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lyudmila [28]
2 years ago
5

What are the values of a and b?

Mathematics
1 answer:
aleksklad [387]2 years ago
6 0

Answer: A

Step-by-step explanation: While I'm sure there is an equation to solve this which I don't remember I used process of elimination to solve this, there are two right triangle and one of the triangles is sides a, 2, and b. Since B is across from the right angle, it is the hypotenuse, therefore b is greater than a, that means d and b cannot be correct, since a is the same in a and c, we can assume a=8, using Pythagorean Theorem. 8^2 + 2^2= b^2.

b^2 = 68

the square root of 68 can be simplified to 2 * square root of 17

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Add or subtract. –16 + (-14) + (-35)
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Answer:

-65

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3 years ago
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2. ALMN and APMN are shown below. What additional information is necessary to prove
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Answer:

The additional information necessary is option;

D. \overline {MN} ⊥  \overline {LP}

Step-by-step explanation:

From the given figure, we have;

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The Hypotenuse Leg HL theorem of congruency is used to prove that a given number of right triangles based on the lengths of their hypotenuse and one of the legs. It states that two or more right triangles are congruent if they have equal lengths of both their corresponding hypotenuse side and one leg

To prove that ΔLMN and ΔPMN are congruent by HL, we will also be required to prove that ΔLMN and ΔPMN are right triangles

For ΔLMN and ΔPMN to be right triangles, the angles, ∠LNM and ∠PNM should be right angles = 90°

With ∠LNM = ∠PNM = 90°, then, line \overline {MN} is perpendicular to line \overline {LP} or  \overline {MN} ⊥  \overline {LP}

Therefore, the additional information necessary to prove that ΔLMN ≅ ΔPMN by HL is \overline {MN} ⊥  \overline {LP}.

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3 years ago
What additional piece of information would prove △LMK≅△NMK by Side Angle Side?
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angle M

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if you are using side angle side the two sides may be

line LK and NK

and angle M

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