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Margarita [4]
3 years ago
9

Work out the size of angle x

Mathematics
1 answer:
Ksju [112]3 years ago
6 0

Answer:

35 deg

Step-by-step explanation:

since ABC is straight line. angle ABC should be 180 deg. implies

45 + 100 + x = 180 \\ x = 180 - 100 - 45 \\ x = 35 \: degree

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15 points Composition of Functions
Paul [167]

Answer:

last option

Step-by-step explanation:

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3 years ago
Which lines or segments are parallel? Justify your answer.
blagie [28]
Answer:
BE and CG.

Reason:
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m∠E = m∠G.
This property defines parallel line segments.

5 0
4 years ago
72 ounces in 6 steaks
svet-max [94.6K]
12 ounces for each steak ..............
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In need of some help! Thank you in advance. 100 points <3
Anni [7]

Answer:

1

the equation (x-4)^2-17=8 has two solutions because <u>it is in a quadratic form.</u>

(x-4)^2-17=8

x²-8x+16-17-8=0

x²-8x-9=0

Doing middle term factorization

x²-9x+x-9=0

x(x-9)+1(x-9)=0

(x-9)(x+1)=0

either

<u>x=9</u>

<u>x=9or</u>

<u>x=9orx=-1</u>

2.

x^2+4x+3=0:

Doing middle term factorization

x²+3x+x+3=0

x(x+3)+1(x+3)=0

(x+3)(x+1)=0

either

x=-3

or

x=-1

<u>Josh’s solution is incorrect because he missed x=-3.</u>

<u>3</u><u>.</u>

x^2-6x+7=0

By <u>using</u><u> </u><u>quadratic</u><u> </u><u>equation</u><u> </u><u>f</u><u>o</u><u>r</u><u>m</u><u>u</u><u>l</u><u>a</u><u>:</u>

Comparing above equation with ax²+bx+c=0

we get

a=1

b=-6

c=7

Now

we have

x=\frac{ - b ±  \sqrt{ {b}^{2}  - 4ac} }{2a}

x=\frac{ 6±  \sqrt{ {-6}^{2}  - 4*1*7} }{2}

x=\frac{ 6±2\sqrt{ 2}}{2}

x={ 3±\sqrt{ 2}}

Taking positive

<u>x</u>={ 3+\sqrt{ 2}}

taking negative

<u>x</u>={ 3-\sqrt{ 2}}

4 0
3 years ago
If h(x) = −5x − 10, find h(−2).<br> −20<br> 1.6<br> −1<br> 0
LiRa [457]
H(x) = -5x - 10
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h(-2) = 10 - 10
h(-2) = 0

The solution is 0.
6 0
4 years ago
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