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3 years ago

X/72 = 135/90 what is x?

1 answer:

5 0

Hey! I'll provide the steps required.

First, solved the proportion by cross multiplication.

$X(90) = (135)(72)$

Then use the commutative property to reorder the terms as well as multiply the numbers.

90x = 9720

Finally, divide it by 90.

x = 108

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A pyramid with a slant height 4.6 in whose triangular base measures 8 in on each side.Each altitude of the base measures of 6.9

kvasek [131]

Answer:

82.8 in²

Step-by-step explanation:

The surface area a triangular based pyramid :

Base area + 1/2(perimeter * slant height)

Base = 8 inches ; Slant height = 4.6 inches ; altitude of base measure = 6.9 inches

Base area of triangle :

1/2 * base * height

1/2 * 8 * 6.9

4 * 6.9

Base area = 27.6 in²

The perimeter, P = sum of sides ; (s1 + s2 + s3

P = 8 + 8 + 8 = 24 in

Hence,

Surface area = 27.6 in² + 1/2(24*4.6)

Surface area = 27.6 in² + (12 * 4.6) in²

Surface area = (27.6 + 55.2)

Surface area = 82.8 in²

6 0

3 years ago

PLEASE HELP ASAP I'M TIMED

jekas [21]

Answer:

Step-by-step explanation:

7 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

2/5 g = -14 g = ????

zhenek [66]

If i understand you are wanting to find the value of g

so if 2/5 of the unkown value g is equal to -14 you would find out that 1/5 g would be -7 so to find g you times -7 by 5 and get -35

g= -35

3 0

2 years ago

What is 8.04 × 101?<br> 0.804<br> 8.04<br> 8.4<br> 80.4

Lerok [7]

8.04 * 100= 804

You move the decimal point two times to the right

8.04*101=812.04

6 0

2 years ago

Read 2 more answers