MATHEMATICS HIGH SCHOOL

Solve a/3 + 4 = 6
a=

Answers

Answer 1

Answer:

Answer:

a = 6

Step-by-step explanation:

Given

$(a)/(3)$ + 4 = 6 ( subtract 4 from both sides )

$(a)/(3)$ = 2 ( multiply both sides by 3 to clear the fraction )

a = 6

Answer 2

Answer:

Answer:

a=6

Step-by-step explanation:

a/3=6-4

a/3=2

a=6

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An accurate answer would be appreciated. please and thank you

K=A+32 solve for Variable A

Answers

$K=A+32\n\nA+32=K\ \ \ \ |subtract\ 32\ from\ both\ sides\n\n\boxed{A=K-32}$

K=A+32
A=K-32
.........

4 pints of ketchup and 1.25 quarts of ketchup. which is a better bargian?

Answers

4 pints. There are 4 quarts in a gallon. There is 2 pints in each quart.

It depends on the prices. If they are both priced the same, then the answer would be 1.25 quarts. It is larger than 4 pints.

Berta determined that the solution is (–2, 3). Which could have been the equation Berta found in step 1? 4x = 0 5x = 10 5x = –10 5x = –25

Answers

The equation that Berta determined could be 5x = - 10.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, Berta determined that the solution is (- 2, 3).

From the given options the only x-coordinate value satisfying is

5x = - 10.

As at x = - 2.

5(-2) = - 10.

- 10 = - 10.

The solution (- 2, 3) can also be called as an ordered pair.

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Answer:

Answer is 5x=-10

Step-by-step explanation:

I just did the assignment.

The function f(x) = −x^2 − 5x + 50 shows the relationship between the vertical distance of a diver from a pool's surface f(x), in feet, and the horizontal distance x, in feet, of a diver from the diving board. What is a zero of f(x), and what does it represent?A. x = 5; the diver jumps in the pool at 5 feet per second
B. x = 10; the diver jumps in the pool at 10 feet per second
C. x = 10; the diver hits the water 10 feet horizontally from the board
D. x = 5; the diver hits the water 5 feet away horizontally from the board

Answers

We will solve the equation to find a zero of f(x): $-x^(2)-5x+50=0$
The formula is: $x_(12) = \frac{-b\pm \sqrt{b^(2)-4ac } }{2a}$ where:
a=-1, b=-5, c =50 $x_(12) = (5\pm √(25+200) )/(-2)= (5\pm √(225) )/(-2)= (-10)/(-2)=5$ This is the only solution because the other is: $(5+10)/(-2)= (15)/(-2)=-7.5$ which is not possible.
Answer: D) The diver hits the water 5 feet away horizontally from the board.

How many core are there in 20 millon

Answers

Answer:

2 crore are there in 20 million.

Step-by-step explanation:

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Now,

10millions=1crore

20millions=1/10*20

=2crore

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Which of the following is true about a parallelogram? A. Opposite angles of a parallelogram are not congruent. B. Parallelograms always have four congruent sides. C. Only two sides of a parallelogram are parallel. D. The diagonals of a parallelogram always bisect each other.

Answers

Answer: The option is D.

Step-by-step explanation:

A line that intersects another line segment and separates it into two equal parts is called a bisector.

In a quadrangle, the line connecting two opposite corners is called a diagonal. We will show that in a parallelogram, each diagonal bisects the other diagonal.

Problem

ABCD is a parallelogram, and AC and BD are its two diagonals. Show that AO = OC and that BO = OD

Strategy

Once again, since we are trying to show line segments are equal, we will use congruent triangles. And here, the triangles practically present themselves. Let’s start with showing that AO is equal in length to OC, by using the two triangles in which AO and OC are sides: ΔAOD and ΔCOB.

There are all sorts of equal angles here that we can use. Several pairs of (equal) vertical angles, and several pairs of alternating angles created by a transversal line intersecting two parallel lines. So finding equal angles is not a problem. But we need at least one side, in addition to the angles, to show congruency.

As we have already proven, the opposite sides of a parallelogram are equal in size, giving us our needed side.

Once we show that ΔAOD and ΔCOB are congruent, we will have the proof needed, not just for AO=OC, but for both diagonals, since BO and OD are alsocorresponding sides of these same congruent triangles.

ABCD is a parallelogram

Given

AD || BC

From the definition of a parallelogram

AD = BC Opposite sides of a parallelogram are equal in size

∠OBC ≅ ∠ODA Alternate Interior Angles Theorem, ∠OCB ≅ ∠OAD Alternate Interior Angles Theorem,

ΔOBC ≅ ΔODA

Angle-Side-Angle

BO=OD Corresponding sides in congruent triangles AO=OC Corresponding sides in congruent triangles.

Final answer:

The correct statement about parallelograms is that their diagonals always bisect each other. Opposite angles in a parallelogram are congruent and, while a parallelogram has two pairs of parallel sides, these sides are not necessarily congruent.

Explanation:

In answering your question, which of the following is true about a parallelogram? It's important to understand some key properties of parallelograms. The statement 'D. The diagonals of a parallelogram always bisect each other' is the correct one. In simple terms, this means that the diagonals of a parallelogram always cut each other exactly in half. By contrast, 'A. Opposite angles of a parallelogram are not congruent' is incorrect, because in a parallelogram, opposite angles are indeed congruent. 'B. Parallelograms always have four congruent sides' and 'C. Only two sides of a parallelogram are parallel' are also incorrect, because while a parallelogram does have two pairs of parallel sides, these sides are not necessarily congruent.