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3 years ago

Rounding and Estimating Whole Numbers explain what is it and what to do

1 answer:

5 0

Rounding numbers means you change the number to a closer, easier number. For example if you want to round 56 to the nearest tenth, it would round to 60.
Estimating numbers is when you guess numbers. For example, if you want to estimate the measure used to measure a bed, i would estimate feet.
I hope this helped:))

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decide whether enough information is given to prove that the triangle is congruent using the SAS congruence theorem. if so, writ

Paladinen [302]

Answer:

Step-by-step explanation:

Given:

ΔCAD and ΔCBD

∠A ≅∠B (Angle)

AD ≅BD (Side)

From the graph we see that

CD≅CD (Side)

because of reflexive propriety ( a line segment is congruent with itself)

If you put in order those congruencies we have SSA witch does NOT prove congruence.

we not use SAS because the angle between the sides is not congruent

8 0

3 years ago

Using the pythagorean theorem, calculate the length of the missing sides (c1, c2, c3)

katrin [286]

Answer:

the Pythagorean theorem states: a^2 + b^2 = c^2

1) in this case a=18 and b1=25

18^2 + 25^2 = c1^2

324 + 625 = c1^2

949 = c1^2

√949 = c1

cca. 30.8 = c1

2) in this case a=18 and b' = b2 - b1 = 40 - 25 = 15

in the picture im attaching i highlighted the triangles we are working with, and there you can clearly see that b' (the horizontal line at the bottom of the red tr.) is the difference between the lines b2 and b1

now you can use the same technique as in the first case, and the final answer will be cca. 23.4 = c2

3) in this case a=18 and b'' = b4 - b3 = 75 - 55 = 20

same thing as number 2, final answer cca. 26.9 = c3

4 0

3 years ago

Use elimination to solve.<br> 3y-6x=7<br> -4y-3x=9

shtirl [24]

Answer:

x = -5/3, y = -1 or $(-\frac{5}{3}, -1)$

Step-by-step explanation:

Solving systems of linear equations using process of elimination involves eliminating one of the variables (and its coefficient) in order to solve the other variable either through addition or subtraction. However, there may be other mathematical operations necessary before one of the variables can be eliminated.

Equation 1: 3y - 6x = 7

Equation 2: -4y - 3x = 9

<h3>Step 1: Multiply Equation 2 by -2:</h3>

(-2)(-4y - 3x) = 9 (-2)

8y + 6x = -18

<h3>Step 2: Add "8y + 6x = -18" to Equation 1:</h3>

8y + 6x = -18

+ 3y - 6x = 7

11y = -11

<h3>Step 3: Divide both sides by 11 to solve for y:</h3>

$\frac{11y}{11} = \frac{-11}{11}$

y = -1

<h3>Step 4: Substitute y = -1 into Equation 2 to solve for x: </h3>

-4(-1) - 3x = 9

4 - 3x = 9

<h3>Step 5: Subtract 4 from both sides:</h3>

4 - 4 - 3x = 9 - 4

- 3x = 5

<h3>Step 6: Divide both sides by -3 to solve for x:</h3>

$\frac{-3x}{-3} = \frac{5}{-3}$

$x = - \frac{5}{3}$

Verify whether the values for x and y are correct by substituting their values into both equations:

x = -5/3, y = -1

Equation 1: 3y - 6x = 7

$3(-1) - 6(-\frac{5}{3}) = 7$

-3 + 10 = 7

7 = 7 (True statement).

Equation 2: -4y - 3x = 9

-4(-1) - 3 (-5/3) = 9

$-4(-1) - 3(-\frac{5}{3}) = 9$

4 + 5 = 9

9 = 9 (True statement).

Therefore, x = -5/3 and y = -1 are the solutions to the given systems of linear equations.

8 0

2 years ago

Ten out of 40 students made an A on their English test. Mr. Harris wants the same proportion of students to gen an A on his hist

FromTheMoon [43]

Answer:

15/60

Step-by-step explanation:

10/40 is equivalent to 5/20, and you can multiply the top and bottom of this fraction by 3 to get 15/60

4 0

3 years ago

What does the diagonal of a rhombus mean

const2013 [10]

Diagonals of a rhombus
In any rhombus, the diagonals (lines linking opposite corners) bisect each other at right angles (90°). That is, each diagonal cuts the other into two equal parts, and the angle where they cross is always 90 degrees.

6 0

3 years ago