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3 years ago

The sum of the measures of two acute angles is always greater than 90 degrees

Mathematics

1 answer:

kotykmax [81]3 years ago

4 0

Answer:

One acute angle will always measure between 0° and 90° . Two acute angles can sum to be either greater than, less than, or equal to a right angle. Two acute angles can be complementary angles (adding to 90° ). Two acute angles alone cannot sum to make a straight angle (180° )

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Please help i dont understand

Greeley [361]

Given:

A quadrilateral inscribed in a circle.

To find:

The value of x and y.

Solution:

If a quadrilateral inscribed in a circle, then it is known as cyclic quadrilateral and the opposite angles of a cyclic quadrilateral are supplementary angles, it means their sum is 180 degrees.

$5x^\circ+110^\circ=180^\circ$ [Supplementary angles]

$5x^\circ=180^\circ -110^\circ$

$x^\circ=\dfrac{70^\circ}{5}$

$x^\circ=14^\circ$

The value of x is 14 degrees.

$2y^\circ+104^\circ=180^\circ$ [Supplementary angles]

$2y^\circ=180^\circ -104^\circ$

$y^\circ=\dfrac{76^\circ}{2}$

$y^\circ=38^\circ$

Therefore, the value of x is 14 degrees and the value of y is 38 degrees.

3 0

3 years ago

Which of the following equations represent linear function?

luda_lava [24]

Answer:

click them all and whatever shows up right then keep that.. bc thats big ideas.. i know how that works

Step-by-step explanation:

3 0

3 years ago

What value in place of the question mark makes the polynomial below a

mel-nik [20]

Answer:

Step-by-step explanation:

Given

x² + 12x

To make the polynomial a perfect square

add ( half the coefficient of the x- term)²

= x² + 12x + 6²

= x² + 12x + 36

= (x + 6)² ← a perfect square

5 0

3 years ago

A bricklayer needs to order 6300kg of building sand

luda_lava [24]

Answer:

$9\times 10^7\ \text{grains of sand}$

Step-by-step explanation:

Given that,

A bricklayer needs to order 6300kg of building sand.

1 grain of this sand weighs $7\times 10^{-5}\ kg$ .

We need to find how many grains of sand are there in 6300 kg.

It can be just calculated as follows :

1 grain of sand = $7\times 10^{-5}\ kg$

$6300\ kg=\dfrac{6300}{7\times 10^{-5}}\\\\=9\times 10^7\ \text{grains of sand}$

= 90000000 grans of sand

So, 6300 kg is equal to $9\times 10^7\ \text{grains of sand}$ .

8 0

3 years ago

11. The formula for finding a number that's the square root of the sum of another number n and 6 is

Dafna1 [17]

Answer:

x = $\sqrt{x+6}$

Step-by-step explanation:

The question states that it is the square root of the sum of both n and 6. That means n and 6 are added first before square rooted. Between B and C, choose the answer that has the parenthesis around x and 6, like (x + 6).

6 0

3 years ago