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3 years ago

How do you know in what direction to shade on the line?Explain.

Mathematics

1 answer:

aksik [14]3 years ago

4 0

Answer:

Shade the top side of the boundary line if you have the inequality symbols > or ≥. Shade the bottom side of the boundary line if you have the inequality symbols < or ≤.

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-4+2(12)<br> ————<br> -3(-3)-(-1)

dsp73

Answer:

20/10 is 2

final answer is 2

8 0

3 years ago

Triangle DEF (not shown) is similar to ABC shown, with angle B congruent to angle E and angle C congruent to angle F. The length

Bezzdna [24]

Answer:

Area of ΔDEF is $45\ cm^2$ .

Step-by-step explanation:

Given;

ΔABC and ΔDEF is similar and ∠B ≅ ∠E.

Length of AB = $2\ cm$ and

Length of DE = $6\ cm$

Area of ΔABC = $5\ cm^2$

Solution,

Since, ΔABC and ΔDEF is similar and ∠B ≅ ∠E.

Therefore,

$\frac{Area\ of\ triangle\ 1}{Area\ of\ triangle\ 2} =\frac{AB^2}{DE^2}$

Where triangle 1 and triangle 2 is ΔABC and ΔDEF respectively.

If two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides.

$\frac{5}{Area\ of\ triangle\ 2} =\frac{2^2}{6^2}\\ \frac{5}{Area\ of\ triangle\ 2}=\frac{4}{36}\\ Area\ of\ triangle\ 2=\frac{5\times36}{4} =5\times9=45\ cm^2$

Thus the area of ΔDEF is $45\ cm^2$ .

4 0

3 years ago

Read 2 more answers

Consider a figure in a coordinate plane. For each of the transformations below, first transform the figure as stated. Then rever

prohojiy [21]

Answer:

transformation is a function that takes points on the plane and maps them to other points on

the plane. Transformations can be applied one after the other in a sequence where you use the

image of the first transformation as the preimage for the next transformation.

Find the image for each sequence of transformations.

 Using geometry software, draw a triangle and label the

vertices A, B, and C. Then draw a point outside the

triangle and label it P.

Rotate △ABC 30° around point P and label the image as

△A′B′C ′. Then rotate △A′B′C ′ 45° around point P and

label the image as △A″B″C ″. Sketch your result.

 Make a conjecture regarding a single rotation that will map △ABC to △A″B″C″.

Check your conjecture, and describe what you did.

 Using geometry software, draw a triangle and label the

vertices D, E, and F. Then draw t

Step-by-step explanation:

7 0

4 years ago

Can someone help me on this one

max2010maxim [7]

Answer:

Cosine Ratio

Step-by-step explanation:

Cos = adjacent / hypotenuse

43 is the adjacent and the variable is the hypotenuse.

5 0

3 years ago

Eric has two number cubes each labeled 1 to 6. Eric is going to conduct an experiment by tossing the cubes a total of 180 times.

Lera25 [3.4K]

The possible outcomes are:
$1,1~~1,2~~1,3~~1,4~~1,5~~1,6$
$2,1~~2,2~~2,3~~2,4~~2,5~~2,6$
$3,1~~3,2~~3,3~~3,4~~3,5~~3,6$
$4,1~~4,2~~4,3~~4,4~~4,5~~4,6$
$5,1~~5,2~~5,3~~5,4~~5,5~~5,6$
$6,1~~6,2~~6,3~~6,4~~6,5~~6,6$

The possible products are:
$1~~2~~3~~4~~5~~6$
$2~~4~~6~~8~~10~~12$
$3~~6~~9~~12~~15~~18$
$4~~8~~12~~16~~20~~24$
$5~~10~~15~~20~~25~~30$
$6~~12~~18~~24~~30~~36$

a) There are 36 outcomes.

b) 5/36 * 180 = 25

c) 6/36 * 180 = 30

d) 16/36 * 180 = 80

7 0

3 years ago