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Trava [24]
3 years ago
15

URGENT!!!

Mathematics
1 answer:
Makovka662 [10]3 years ago
8 0

Answer:

Train A - 50 miles per hour

train B - 30 miles per hour

Step-by-step explanation:

Let x mph be the speed of the train B, then the speed of the train A is (x+20) mph.

In 3 hours,

  • train A travels 3(x+20) miles
  • train B travels 3x miles

In total, they covered the distance of 240 miles, so

3(x+20)+3x=240\ \ \ \text{[Divide by 3]}\\ \\x+20+x=80\\ \\2x=80-20\\ \\2x=60\\ \\x=30\ mph\\ \\x+20=30+20=50\ mph

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Simplify: −6( 1 4 x - 2 3 x + 5 6 x)
Kisachek [45]

Answer:

= - 282x

Step-by-step explanation:

- 6(14x - 23x + 56x)

= - 84x + 138x - 336x

= 54x - 336x

= - 282x

3 0
3 years ago
Read 2 more answers
In the figure, AB is parallel to CD, XY is the perpendicular bisector of AB, and E is the midpoint of XY. Prove that △AEB ≅ △DEC
Makovka662 [10]

Answer:

From top to bottom:

A, J, E, B, I, C, D, G, F, H

See below for more clarification.

Step-by-step explanation:

We are given that AB is parallel to CD, XY is the perpendicular bisector of AB, and E is the midpoint of XY. And we want to prove that ΔAEB ≅ ΔDEC.

Statements:

1) XY is perpendicular to AB.

Definition of perpendicular bisector.

2) XY ⊥ CD.

In a plane, if a transveral is perpendicular to one of the two parallel lines, then it is perpendicular to the other.

3) m∠AXE = 90°, m∠DYE = 90°.

Definition of perpendicular lines.

4) ∠AXE ≅ ∠DYE.

Right angles are congruent.

5) XE ≅ YE

Definition of a midpoint.

6) ∠A ≅ ∠D.

Alternate Interior Angles Theorem

7) ΔAEX ≅ ΔDEY

AAS Triangle Congruence*

(*∠A ≅ ∠D, ∠AXE ≅ ∠DYE, and XE ≅ YE)

8) AE ≅ DE

Corresponding parts of congruent triangles are congruent (CPCTC).

9) ∠AEB ≅ ∠DEC

Vertical Angles Theorem

10) ΔAEB ≅ ΔDEC

ASA Triangle Congruence**

(**∠A ≅ ∠D, AE ≅ DE, and ∠AEB ≅ ∠DEC)

3 0
3 years ago
Nanci needs at least $140 for her vacation this summer. She already has $25 and she is selling homemade bracelets for $3.00 each
Charra [1.4K]

Please look at the screenshot below, for some reason Brainly won't let me post my answer.

What I mean about "not fully written" is its impartial. It didn't ask us something like "find how many bracelets she needs to sell"

6 0
2 years ago
Will give brainliest
ss7ja [257]

Answer:

Step-by-step explanation:

Base on the question where as asking to state the translation vectors could have been used for the pair of figures, base on my research, I would say  that the answer would be arrow pointing to the right.

8 0
3 years ago
Solve the inequality for x: -3(2x+5) < -45
balandron [24]

Answer:

x>5

Step-by-step explanation:

-3(2x+5)<-45

2x+5<-45/-3

2x+5<15

2x<15-5

2x<10

x<10/2

x<5

x>5

7 0
3 years ago
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