Answer:
8/12 in simplified form 2/3
Step-by-step explanation:
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Whenever <u>two</u> or <u>more</u> lines <em>intersect </em>at a point, an <em>angle</em> is usually produced. And some of these angles formed may have <u>common </u>properties, and thus be <em>congruent</em>.
The appropriate reasons for the given <u>statements</u> in the question are given below:
STATEMENT REASON
1. <1 ≅ <2 <u>Vertical</u> <em>Angle</em> theorem
2. <1 and <2 are complementary
<2 and <3 are complementary <em>Congruent Complements</em> Theorem
3. <1 and <2 are supplementary
<2 and <3 are supplementary <u>Congruent</u> Supplements
4. <1 and <2 are right angles All<em> Right Angles</em> are Congruent
5. <1 ≅ <2,
<1 and <2 are supplementary If two angles are <u>congruent</u> and
<u>supplementary</u>, then each angle is
a <em>right angle</em>.
For more clarifications on the properties of complementary and supplementary angles, visit: brainly.com/question/14941189
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Answer:
x = 2
Step-by-step explanation:
DE is parallel to AC and intersects the other 2 sides, thus divides those 2 sides in proportion, that is
= ( cross- multiply )
6x = 4(x + 1) , that is
6x = 4x + 4 ( subtract 4x from both sides )
2x = 4 ( divide both sides by 2 )
x = 2
Answer:
C. F(x)= 2^x + 1
Step-by-step explanation:
Step 1: Substitute x into the various various functions.
Putting x into F(x)= 2^x + 1
When x= 1, 3 and 8 respectively.
when x =1
F(1)= 2¹ + 1 = 3
when x =3
F(3)= 2³ + 1 = = 8+1 =9
when x =8
F(8)= 2^8 + 1 = 256 +1 = 257
The correct equation is to substitute for x is F(x)= 2^x + 1
Answer:
n
Step-by-step explanation:
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