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Ann [662]
3 years ago
8

If ABC = DEC, B= 44º and E= 4x x= [?]

Mathematics
2 answers:
Effectus [21]3 years ago
6 0

Answer:

Step-by-step explanation:

Given that

∆ABC is similar to ∆DEC

This. Implies that

Angle A=D,

Angle B=E

Angle C=C, as expected

Given that B=44°

And E= 4x

Since, we know that B=E

Then,

4x=44

Divide both side by 4

x=44/4

x=11

The value of x is 11

kolezko [41]3 years ago
5 0

Value of x is 11

Step-by-step explanation:

  • Step 1: Find x when ΔABC ≅ ΔDEC.

When these two triangles are congruent, their corresponding angles and sides will be equal.

⇒ ∠B = ∠E

⇒ 44° = 4x

∴ x = 44/4 = 11

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Suppose you have a group of 8 male and 4 female volunteers. how many ways are there to choose 6 of these volunteers for a treatm
Kay [80]
Since volunteers can be of any sexe (no precision given in your problem), then we can consider the question as  how many group of 6 we can make with 12 persons:
It's a combination of 6 chosen among 12

¹²C₆ = (12!)/(6!).(12-6!)

²C₆ = (12!)/(6!).(6!)<span>

</span>¹²C<span>₆</span> = 924 Ways

6 0
3 years ago
If the crate took 8 seconds to go from traveling at 2 meters per second one way to moving at 2 meters per second in the opposite
Angelina_Jolie [31]

Answer:

-0.5 ms^-2

Step-by-step explanation:

The initial velocity (u) = 2 ms-1

Final velocity (v) = 2 ms-1

Time taken (t) = 8 seconds

However the question clearly says that the final velocity is in opposite direction to the initial velocity. This implies that we have (-v), final velocity in opposite direction.

We must recall that vectors in opposite direction are commonly shown using a negative sign. Velocity is a vector, hence it possesses both magnitude and direction as we can see from the question.

Hence;

From a= v-u/t

a= (-2) - 2 / 8 = -0.5 ms^-2

Hence the acceleration of the crate is -0.5 ms^-2

3 0
2 years ago
glenn races his motorcycle 30 times last season. he finished first 12 times, second 5 times and crashed in 9 races. what percent
zaharov [31]
We know that

[<span>percent of the races did Glenn crash]={[races crashed]/[total races]}*100
</span>[percent of the races did Glenn crash]={[9]/[30]}*100
[percent of the races did Glenn crash]=[0.30]*100=30%

the answer is 30%
4 0
3 years ago
A dice is rolled 4 times. What is the probability of showing a 6 on every roll?
marin [14]

Answer:

4/24 times

Step-by-step explanation:

Since there are 6 sides on a dice and it's rolled 4 times you would need to do 6*4 which is 24, then every number could have the probability of 4/24 to get rolled every time.

5 0
2 years ago
Find the integer that lies between <img src="https://tex.z-dn.net/?f=%24%5Csqrt%5B3%5D%7B-45%7D%24%20and%20%24%5Csqrt%5B3%5D%7B-
Romashka-Z-Leto [24]

∛(-45) = ∛((-1) × 45) = ∛(-1) × ∛45 = -∛45

Similarly,

∛(-101) = - ∛101

Now,

• 3³ = 27 and 4³ = 64, and 27 < 46 < 64, so ∛27 < ∛45 < ∛64, which places ∛45 between 3 and 4

• 5³ = 125, so ∛101 would similarly fall between 4 and 5

So to summarize, we have

3 < ∛45 < 4 < ∛101 < 5

so that

-5 < ∛(-45) < -4 < ∛(-101) < -3

so the integer between these numbers is -4.

4 0
2 years ago
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