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mina [271]
1 year ago
6

Select the correct answer. two triangles, abc and cde, share a common vertex c on a grid. in triangle abc, side ab is labeled 4x

minus 1, side bc is labeled 4, side ac is labeled 5. in triangle cde, side cd is labeled 5, side de is labeled x plus 2, side ce is labeled 4. if geometry symbol represented as small triangle with three sides. abc geometry congruent symbol represented as two small horizontal parallel lines and a horizontal symbol s. geometry symbol represented as small triangle with three sides. dec, what is the value of x? a. x = 8 b. x = 5 c. x = 4 d. x = 1 e. x = 2
Mathematics
1 answer:
Sidana [21]1 year ago
4 0

Hence, the value of x is 1.

<h2>What is length?</h2>

Length is defined as the measurement or extent of something from end to end. In other words, it is the larger of the two or the highest of three dimensions of geometrical shapes or objects.

<h3>How to solve?</h3>

It can be observed that the given 2 triangles are congruent.

we know, for congruent triangles, the length of corresponding sides is equal.

Hence,

       AB = DE

       4x - 1 = x + 2

       3x = 3

       x=1

Therefore, the value of x is 1.

to learn more about length: brainly.com/question/18077445

#SPJ4

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PLEASE HELP! I'll give 5 out of 5 stars, give thanks, and give as many points as I can.
Liula [17]

Answer:

\boxed{\boxed{x=\dfrac{\pi}{3}\ \vee\ x=\pi\ \vee\ x=\dfrac{5\pi}{3}}}

Step-by-step explanation:

\cos(3x)=-1\iff3x=\pi+2k\pi\qquad k\in\mathbb{Z}\\\\\text{divide both sides by 3}\\\\x=\dfrac{\pi}{3}+\dfrac{2k\pi}{3}\\\\x\in[0,\ 2\pi)

\text{for}\ k=0\to x=\dfrac{\pi}{3}+\dfrac{2(0)\pi}{3}=\dfrac{\pi}{3}+0=\boxed{\dfrac{\pi}{3}}\in[0,\ 2\pi)\\\\\text{for}\ k=1\to x=\dfrac{\pi}{3}+\dfrac{2(1)\pi}{3}=\dfrac{\pi}{3}+\dfrac{2\pi}{3}=\dfrac{3\pi}{3}=\boxed{\pi}\in[0,\ 2\pi)\\\\\text{for}\ k=2\to x=\dfrac{\pi}{3}+\dfrac{2(2)\pi}{3}=\dfrac{\pi}{3}+\dfrac{4\pi}{3}=\boxed{\dfrac{5\pi}{3}}\in[0,\ 2\pi)\\\\\text{for}\ k=3\to x=\dfrac{\pi}{3}+\dfrac{2(3)\pi}{3}=\dfrac{\pi}{3}+\dfrac{6\pi}{3}=\dfrac{7\pi}{3}\notin[0,\ 2\po)

7 0
3 years ago
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Evaluate:<br><br> 16 - 12 + 13.5 - - 14
Oxana [17]

Answer:

31.5

Step-by-step explanation:

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2 years ago
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Given f(x)=-4x-2 solve for x when f(x)=6
Paladinen [302]

Answer:

-26

Step-by-step explanation:

1. Replace the x with 6

2. Multiply -4 by 6 to get -24

3. Subtract 2 from -24 to get -26

-26 is the answer.

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Mi
MakcuM [25]

Answer: 35

Step-by-step explanation:

Angles in a triangle add to 180 degrees, so in triangle ABC, m\angle C=180-103-42=35^{\circ}.

Sp, by the corresponding angles theorem, <u>x=35</u>

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I want to buy a gift for my husband, this gift costs $103.50, I am only able to save $5 out of my paycheck and I get paid bi-wee
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Answer:

Step-by-step explanation:

number of weeks=103.50/5=20.7 bi-weeks

so she needs 21 bi-weeks or 42 weeks

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