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fiasKO [112]
3 years ago
8

How can i know if the triangles are congruent ?

Mathematics
2 answers:
MrRissso [65]3 years ago
7 0
If you use the SAS theorem, you can prove the triangles are congruent. Due to vertical angles, we have one angle, and we know one side is congruent. In order to prove these triangles are simillar, we need another side
Mrac [35]3 years ago
7 0
ASA stands for "angle, side, angle" and means that we have two triangles where weknow two angles and the included side are equal. If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, thetriangles are congruent.
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An architect wants an artistic flair to the house he is building, so he designs windows that are three fourths of a circle in sh
larisa86 [58]

The amount of rim needed for each window is 141.4 in

<h3>How to find the length of the outer rim?</h3>

Since the outer rim is the length of an arc, we use the formula for length of an arc of a circle.

<h3>What is an arc?</h3>

An arc is part of section of the circumference of a circle

<h3>What is the length of an arc?</h3>

So, length of arc, L = Ф/360 × 2πR where

  • Ф = central angle of arc and
  • R = radius of circle.

Gven that for the window rim

  • Ф = angle of the rim = 270° and
  • R = radius of the rim = 30 in

Substituting the values of the variables into the equation for L, we have

L = Ф/360 × 2πR

L = 270°/360° × 2π × 30 in

L = 3/4 × 2π × 30 in

L = 3/2 × π × 30 in

L = 3 × π × 15 in

L = 45π in

L = 141.37 in

L ≅ 141.4 in

So, the amount of rim needed for each window is 141.4 in

Learn more about length of an arc here:

brainly.com/question/8402454

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7 0
2 years ago
Will the first digit of the quotient of 2,589 + 4 be in the hundreds or
lora16 [44]

Answer:thousandths

Step-by-step explanation:i dk

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4 years ago
I will give brainliest answer
KIM [24]

Answer:

The radius of circle is 162 units

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3 years ago
Express the series using sigma notation 6b + 3b + 0 + (-3b) + (-6b).
zvonat [6]

Answer:

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Step-by-step explanation:

6b+3b+0+(-3b)+(-6b)\\6b+3b-3b-6b\\6b-6b\\0

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A 15.0 cm long cylindrical glass tube, sealed at one end, is filled with ethanol. The mass of ethanol needed to fill the tube is
djverab [1.8K]
The volume of the ethanol inside the tube can be obtained by dividing the mass of ethanol by the density. The volume is equal to 15.03 ml or 15.03 cm3. The volume of the tube is equal to pi d^2/4 * h where h is 15 cm. From this formula, the diameter is equal to 1.13 cm. 
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4 years ago
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