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4 years ago

What is -7/ 12 plus 7/10 in simplest form

Mathematics

2 answers:

VMariaS [17]4 years ago

6 0

It would be: -7/12 + 7/10 = -35+42 /60 = 7/60

So, your final answer is 7/60

Hope this helps!

Vladimir79 [104]4 years ago

6 0

-(7/12) + (7/10) = (7/60)

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Need help with inscribed angles If M

Cloud [144]

Given:

In the given circle O, BC is diameter, OA is radius, DC is a chord parallel to chord BA and $m\angle BCD=30^\circ$ .

To find:

The $m\angle AOB$ .

Solution:

If a transversal line intersect two parallel lines, then the alternate interior angles are congruent.

We have, DC is parallel to BA and BC is the transversal line.

$\angle OBA\cong \angle BCD$ [Alternate interior angles]

$m\angle OBA=m\angle BCD$

$m\angle OBA=30^\circ$

In triangle AOB, OA and OB are radii of the circle O. It means OA=OB and triangle AOB is an isosceles triangle.

The base angles of an isosceles triangle are congruent. So,

$\angle OAB\cong \angle OBA$ [Base angles of an isosceles triangle]

$m\angle OAB=m\angle OBA$

$m\angle OAB=30^\circ$

Using the angle sum property in triangle AOB, we get

$m\angle OAB+m\angle OBA+m\angle AOB=180^\circ$

$30^\circ+30^\circ+m\angle AOB=180^\circ$

$60^\circ+m\angle AOB=180^\circ$

$m\angle AOB=180^\circ-60^\circ$

$m\angle AOB=120^\circ$

Hence, the measure of angle AOB is 120 degrees.

4 0

3 years ago

The mass of a carbon atom is 1.994 × 10-23 grams. The mass of a hydrogen atom is 1.67 × 10-24 grams. What is the difference of t

Bezzdna [24]

Solving:
$1.994*10^{-23}\:-\:1.67*10^{-24} = 
$
$(1.994 - 0.167 )*10^{-23}$
$\boxed{\boxed{1.827*10^{-23}\:grams}}\end{array}}\qquad\quad\checkmark$

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3 years ago

Write the converse of the following statement. Then determine its validity.

madam [21]

The converse and the validity of the statement is:

If a parallelogram is a rectangle, then the diagonals are congruent.
TRUE.

The statement is given as:

If the diagonals of a parallelogram are congruent, then is the parallelogram is a rectangle

Considering the following statement

If a then b

Its converse is:

If b then a

So, the converse of the given statement is:

If a parallelogram is a rectangle, then the diagonals are congruent.

The diagonals of a rectangle are true.

Hence, the validity is true.

So, the true statement is (b)

Read more about converse statements at:

brainly.com/question/4421013

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3 years ago

Tim Worker expects Social Security benefits of $937 per month. His wife, Mary, is eligible for a wife's benefit of 50 percent of

Anestetic [448]

Hi there

Mary receive
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3 years ago

Read 2 more answers

Step 1: 12x – 15 – 12x = 7x + 20

stealth61 [152]

Step-by-step explanation:

step 1. 12x - 15 - 12x = 7x + 20

step 2. 12x - 12x - 15 = 7x + 20 (grouping of terms)

step 3. -15 = 7x + 20 (adding like terms)

step 4. -35 = 7x (subtract 20 from both sides)

step 5. this step is incorrect.

step 6. -5 = x ( divide both sides by 7)

step 7. x = -5 (put the variable first).

5 0

3 years ago