Answer: x = 17
Step-by-step explanation:
From the question: y α x
⇒ y = kx
y=4 and x = 10 implies
4 = 10k
k = 4/10
k = 2/5
substitute k = 2/5 into the equation
y = 2/5 x
When y = 7 , the equation becomes
7 =
35 = 2x
35/2 =x
Therefore : 17
x =
Which statement can john use this figure to prove
1 answer:
Answer:
The correct option is;
The points on the perpendicular bisector of a side of a triangle are equidistant from the vertices of the side it bisects
Step-by-step explanation:
With the assumption that that the question meant that ΔACD and ΔBCD are congruent, we have;
Segment is congruent to segment
by Congruent Parts of Congruent Triangles are Congruent, CPCTC
Similarly, segment is congruent to segment
by Congruent Parts of Congruent Triangles are Congruent, CPCTC
Therefore, the points on the perpendicular bisector of a side of a triangle are equidistant from the vertices of the side it bisects
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Answer:
Option C.
Step-by-step explanation:
From the given figure it is clear that
So,
Using Intersecting Secants Theorem, we get
Divide both sides by 4.
Since, x = 11; PR = 12; PT = 15, therefore the correct option is C.
The <em>correct answers</em> are:
Explanation:
Since she is adding two more jumps every time she goes down hill, this is an arithmetic sequence. The general form of an arithmetic sequence is
Since we want the number of jumps on her 4th through 12th trips, we will set n in the summation from 4 to 12. n=4 goes at the bottom of Σ and 12 goes at the top, to represent the values we are interested in.
Beside this, we write our general form. The first term is 6 and d, the common difference, is 2. This gives us 6+2(n-1) beside the summation:
To evaluate this, we substitute the values 4, 5, 6, 7, 8, 9, 10, 11 and 12 in for n, adding all of the values together:
6+2(4-1)+6+2(5-1)+6+2(6-1)+6+2(7-1)+6+2(8-1)+6+2(9-1)+6+2(10-1)+6+2(11-1)+6+2(12-1)
=6+6+6+8+6+10+6+12+6+14+6+16+6+18+6+20+6+22
=180
Answer:
A rhombus is a parallelogram with four congruent sides.
So, all sides of rhombus ABCD are congruent.
i.e,
Also, we know that the diagonals of a parallelogram bisect each other.
Since a rhombus is a parallelogram.
By property of rhombus , if point N is the intersection of the diagonals as shown in the figure, then
.....[1]
In ΔJNM and ΔJNK
[side] [by (1)]
[side] [Given]
By reflexive property states that a segment is congruent to itself:
[Side] [Reflexive Property]
SSS(Side-Side-Side) postulates states that if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.
then by SSS congruence,
By CPCT [Corresponding Part of congruent triangles are congruent]
Since, JNM and JNK are corresponding angles therefore,
Linear pair theorem states that two angles that form a linear pair are supplementary.
By linear pair theorem, JNM and JNK are supplementary
this mean:
Since, the angles are congruent i.e,
so;
or
2
Simplify:
also;
therefore, the diagonals of JKLM are perpendicular to each other i,e