By the substitution property of equality, measure of ∠ABC ≅ measure of ∠GHI (m∠ABC=m∠GHI)
<h3>Substitution property of equality</h3>
The <em>substitution property of equality</em> states that if x = y, then x can be substituted in for y in any equation, and y can be substituted for x in any equation
From the given information, we have that
∠ABC ≅ ∠DEF
and
∠GHI ≅ ∠DEF
By the substitution property, ∠ABC can be substituted for ∠DEF in the second equation
That is,
∠GHI ≅ ∠ABC
∴ ∠ABC ≅ ∠GHI
Hence, measure of ∠ABC ≅ measure of ∠GHI (m∠ABC=m∠GHI)
Learn more on Substitution property of equality here: brainly.com/question/2279838
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Step-by-step explanation:
It's Mount Everest .It is located in Nepal.You can trust in my answer as it ln my home country.
Answer:
<1 = 109 (Vertically Opposite to <3)
<2 = 71 (Corresponding to <6)
<3 = 109
<4 = 71 (Alternate Interior to <6)
<5 = 109 (Alternate Interior to <3)
<6 = 71
<7 = 109 (Corresponding to <3)
<8 = 71 (Vertically Opposite to <6)
Step-by-step explanation:
<1 = 2x + 29
<2 = x + 31
<3 = 2x + 29
<4 = x + 31
<5 = 2x + 29
<6 = x + 31
<7 = 2x + 29
<8 = x + 31
<1 + <2 = 180
(2x + 29) + (x + 31) = 180
(2x +x) + (29 + 31) = 180
3x + 60 = 180
3x = 180 - 60 = 120
x = 120/3
x = 40
<1 = (2x + 29)
= (2 * 40) + 29
= 80 + 29
= 109
<2 = x + 31
= 40 +31
= 71
Answer:
5
Step-by-step explanation:
Since 6 is positive, it's (x+blank)^2
6/2=3, and (x+3)^2 = x^2+6x+9. We have x^2+6x-2, so we have to add 9 to both sides to get (x+3)^2-2=9, then subtract 9 from both sides to get
(x+3)^2-11=0, or (x+3)^2=11. Square root both sides to get x+3=sqrt(11), and x=sqrt(11)-3, which is approximately 0.32
