Answer:
(-53)/80
Step-by-step explanation:
Simplify the following:
-23/30 + 5/48
Put -23/30 + 5/48 over the common denominator 240. -23/30 + 5/48 = (8 (-23))/240 + (5×5)/240:
(8 (-23))/240 + (5×5)/240
8 (-23) = -184:
(-184)/240 + (5×5)/240
5×5 = 25:
(-184)/240 + 25/240
-184/240 + 25/240 = (-184 + 25)/240:
(-184 + 25)/240
-184 + 25 = -159:
(-159)/240
The gcd of -159 and 240 is 3, so (-159)/240 = (3 (-53))/(3×80) = 3/3×(-53)/80 = (-53)/80:
Answer: (-53)/80
Answer:
Slope-intercept form = y=3x-11
Step-by-step explanation:
Two points on the line:
(4, 1)
(3, -2)
Hope I helped!
Answer:
9 < x
Step-by-step explanation:
5x - 47< 3(12x - 108) – 2
Distribute
5x - 47< 36x - 324 – 2
Combine like terms
5x - 47< 36x-326
Subtract 5x from each side
5x-5x - 47< 36x-5x-326
- 47< 31x-326
Add 326 to each side
326 - 47< 31x-326+326
279 < 31x
Divide by 31 on each side
279/31 < 31x/31
9 < x
Answer: y= 2x-8
Step-by-step explanation:
2y-4x=-16
2y=-16+4x
y=-8+2x
y= 2x-8
In triangles DEF and OPQ, ∠D ≅ ∠O, ∠F ≅ ∠Q, and segment DF ≅ segment OQ; this is not sufficient to prove triangles DEF and OPQ congruent through SAS
<h3>What are
congruent triangles?</h3>
Two triangles are said to be congruent if they have the same shape, all their corresponding angles as well as sides must also be congruent to each other.
Two triangles are congruent using the side - angle - side congruency if two sides and an included angle of one triangle is congruent to that of another triangle.
In triangles DEF and OPQ, ∠D ≅ ∠O, ∠F ≅ ∠Q, and segment DF ≅ segment OQ; this is not sufficient to prove triangles DEF and OPQ congruent through SAS
Find out more on congruent triangle at: brainly.com/question/1675117
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