The vertex angle is defined as the angle opposite the base. It can be calculated by formula, 180° - 2B = A where, B=base angle and A=vertex angle.
The two sides of an isosceles triangle are congruent, which means they are the same length. The third side of an isosceles triangle is larger than the other two and is known as the base.
Every triangle has three angles that add up to a total of 180°. The base angles are the two angles located along the base of isosceles triangles. In isosceles triangles, the base angles are always congruent, or equal.
The vertex angle is defined as the angle opposite the base. The vertex angle is always greater than the sum of the two base angles. The vertex angle is always calculated by subtracting the base angles from 180°, using the general formula: 180° - 2B = A, where B represents the base angle and A represents the vertex angle.
Thus, vertex angle is defined as the angle opposite the base.
To learn more about isosceles triangle refer here
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<u>QUESTION :</u>
Find the given value of each angle for the following supplementary angles must add up to 180
- one angle = (5x-13)°
- another angle = (11x+65)°
➱<em>ᴛʜᴇ ᴛᴡᴏ ᴀɴɢʟᴇs ʟɪᴇs ᴏɴ ᴛʜᴇ sᴀᴍᴇ ʟɪɴᴇ</em>
➱ѕσ ѕυм σƒ вσтн тнє αηgℓєѕ = 180°
therefore ,
⤳(5x-13)° + (11x+65)° = 180°
⤳5x -13° + 11x + 65° = 180°
⤳16x + 52° = 180°
⤳16x = 180° - 52°
⤳16x = 128°
⤳x = 128 /16
hence ,
the two angles will be
⇛<u>ᴏɴᴇ ᴀɴɢʟᴇ</u> :
<em>➛</em>(5x-13)°
<em>➛</em>5(8) - 13
<em>➛</em>40 - 13
⇛<u>ᴀɴᴏᴛʜᴇʀ ᴀɴɢʟᴇ</u> :
<em>➛</em><em> </em>(11x+65)°
<em>➛</em>11(8)+65
<em>➛</em>88 + 65
Option 2
ALD=BLD <span>equation is not necessarily true, all other remaining equations satisfy laws of reflection.</span>
Answer:
The sample size required is, <em>n</em> = 502.
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for population proportion is:
The margin of error is:
Assume that 50% of the people would support this political candidate.
The margin of error is, MOE = 0.05.
The critical value of <em>z</em> for 97.5% confidence level is:
<em>z</em> = 2.24
Compute the sample size as follows:
![n=[\frac{z_{\alpha/2}\times \sqrt{\hat p(1-\hat p)}}{MOE}]^{2}](https://tex.z-dn.net/?f=n%3D%5B%5Cfrac%7Bz_%7B%5Calpha%2F2%7D%5Ctimes%20%5Csqrt%7B%5Chat%20p%281-%5Chat%20p%29%7D%7D%7BMOE%7D%5D%5E%7B2%7D)
![=[\frac{2.24\times \sqrt{0.50(1-0.50)}}{0.05}]^{2}\\\\=501.76\\\\\approx 502](https://tex.z-dn.net/?f=%3D%5B%5Cfrac%7B2.24%5Ctimes%20%5Csqrt%7B0.50%281-0.50%29%7D%7D%7B0.05%7D%5D%5E%7B2%7D%5C%5C%5C%5C%3D501.76%5C%5C%5C%5C%5Capprox%20502)
Thus, the sample size required is, <em>n</em> = 502.
Answer:
45 words per minute!
Step-by-step explanation:
Divide 900 by 20!
