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Lady bird [3.3K]
3 years ago
8

Please can someone help my assignment​

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
3 0

Answer:

Step-by-step explanation:

In ΔJOY and ΔLAF,

If ∠O ≅ ∠J

And \frac{JO}{AL}=\frac{YO}{FA}

Then ΔJOY ~ ΔLAF

By SAS property of similarity of two triangles.

(If two corresponding sides of the triangles are proportional and angles between these sides are equal)

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Hunter and Brian are creating a poster for a project and they need to combine two different size boards to create their project.
shepuryov [24]

Answer:

<em>The maximum area of the second board must be (5x^2+3x-6) square inches.</em>

Step-by-step explanation:

The total area of two different size boards cannot exceed (7x^2-6x+2) square inches.

The area of one board is  (2x^2-9x+8) square inches.

Suppose, the area of the second board is  y square inches.

That means......

y+(2x^2-9x+8)\leq 7x^2-6x+2\\ \\ y\leq (7x^2-6x+2)-(2x^2-9x+8)\\ \\y \leq 7x^2-6x+2-2x^2+9x-8\\ \\ y\leq 5x^2+3x-6

So, the maximum area of the second board must be (5x^2+3x-6) square inches.

7 0
3 years ago
Read 2 more answers
When a plane intersects a sphere, what two-dimensional shape describes the cross-section? ​
trasher [3.6K]

Answer:

A Circle

Step-by-step explanation:

4 0
2 years ago
34
Vadim26 [7]

Answer:

They are similar by the definition of similarity in terms of a dilation

Step-by-step explanation:

The given vertices of triangle ΔABC are;

A(1, 5), B(3, 9), and C(5, 3)

The vertices of triangle ΔDEF are;

D(-3, 3), E(-2, 5), and F(-1, 2)

Therefore, we get;

The length of segment, \overline{AB} = √((9 - 5)² + (3 - 1)²) = 2·√5

The length of segment, \overline{BC} = √((9 - 3)² + (3 - 5)²) = 2·√10

The length of segment, \overline{AC} = √((5 - 3)² + (1 - 5)²) = 2·√5

The length of segment, \overline{DE} = √((5 - 3)² + (-2 - (-3))²) = √5

The length of segment, \overline{EF} = √((2 - 5)² + (-1 - (-2))²) = √10

The length of segment, \overline{DF} = √((2 - 3)² + (-1 - (-3))²) = √5

∴ \overline{AB}/\overline{DE} = 2·√5/(√5) = 2

\overline{BC}/\overline{EF} = 2·√10/(√10) = 2

\overline{AC}/\overline{DF} = 2·√5/(√5) = 2

The ratio of their corresponding sides are equal and therefore;

ΔABC and ΔDEF are similar by the definition of similarity in terms of dilation.

4 0
3 years ago
Write the following ratio using two other notations. 7 to 6
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7:6 and 7/6. hope this helps.
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WILL MARK BRANLIEST, FOLLOW YOU, AND SAY UR THE BEST ON UR PROFILE
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The first one should be -24
2 is d there is no reason for those numbers to be negative
3=B
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