What inequality represents the verbal expression? all real numbers less than 69

Mathematics

2 answers:

GREYUIT [131]3 years ago

8 0

X < 69
where xequals all real numbers

jeka943 years ago

5 0

we know that

the verbal expression "all real numbers less than $69$ "

represent the inequality--------> $x < 69$

the solution is the interval-------> (-∞,69)

using a graphing tool

see the attached figure

the solution is the shaded area

the answer is

the inequality is $x < 69$

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Angie and Becky each completed a separate proof to show that the measures of vertical angles AKG and HKB are equal. Who complete

Svetllana [295]

Vertical angles are angles which are opposite to each other and have equal measures. With respect to the given proof, Angie completed the proof incorrectly.

Two angles are said to be vertical when they are opposite to one another and have equal measures. However, two angles are supplementary if they add up to 180°.

So, comparing Angie's and Becky's proofs, it can be deduced that from Angies proof:

1. Segment GH intersects segment AB at K (1. Given)

2. m∠AKG + m∠GKB = 180° (2. Definition of Supplementary Angles)

m∠GKB + m∠HKB = 180° (2. Definition of Supplementary Angles)

3. m∠AKG + m∠ GKB = m∠GKB + m∠HKB (3. Substitution Property)

4. m∠AKG = m∠HKB (4. Subtraction Property)

Note: