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uysha [10]
3 years ago
9

10 point Congruence screen shots to help

Mathematics
1 answer:
sashaice [31]3 years ago
7 0
Answer: Alternate Interior Angles Theorem

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A poster is to have a total area of 125 cm2. There is a margin round the edges of 6 cm at the top and 4 cm at the sides and bott
jeka57 [31]

Answer:

The correct answer is 15 cm.

Step-by-step explanation:

Let the width of the required poster be a cm.

We need to have a 6 cm margin at the top and a 4 cm margin at the bottom. Thus total margin combining top and bottom is 10 cm.

Similarly total margin combining both the sides is (4+4=) 8 cm.

So the required printing area of the poster is given by {( a-10 ) × ( a - 8) } cm^{2}

This area is equal to 125 cm^{2} as per as the given problem.

∴ (a - 10) × (a - 8) = 125

⇒ a^{2} - 18 a +80 -125 =0

⇒ a^{2} - 18 a -45 = 0

⇒ (a-15) (a-3) = 0

By law of trichotomy the possible values of a are 15 and 3.

But a=3 is absurd as a > 4.

Thus the required answer is 15 cm.

7 0
2 years ago
Read 2 more answers
What is the perimeter of the 9-inch by 12-inch photo?
DanielleElmas [232]

9+9+12+12.

24+18.

Answer? 42 inches

4 0
2 years ago
Read 2 more answers
A cone has a radius of 6.2 mm and a height of 10.8 mm. What is the volume of the cone to the nearest tenth? use π = 3.14
guapka [62]

\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}

Actually Welcome to the Concept of the volumes.

Here given as, r= 6.2 mm, h = 10.8 mm, π=3.14

hence, the volume of the cone is

Volume = 1/3(πr^2h)

===> vol = 1/3(3.14*(6.2)^2*(10.8))

==> Vol = 1/3*(1303.57)

==> Vol = 434.52 mm^3

Hence the volume of the cone is 434.52 mm^3

7 0
2 years ago
Read 2 more answers
A firm buys components from two suppliers: 60 percent from supplier A and the rest from supplier B. It so happens that 9 percent
Llana [10]

Answer:

0.114,0.5263

Step-by-step explanation:

Given that a firm buys  components from two suppliers:

A : 60%  Defective 9%

B:40%  Defective 15%

a) the probability that the next component the firm buys is defective

=prob purchased from A and defective + prob purchased from B and defective

= 0.60(0.09)+0.40(0.15)\\= 0.054+0.06\\=0.114

b)  the probability that the component that the firm buys is from supplier B if we know that it is defective

=Prob from B and defective/Prob defective

= \frac{0.40(0.15)}{0.114} \\=0.5263

8 0
3 years ago
Solve the following system of equations graphically. x = -5 y = -6 What is the solution set ????
Dmitry_Shevchenko [17]
Your answer would be B.

Hope this helps.

8 0
3 years ago
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