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3 years ago

Which descriptions from the list below accurately describe the relationship between ABC and DEF? Check all that apply

Mathematics

2 answers:

uysha [10]3 years ago

6 0

Answer:

A) Same shape

D) Similar

Step-by-step explanation:

In the given triangles ABC and DEF,

m∠A = m∠ D = 94°

m∠B = m∠ E = 42°

m∠C = m∠ F = 44°

Hence, ∠A≅∠D, ∠B≅∠E and ∠C≅∠F

Thus, by the AAA similarity postulate,

Triangles ABC and DEF are similar,

⇒ Option D is correct.

Since, when two triangles are similar then have the same shape.

⇒ Option A is correct.

Since, none of any corresponding sides of triangle ABC and triangle DEF are congruent,

That's why they can not be congruent.

⇒ Option B is incorrect.

Since, two triangles are called in shape size if only if they are congruent,

⇒ Triangles ABC and DEF are not having the same size,

⇒ Option C is incorrect.

Mamont248 [21]3 years ago

5 0

A. Same shape
D. Similar

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Which of the points is NOT one of the vertices (s,t) of the shaded region of the set of inequalities shown below?

lorasvet [3.4K]

Answer:

Option D

Step-by-step explanation:

Given: set of inequalities

To find: Points which do not satisfy all the inequalities

Solution:

For point $(15,0)$ :

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So, (15, 0) satisfies all the inequalities

For point $(7.5,7.5)$ :

$7.5\leq 30-3(7.5)=30-22.5=7.5\\7.5\geq 15-7.5=7.5\\7.5\leq 25-7.5=17.5\\7.5\geq 0\\7.5\geq 0$

So, (7.5, 7.5) satisfies all the inequalities

For point (22.5,2.5):

$22.5\leq 30-3(2.5)=30-7.5=22.5\\22.5\geq 15-2.5=12.5\\22.5\leq 25-2.5=22.5\\22.5\geq 0\\2.5\geq 0\\$

So, (22.5,2.5) satisfies all the inequalities

For point (7.5 ,0):

Put s = 7.5 and t = 0 in $s\geq 15-t$

$7.5\geq 15-0=15$ which is false

So, $(s,t)\neq (7.5,0)$

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3 years ago

Is that correct ????

Travka [436]

Yes I believe it is :)

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3 years ago

If the distance is above 275 and the time is 7 hrs What is kerri's speed?

pshichka [43]

Answer:

Kerri's speed would be 39.29mph

Step-by-step explanation:

In order to find this, we just need to divide the distance by the time.

275miles/7hrs = 39.29mph

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3 years ago

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3 years ago

Isabella deposited $500 into a savings account at a local bank that earned 5% interest per year. How much interest does she earn

Marat540 [252]

Answer:

$25

Step-by-step explanation:

First, converting R percent to r a decimal

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The simple interest accumulated

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2 years ago