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2 years ago

Which inequality does this graph show?

Mathematics

2 answers:

VladimirAG [237]2 years ago

6 0

Answer:

y ≤ 0

Step-by-step explanation:

y ≤ 0

< or >: dashed line

≤ or ≥: solid line

≤ or <: shade below the line

≥ or >: shade above the line

Here we have:

a solid like (possibilities: ≤ or ≥)

shades below the line (≤)

Final answer, y ≤ 0

Hope this helps!

Alexandra [31]2 years ago

5 0

Answer:

The inequality is D) y is less than or equal to 0

Step-by-step explanation:

The yellow shaded area is on the 0 line and below it, making it less than or equal to 0.

-I hope this helps!

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Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarity. In the given triangle ABC, angle A

lana66690 [7]

The relationship between the lengths of the sides of a right triangle are

given by Pythagoras theorem.

Part A: ΔABC is similar to ΔADC

Part B: ΔABC and ΔADC are similar according AA similarity postulate

Part C: DA = 6

Reasons:

Part A:

∠A = 90°

Segment AD ⊥ Segment BC

Location of point D = Side BC

Part A: In triangle ΔABC, we have;

∠A = 90°, ∠B = 90° - ∠C

In triangle ΔADC, we have;

∠ADC = 90°, ∠DAC = 90° - ∠C

∴ ΔABC is similar to ΔADC by Angle-Angle, AA, Similarity Postulate

Part B: The triangles are similar according to AA similarity postulate,

because two angles in one triangle are equal to two angles in the other

triangle and therefore, by subtraction property of equality, the third angle

in both triangles are also equal.

Part C: The length of DB = 9

The length of DC = 4

Required: Length of segment DA

In triangle ΔABD, we have;

∠BDA = 90°= ∠ADC

∠DAC ≅ ∠B by Congruent Parts of Congruent Triangles are Congruent

Therefore;

ΔABD ~ ΔADC by AA similarity, which gives;

$\displaystyle \frac{\overline{DA}}{\overline{DC}} = \frac{\overline{BD}}{\overline{DA}}$

$\overline{DA}^2$ = $\overline{DC} \times \overline{BD}$

Which gives;

$\overline{DA}^2$ = 4 × 9 = 36

$\overline{DA}$ = √(36) = 6

$\overline{DA}$ = 6

Learn more here:

brainly.com/question/2269451

3 0

2 years ago

write the point slope form of the equation for a line that passes through the point 3, 1 and is parallel to the line y=3x+3

Galina-37 [17]

Answer:

y=3x-8

Step-by-step explanation:

If the line is parallel to y=3x+3, that would mean that they would have the same slope of 3. Then, once you plug it back into the equation along with the point given, you would get 1=3(3)+b. Solve from there, and you get b= -8. In conclusion, your point slope formula comes out to be y=3x-8.

Hope this helps! :)

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3 years ago

Mr.price flew 4,908 from New York then he flew 3525 miles from Hawaii to Texas how much farther was mr.price trip from New York

alexandr1967 [171]

yes yes i agree completely thats the snswet answer* 25 a b c d 46:77 77/55

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3 years ago

What is 2,484,163 written in expanded form

alexira [117]

Two million four hundred eighty four thousand one hundred sixty three

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