MATHEMATICS HIGH SCHOOL

−1 1/2−(+3 1/2)−(−5/8)

Answers

Answer 1
Answer:

Answer:

-35/8

Step-by-step explanation:

−1 1/2−(3 1/2)−(−5/8)

Convert all fractions into improper fractions:

- 3/2 - (7/2) - (-5/8)

Make all denominators:

(-3*4)/(2*4)

-12/8 - ((7*4)/(2*4)) - (-5/8)

-12/8 - ((28)/(8)) + 5/8

-35/8

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Brainly for correct answer!!The diagram shows two parallel lines cut by a transversal. One angle measure is shown.Find the values of A B C D E F and G

Find MN.
4x+19=6x-7
Please and thank you.

Answers

As the given image is of a triangle and MN is one of the sides of the triangle. After solving the given equation, the value is 71.

What are the sides of triangle?

There are three sides and three angles in every triangle, some of which may be the same. In the case of a right triangle, the three sides are given unique names: the hypotenuse, which is the side that faces the right angle, and the legs, which are the other two sides.

Every triangle is bicentric and convex. A triangle with angles requires at least one side in order to determine the length of the side. The length of the triangle's sides can then be determined using the law of sines.

4x + 19 = 6x - 7

19 + 7 = 6x - 4x

26 = 2x

26 / 2 = x

13 = x

When the derived value of x is putted in the given equation, the value will be,

4x + 19 = 4 × 13 + 19 = 52 + 19 = 71

Therefore, after solving the given equation, the value is 71.

Learn more about sides of triangle from here:

brainly.com/question/15367648

#SPJ2

Answer:

MN = 71

Step-by-step explanation:

You first gotta know the value of x by putting both equations in line!

4x + 19 = 6x - 7

4(13) + 19 = 6(13) - 7

52 + 19 = 78 - 7

71 = 71

Answer:x = 13

Then we already have the length of MN!

Answer:MN = 71

The length of a rectangle is 2 more than twice the width. The perimeter is 76 feet. Find the length and width of the rectangle.

Answers

so we can set x= width
2x+2 = length
so 2(x)+2(2x+2)= 76
so that will give us 2x+4x+4=76
6x=72
x=12
so 12 is width and 26 is length

Which of the following is a solution of x2 − 10x = –36? negative 5 minus i square root of 10 5 plus i square root of 61 negative 5 minus i square root of 11 5 plus i square root of 11

Answers

x^2 - 10x + 36 = 0;
We use the quadratic formula: x = ( - b + or - i\sqrt{ -b^(2)+4ac })/ (2a);
We have a = 1; b = -10; c = 36;
Then, x = ( 10 + or -i√(44))/2 = 5 + or - √(11))/2 ;

Answer:

5 plus i square root of 11

Step-by-step explanation:

I got right on the test.

Which best explains whether or not all isosceles triangles are similar?a.All isosceles triangles are similar. Two angles within each triangle are always congruent.
b.All isosceles triangles are similar. The triangle sum theorem states that the sum of the angles in a triangle is 180°. Therefore, the third angle can always be determined.
c.All isosceles triangles are not similar. The pair of congruent angles within one triangle is not necessarily congruent to the pair of congruent angles within the other triangle.
d.All isosceles triangles are not similar. Given only the vertex angle of an isosceles triangle, there is not enough information to determine the measures of the base angles. Therefore, it is not possible to determine if the base angles of one isosceles triangle are congruent to the base angles of another.

Answers

The correct answer is:


C) All isosceles triangles are not similar. The pair of congruent angles within one triangle is not necessarily congruent to the pair of congruent angles within the other triangle.


Explanation:


Imagine we have an isosceles triangle in which the base angles are each 45°. This would make the vertex angle 90°.


Now imagine we have an isosceles triangle in which the base angles are each 30°. This would make the vertex angle 120°.


Since the angles of the first triangle are not congruent to the angles in the second triangle, the triangles are not similar.


This shows that not all isosceles triangles are similar.

Answer: c. All isosceles triangles are not similar. The pair of congruent angles within one triangle is not necessarily congruent to the pair of congruent angles within the other triangle.

Step-by-step explanation:

An isosceles triangle is a triangle that has two sides of equal length.

Also, the isosceles theorem says that  "If two sides of a triangle are congruent, then the angles opposite to these sides are congruent.

"

Consider a triangle with equal angles measure as 30°( which means the third angles will be 120°) measure and another triangle with equal angles measure as 60 ° °( which means the third angles will be 60°).

⇒ It contradicts the similarity criteria for triangle which says that in similar triangles all corresponding angles are congruent .

∴ All isosceles triangles are not similar .The pair of congruent angles within one triangle is not necessarily congruent to the pair of congruent angles within the other triangle.

You decide to put $100 in a savings account to save for a $3,000 down payment on a new car. If the account has an interest rate of 2% per year and is compounded monthly, how long does it take you to earn $3,000 without depositing any additional funds? 170.202 years
14.3129 years
171.755 years
168.354 years

Answers

It would take 171.755 years to reach three thousand dollars

20000=15000(1.072)^t

Answers


                                                 20,000 = 15,000 (1.072)^t

Divide each side by 15,000 :             4/3 = (1.072)^t

Take the log of each side:          log(4/3) = t log(1.072)

Divide each side by  log(1.072):     t = log(4/3) / log(1.072)

                                                      0.12494 / 0.03019 = 4.138  (rounded)
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