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stira [4]
3 years ago
8

If triangle abc is congruent with triangle DEF, then the measure of angle b is:

Mathematics
2 answers:
gladu [14]3 years ago
6 0
Which property of congruence whould prove BD ≡ BD?

The triangle ABD and CBD has the same side = BD
Because they get the same side, they applied to the rule "reflexive property".
If you look at ABD, CBD, they are reflecting each other like a mirror.

The answer is first option
inn [45]3 years ago
3 0
Hey! Let me help you on this one.

First of all, let's examine these two triangles.

Yes, they are indeed congruent. For example, angle D is congruent to angle A.

In order for us to find measures of angle B, let's find the measure of its congruent angle - E

In order for us to find it, we need to know that if we add all the measures of angles, we will get 180. 

74+50+x=180

Now, let's solve this

x= 180-74-50

Simplify it.

X= 56

As we can see, E is set at 56 degrees, meaning that the angle congruent to it is also set at 56 degrees.

Answer: Measure of angle B is 56 degrees.
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40% of 50 is what number
nikitadnepr [17]

20

Step-by-step explanation:

Step 1:

Let the number be 50 and to find 40% of  50 is given interms of expression as follows

To express the percentage the following strategy is used

Eg: 40% = 40/100

∴ To express 40% of 50 is

(40/100)*50

Step 2:

On simplification the above expression we could get

0.4*50

= 20

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Step-by-step explanation:

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3 years ago
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A cube made out of lead has a mass of 12 grams. A side of the cube has length 1 cm. What would be the mass of the cube whose sid
Ulleksa [173]

Answer:

<h3><em><u>The mass of a lead cube whose </u></em><em><u>side </u></em><em><u>have length 1.5 cm is 40.5 </u></em><em><u>grams</u></em></h3>

Step-by-step explanation:

<u>1. Let's review the information given to</u>

<u>1. Let's review the information given tous to answer the question correctly:</u>

<u>1. Let's review the information given tous to answer the question correctly:Mass of the cube made out of lead</u> = 12

= 12grams

Side of the cube <em>= 1 cm</em>

2. <em><u>What would be the mass of a lead</u></em>

<em><u>What would be the mass of a leadcube whose sides have length 1.5 cm?</u></em>

<em><u>What would be the mass of a leadcube whose sides have length 1.5 cm?For answering the question, let's</u></em>

<em><u>What would be the mass of a leadcube whose sides have length 1.5 cm?For answering the question, let'scalculate the volume of the cube and</u></em>

<em><u>What would be the mass of a leadcube whose sides have length 1.5 cm?For answering the question, let'scalculate the volume of the cube andthen its density, this way:</u></em>

<h3>Volume = Height* Width * Length</h3><h3>Volume=1*1*1</h3><h3>Volume =1 cm</h3>

Let's recall the formula of the density:

Density Mass/Volume, therefore:

Density of the lead <em><u>= 12/1= 12 gr/</u></em><em><u>cm</u></em>

<em><u>Now, let's calculate the volume of the</u></em>

<em><u>Now, let's calculate the volume of thesecond cube:</u></em>

<h3><em>Volume = Height Width Length</em></h3><h3><em>Volume = Height Width LengthVolume 1.5 * 1.5 1.5</em></h3><h3><em>Volume = Height Width LengthVolume 1.5 * 1.5 1.5Volume =3.375 cm3</em></h3>

<u>Finally, let's calculate the mass, using</u>

<u>Finally, let's calculate the mass, usingthe density of the lead we already</u>

<u>Finally, let's calculate the mass, usingthe density of the lead we alreadyknow:</u>

<h3>Density = Mass/Volume</h3><h3><em>12 Mass/3.375</em></h3><h3><em>12 Mass/3.375Mass 12 *3.375</em></h3><h3><em>12 Mass/3.375Mass 12 *3.375Mass = 40.5 gramss</em></h3>
8 0
2 years ago
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