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konstantin123 [22]
3 years ago
10

The rectangle shown has a perimeter of 54 cm and the given area. Its length is 3 more than 3 times its width. Write and solve a

system of equations to find the dimensions of the rectangle.
The length of the rectangle is what cm ?
the width of the rectangle is
what cm.?
Mathematics
1 answer:
algol133 years ago
5 0

Answer:

Step-by-step explanation:

the perimeter P=2(L+W)=54

P=2L+2W=54 OR L+W=27

we know that L=3W+3

P=3W+W=27-3

4W=24

W=6 CM

L=21CM

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Answer the Blanks:
vfiekz [6]

Answer:

1. 90°

2. 90°

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4. 45°

5. 45°

Step-by-step explanation:

<u>Given:</u> ΔABC,

CD⊥AB,

m∠A=50°,

m∠ACB=85°

<u>Solution:</u>

1. ∠ADC is a right ange, because CD⊥AB, so

m\angle ADC=90^{\circ}

2. ∠CDB is a right ange, because CD⊥AB, so

m\angle CDB=90^{\circ}

3. Consider triangle ACD. The sum of the measures of all interior angles is always 180°, so

m\angle A+m\angle ADC+m\angle ACD=180^{\circ}\\ \\50^{\circ}+90^{\circ}+m\angle ACD=180^{\circ}\\ \\m\angle ACD=180^{\circ}-50^{\circ}-90^{\circ}=40^{\circ}

4. By Angle Addition Postulate,

m\angle ACD+m\angle BCD=m\angle ACB\\ \\40^{\circ}+m\angle BCD=85^{\circ}\\ \\m\angle BCD=85^{\circ}-40^{\circ}=45^{\circ}

5. Consider triangle ABC. The sum of the measures of all interior angles is always 180°, so

m\angle A+m\angle ACB+m\angle B=180^{\circ}\\ \\50^{\circ}+85^{\circ}+m\angle B=180^{\circ}\\ \\m\angle B=180^{\circ}-50^{\circ}-85^{\circ}=45^{\circ}

6 0
3 years ago
What is the slope of the line below?
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Sally bought a car for 35000 in 2017. If the car loses 5.5% semiannually, what will the value of the value of the car be at the
kumpel [21]
The value of the year at the end of 2025 will be given by:
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3 years ago
I really need help with my homework. <br><br> factorise 10x+25
alina1380 [7]
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