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iris [78.8K]
3 years ago
5

What theorem shows ACE = BCD

Mathematics
1 answer:
RideAnS [48]3 years ago
8 0

Answer:

SAS

Step-by-step explanation:

in two triangles

if EC=DC

AC =BC

M<ECA =M<DCB "V.O.A"

THEN triangle ACE = triangle BCD

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You buy a bunch of snacks from the grocery story that cost $9.50. You also have a 10% off your total purchase coupon. The tax ra
Bond [772]

Answer:

889 or 900

Step-by-step explanation:

I found 4 percent of 9.50 and added it, then found 10 percent and added it.

4 0
3 years ago
A triangle has an angle that measures 10°. The other two angles are in a ratio of 3:14. What
ivann1987 [24]

Step-by-step explanation:

<h3>Need to FinD :</h3>

  • We have to find the measures of other two angles of triangle.

\red{\frak{Given}} \begin{cases} & \sf{The\ measure\ of\ one\ angle\ of\ traingle\ is\ {\pmb{\sf{10^{\circ}}}}.} \\ & \sf{The\ other\ two\ angles\ are\ in\ the\ ratio\ of\ {\pmb{\sf{3\ :\ 14}}}.} \end{cases}

We know that,

  • The other two angles of triangle are in the ratio of 3 : 14. So, let us consider the other two angles of the triangle be 3x and 14x.

Angle sum property,

  • The angle sum property of triangle states that the sum of interior angles of triangle is 180°. By using this property, we'll find the other two angles of the triangle.

\rule{200}{3}

\sf \dashrightarrow {10^{\circ}\ +\ 3x\ +\ 14x\ =\ 180^{\circ}} \\ \\ \\ \sf \dashrightarrow {10^{\circ}\ +\ 17x\ =\ 180^{\circ}} \\ \\ \\ \sf \dashrightarrow {17x\ =\ 180^{\circ}\ -\ 10^{\circ}} \\ \\ \\ \sf \dashrightarrow {17x\ =\ 170^{\circ}} \\ \\ \\ \sf \dashrightarrow {x\ =\ \dfrac{\cancel{170^{\circ}}}{\cancel{17}}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{x\ =\ 10^{\circ}.}}}}_{\sf \blue {\tiny{Value\ of\ x}}}}

∴ Hence, the value of x is 10°. Now, let us find out the other two angles of the triangle.

\rule{200}{3}

Second AnglE :

  • 3x
  • 3 × 10
  • 30°

∴ Hence, the measure of the second angle of triangle is 30°. Now, let us find out the third angle of triangle.

\rule{200}{3}

Third AnglE :

  • 14x
  • 14 × 10
  • 140°

∴ Hence, the measure of the third angle of the triangle is 140°.

5 0
3 years ago
Please help thank you
Elodia [21]

Answer:

a1 = 6

a2 = 15

a3 = 24

a4 = 33

Step-by-step explanation:

Let k =1

a1 =-3 +9(1) = -3 +9 = 6

Let k = 2

a2 = -3 +9(2) =-3+18 = 15

Let k =3

a3 =-3 +9(3) = -3 +27 = 24

Let k = 4

a4 = -3 +9(4) =-3+36 = 33

8 0
4 years ago
These both go together
Airida [17]

a) We know that the probability Jane will win is 0.2, and draws is 0.3, which leaves the probability of her losing to be 0.5 (1 - 0.2 - 0.3 = 0.5).

I'll begin by filling in for the first game:

win = 0.2, draw = 0.3, lose = 0.5

Next, we'll fill in for if she wins, draws, or loses the second game. The probabilities would be the same as the first game for the second game.

Win (0.2): win = 0.2, draw = 0.3, lose = 0.5

Draw (0.3): win = 0.2, draw = 0.3, lose = 0.5

Lose (0.5): win = 0.2, draw = 0.3, lose = 0.5

b) To find the probability that Jane will win both games, we need to multiply the probability of Jane winning the first game by the probability of her winning the second game.

0.2 x 0.2 = 0.04

Hope this helps! :)

6 0
3 years ago
III Probability of an event A box is filled with 2 blue cards, 3 red cards, and 7 yellow cards. A card is chosen at random from
Arada [10]

Answer:

3/4

Step-by-step explanation:

You add all the cards in the boxes = 3+2+7 = 12

Probability of picking up a yellow or blue card = 2+7 =9

Hence:

9/12

simplify: 3/4

5 0
3 years ago
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