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Ivan
3 years ago
4

Which statement regarding the diagram is true?

Mathematics
2 answers:
Naily [24]3 years ago
4 0
1. Let the m(YXZ)=a, m(XZY)=b, m(XYZ)=c, m(WXY)=d as in the atached figure.

A)  d=a, 

no, because clearly the triangle is an acute triangle (all angles clearly < 90°).
So a<90, and d, the supplementary of a, is >90. So d>a

B) d<b. 

no, d >90, b<90 so d>b

C) d+a=180°

yes, because an interior angle, and that angles exterior angle are supplementary, that is, their sum is 180°

D) d+c=180°. True only if c=a, so if YZX is isosceles. Otherwise, not true. 

seraphim [82]3 years ago
3 0
Basically the answer is c
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Timed Test Please Help.
Alinara [238K]

Answer:

6.5 × 10¹¹

Step-by-step explanation:

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3 years ago
A)<br> 30-2x For x= -6<br><br> B) <br> x2 + 2x For x=-3
kicyunya [14]

Answer:

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7 0
3 years ago
Read 2 more answers
Find the 12th term of the geometric sequence 5, -25, 125, ...5,−25,125,...
katovenus [111]

Answer:

  • a_{12}=-244140625

Step-by-step explanation:

Considering the geometric sequence

5,-25,\:125,\:...

a_1=5

As the common ratio 'r' between consecutive terms is constant.

\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\quad \:r=\frac{a_{n+1}}{a_n}

r=\frac{-25}{5}=-5

r=\frac{125}{-25}=-5

The general term of a geometric sequence is given by the formula:  

a_n=a_1\cdot \:r^{n-1}

where a_1 is the initial term and r the common ratio.

Putting n = 12 , r = -5 and a_1=5 in the general term of a geometric sequence to determine the 12th term of the sequence.

a_n=a_1\cdot \:r^{n-1}

a_n=5\left(-5\right)^{n-1}

a_{12}=5\left(-5\right)^{12-1}

      =5\left(-5^{11}\right)

\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a

       =-5\cdot \:5^{11}

\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}

        =-5^{1+11}     ∵ 5\cdot \:5^{11}=\:5^{1+11}

        =-244140625

Therefore,

  • a_{12}=-244140625
6 0
3 years ago
Help me on 8 and 9 plz
klasskru [66]
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36 ÷ 4.5 = 8
so 36m^2 we must use 8 bags

9. \frac{5}{8}x2 =5x2/8= 10/8 = 5/4 = 1.25

 hope it helped you
5 0
3 years ago
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BabaBlast [244]
H/4=7/14
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