 90°

Sedbober [7]

Answer: The correct statements are,

m∠R > 90°

m∠S + m∠T < 90°

m∠R > m∠T

m∠R > m∠S

Step-by-step explanation:

Here, RST is a triangle,

Therefore, m∠R+m∠S+m∠T = 180° ⇒ m∠S+m∠T = 180° - m∠R

Given: m∠R > m∠S + m∠T

⇒ - m∠R < - (m∠S + m∠T) (by multiplying-1 on both sides)

⇒ 180°- m∠R < 180° - (m∠S + m∠T) (by adding 180° on both sides)

⇒ m∠S+m∠T < 180° - (m∠S + m∠T)

⇒ m∠S+m∠T+ m∠S+m∠T < 180° ( by adding m∠S + m∠T on both sides)

⇒ 2(m∠S+m∠T) < 180°

⇒ m∠S+m∠T < 90°

⇒ m∠R > 90° ( because m∠R+m∠S+m∠T = 180° )

Again, m∠R > m∠S + m∠T

⇒ m∠R > m∠S and m∠R > m∠T

Thus, Option first second fourth and fifth are correct.

Note: m∠S = m∠T is only possible when m∠R=90° (but it is not given)

That is why m∠S = m∠T is not correct.

And, there are not enough information to prove m∠S > m∠T

That is why m∠S > m∠T is also incorrect.

3 0

3 years ago

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given two angles that measure 50 and 80 and a side that measures 4 feet how many triangles if any can be constucted

Ierofanga [76]

There is only one triangle possible having angle 50, 50, 80.

<h3>What is isosceles triangle?</h3>

An Isosceles Triangle has the following properties:

Two sides are congruent to each other.
The third side of an isosceles triangle which is unequal to the other two sides is called the base of the isosceles triangle.

The two angles opposite to the equal sides are congruent to each other.

It is given that, 2 angles of a triangle as:

∠1 = 50°

∠2 = 80°

Now we know the Angle sum property of a triangle that sum all three interior angle in a triangle is $180^{0}$ .

i.e., ∠1+∠2+∠3= $180^{0}$ .

So, 50° +80°+ ∠3 = $180^{0}$

∠3 = 50°

As two angles of the triangle are equal that means it is a isosceles triangle.

There is no possibility of getting a right angles triangle.

Hence, there is only one triangle possible with these measurements .

Learn more about triangles here:

brainly.com/question/4987857

#SPJ1

3 0

3 years ago

Find the geometric mean between 12 and 20 find the answer in radical form

shusha [124]

Answer:

4√15

Step-by-step explanation:

The geometric mean of x and y is √(xy).

So here we have:

√(12*20)

= √240

= √(16*15)

= √16√15

= 4√15.

5 0

3 years ago