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2 years ago

If 3t-7=5t, then 6t#

1 answer:

3 0

Here, 3t - 7 = 5t
5t - 3t = -7
2t = -7
t = -7/2

Then, 6t = 6(-7/2) = 3(-7) = -21

In short, Your Answer would be -21

Hope this helps!

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The 30 members of a choir are trying to raise at least $1,500 to cover travel costs to a singing camp. They already have $600. W

ryzh [129]

The choir members need $1500, but they have $600. Therefore, they need $1500-$600=$900 more.

Call a the average amount raised by a member. We see that 30a >= $900. Dividing by 30, we find that a >= $30, so the average member must raise at least $30.

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2 years ago

7. In the figure below, lines p and q are parallel. The measure of 23 = 126°.

damaskus [11]

Answer:

You just subtract 126 degrees from 180 degrees = 34 degrees for all angles

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2 years ago

Given: WXYZ is a parallelogram, ZX ≅ WY

Mrrafil [7]

Answer:

Step-by-step explanation:

Given: WXYZ is a parallelogram, ZX ≅ WY

Prove: WXYZ is a rectangle

Proof:

Step 1. WXYZ is a parallelogram and ZX ≅ WY (Given)

Step 2. ZY ≅ WX (Opposite sides of parallelogram are congruent)

Step 3. YX ≅ YX (Reflexive Property)

Step 4. Consider △ZYX and △WXY, we have

ZX ≅ WY (Given)

ZY ≅ WX (Opposite sides of parallelogram are congruent)

YX ≅ YX (Reflexive Property)

Thus, by SSS rule, △ZYX ≅ △WXY

Step 5. By CPCTC, ∠ZYX ≅ ∠WXY

Step 6. m∠ZYX ≅ m∠WXY (Definition of congruency)

Step 7. m∠ZYX + m∠WXY = 180° ( consecutive ∠s in a parallelogram are supplementary)

Step 8. m∠ZYX + m∠ZYX = 180° (Substitution)

Step 9. 2(m∠ZYX) = 180° (Simplification)

Step 10. m∠ZYX = 90° (Dividing property of equality)

Step 11. WXYZ is a rectangle (Rectangle angle theorem)

Hence proved.

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2 years ago

The widths (in meters) of a kidney-shaped swimming pool were measured at 3-meter intervals as indicated in the figure. Use the M

forsale [732]

We can used the Simpson's Rule says to approximate the area under a given curve using the following formula:

(Δx/3)[f(x0) + 4f(x1) + 2f(x2) + 4f(x3) + ... + 2f(xn-2) + 4f(xn-1) + f(xn)] 

The pool is divided into 8 subintervals. We integrate the given function from 0 to 24, while the graph provides values of f(x) at 7 different points. The first value given, 6.2, is NOT f(0). It is f(3). Using Simpson's Rule, and dividing the lake of 24 meters into 8 subintervals, we write the equation: 

area = (3/3)[f(0) + 4f(3) + 2f(6) + 4f(9) +2f(12) + 4f(15) + 2f(18) + 4f(21) + f(24)] 

Pool area = 0 + 4(6.2) + 2(7.2) +4(6.8) + 2(5.6) + 4(5.0) +2(4.8) +4(4.8) + 0 = 126.4 m^2 

Rounding to the nearest square meter, the area of the lake is approximately 126 m^2

6 0

2 years ago

Read 2 more answers

Factor the polynomial completely using the X method. x2 + 13x – 48 An x-method chart shows the product a c at the top of x and b

PSYCHO15rus [73]

Answer:

Step-by-step explanation:

The constant term of x^2 + 13x – 48 factors into either (3)(-16) or (-3)(16).

Note how 16 - 3 = 13, which is the coefficient of the middle term. Thus, the factors are

(x + 16)(x - 3) which is equivalent to x^2 + 16x - 3x - 48, or x^2 + 13x - 48.

8 0

2 years ago