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3 years ago

15

LT1 10th grade level

1 answer:

telo118 [61]3 years ago

8 0

Answer:

<h2>SAS.</h2>

Here angle ABC = angle HGF ......( each 90° )

and other two corresponding sides are similar...

therefore, two sides and one Angle...

hence, SAS Test.

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Luis and Jordan built a platform to use on stage during the school play. The platform is made of two rectangular prisms as shown

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64

Step-by-step explanation:

5ft x 4ft = 20

4ft x 6ft = 24

5ft x 4ft =20

24+20+20=64

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3 years ago

Convert -450° from degrees to radians. (5 points)

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Mary bought 13 gallons of gas that cost $47.71. Each gallon of gas cost the same amount. Which equation represents the cost, c,

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3 years ago

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3 years ago

Question 1: Classify the system of equations and identify the number of solutions. 7x + 3y = 10 3y = 9 − 7x Answers: consistent,

Vladimir [108]

Answer:

1. The equations is inconsistent and has no solution

2. The equations is consistent and has no solution

3. A pen costs $1.50 and a notebook costs $2.00

Step-by-step explanation:

Solving $7x + 3y = 10$ and $3y = 9 - 7x$

$7x + 3y = 10$ --- Equation 1

$3y = 9 - 7x$ --- Equation 2

Add 7x to both sides in equation 2

$7x + 3y = 9 - 7x + 7x$

$7x + 3y = 9$ --- Equation 3

Subtract equation 3 from 1

$(7x + 3y = 10) - (7x + 3y = 9)$

$7x - 7x + 3y - 3y = 10 - 9$

$0 + 0 = 1$

$0 \neq 1$

The equations is inconsistent and has no solution

Solving $3x + y = 4$ and $12x + 4y = 16$

$3x + y = 4$ -- Equation 1

$12x + 4y = 16$ ---- Equation 2

Make y the subject of formula in equation 1

$y = 4 - 3x$

Substitute 4 - 3x for y in equation 2

$12x + 4(4 - 3x) = 16$

$12x + 16 - 12x = 16$

Collect Like Terms

$12x - 12x = 16 - 16$

$0 = 0$

The equations is consistent and has no solution

3. Solving <em>John and Harry</em>

Given;

<em>Represent Pen with P and Notes with N</em>

John: $3P + 8N = 20.5$

Harry: $4P + 5N = 16.00$

Required

Find P and N

Make P the subject of formula in equation 2

$4P = 16 - 5N$

$P = \frac{16 - 5N}{4}$

Substitute $P = \frac{16 - 5N}{4}$ in equation 1

$3P + 8N = 20.5$

$3(\frac{16 - 5N}{4}) + 8N = 20.5$

Open the bracket

$\frac{48 - 15N}{4} + 8N = 20.5$

Take LCM

$\frac{48 - 15N + 32N}{4} = 20.5$

$\frac{48 + 17N}{4} = 20.5$

Multiply both sides by 4

$4 * \frac{48 + 17N}{4} = 20.5 * 4$

$48 + 17N = 82$

Subtract 48 from both sides

$48 - 48 + 17N = 82 - 48$

$17N = 82 - 48$

$17N = 34$

Divide both sides by 17

$17N/17 = 34/17$

$N = 34/17$

$N = 2$

Substitute 2 for N in $P = \frac{16 - 5N}{4}$

$P = \frac{16 - 5 * 2}{4}$

$P = \frac{16 - 10}{4}$

$P = \frac{6}{4}$

$P = 1.5$

<em>Hence, a pen costs $1.50 and a notebook costs $2.00</em>

5 0

3 years ago