Answer:
<h2>1. x = 4</h2><h2>2. x = 20</h2>
Step-by-step explanation:
1.
ΔABC and ΔAJK are similar (AA). Therefore the sides are in proportion:
We have:
AC = 1 + 4 = 5
AJ = 1
AB = 1 + x
AK = 1
Substitute:
<em>subtract 1 from both sides</em>
2.
ΔVUT and ΔVMN are similar (AA). Therefore the sides are in proportion:
We hve:
VU = x + 8
VM = x
VT = 49
VN = 49 - 14 = 35
Substitute:
<em>cross multiply</em>
<em>use the distributive property a(c + b) = ab + ac</em>
<em>subtract 35x from both sides</em>
<em>divide both sides by 14</em>
Answer:
c. 20,000cm
Step-by-step explanation:
from is house to the park is 100m
from the park back to his house is another 100m
100m+100m=200m
1m = 100cm
200m = xcm
cross multiply
xcm = 200×100
xcm= 20,000cm
Answer:
<h2>The x-coordinate after the rotation is -10.</h2>
Step-by-step explanation:
A 810° rotation is equal to a 90° rotation. So, the transformation described gives the same result than rotating 90° only.
A 90° counterclockwise rotation is defined by the rule
The given coordinate is 
. Using the rule, we have
Therefore, the x-coordinate after the rotation is -10.
Answer is QM = 18
You can find the length of QM by using Pythagorean theorem. See the attachment.
It is a quadrilateral with 4 equal congruent sides.
If SP = 30, so do the other 3 sides indicated by the tick marks on all 4 sides.
We will call side RQ = the hypotenuse
or side “c” = 30
We know RM is leg “b” = 24
Side “a” is our unknown QM
Our formula is
a^2 + b^2 = c^2
a^2 + 24^2 = 30^2
a^2 + 576 = 900
a^2 = 900 - 576
a^2 = 324
Take square root of both sides to solve a
a = 18
QM = 18
