Answer: D. x=9√3; y=18
Step-by-step explanation:
This is a 30-60-90 special triangle, where we can use the rules to find the value of x and y. (For specific explanation, please look at the attachment below)
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<u>X value</u>
- The shortest side of the triangle that corresponds with [x] is 9 units. This is because it is half of the larger triangle's side length.
- Using the rules, the shortest side is x, then the second short side is x√3
- Substitute value in= x√3=(9)√3=9√3
Y value
- The shortest side of the triangle that corresponds with [x] is 9 units. This is because it is half of the larger triangle's side length.
- Using the rules, the shortest side is x, then the longest side is 2x
- Substitute value in= 2x=2(9)=18
Hope this helps!! :)
Please let me know if you have any questions
For 5, what is happening is all the points shift down negative 2 on the Y axis and then flip over the x axis.
For 6, it would flip over the Y axis and start at positive 1 x the opposite
Let x and y represent angles 1 and 2, respectively. The given relations tell you
... x + y = 180 . . . . the sum of measures of a linear pair is 180°
... y = 2x + 6 . . . . angle 2 is 6 more than twice angle 1
One way to solve these is to add twice the first equation to the second.
... 2(x + y) + (y) = 2(180) + (2x +6)
Now, subtract 2x
... 3y = 366
... y = 122 . . . . divide by the coefficient of y
The measure of angle 2 is 122°.
Answer:
Lin has 11 acorns ⇒ answer D
He subtract 4 from 7 instead of add 4 to 7
Step-by-step explanation:
- Lin has 4 pinecones and some acorns
- She has 7 fewer pinecones than acorns
- The meaning of 7 fewer pinecones than acorns is the number of the
pinecones is less than the number of acorns by 7
∵ She has 4 pinecones
∵ She has 7 fewer pinecones than acorns
- The number of pine cones is less than the number of acorns by 7
∴ 4 = number of acorns - 7
- Add 7 to both sides
∴ 11 = number of acorns
*<em> Lin has 11 acorns</em>
- Tom choose answer A which is 3
- He made a mistake in the equation
- He put ⇒ number of the acorns = 7 - 4 not 7 + 4
∴ number of acorns = 3
* <em>He subtract 4 from 7 instead of add 4 to 7</em>
Answer:
42 Degrees
Step-by-step explanation:
Angle ABF is parallel to the angle DCF
