Answer:
y = -4x -3
Step-by-step explanation:
gradient = -4
y-intercept = -3
so... y = -4x -3
Point Q is the midpoint of GH
so GQ = QH
Given GQ=2x+3, and GH=5x−5 .
2x + 3 = 5x − 5
3x = 8
x = 8/3
GQ = 2(8/3) +3
GQ = 16/3 + 3
GQ = 16/3 + 9/3
GQ = 25/3
GQ = 8 1/3
Similar triangles may or may not have congruent sides, but the ratio of the corresponding sides will always be congruent.
<u>(3) Corresponding sides of △MNP and △RST</u>
Given that △MNP ∼△RST.
This means that, the corresponding sides are:
- MN and RS
- MP and RT
- NP and ST
<u>(4) The equal measures</u>
Given that △ABC ∼△TUV
This means that, the corresponding angles are equal, but corresponding sides are not.
So, the equal measures are:
- (a). the measures of ∠A and ∠T
- (c). the ratios of the sides BC/UV and AC/TV
The unequal measure is:
- (b). the perimeters of the two triangles
<u>(c) Scale mapping</u>
The scale mapping is given as:

The above scale means that 1 inches on the scale represents 100 miles of the actual distance.
Take for instance, 5 inches would represent 500 miles.
500 is 5 times 100
Hence, the actual distance between two towns 100 times the map distance between the two towns
Read more about similar triangles at:
brainly.com/question/14285697
27 treats per 3 minutes = 9 : 1
if the ratio is 9:1, multiply by 8, and you get
72 treats per 8 minutes
you're welcome!
Sum of n terms of a geometric series is
Sn = a1 (r^n-1)/(r-1)
a1 = 1st term = 4
r = common ratio = 12/4 = 3
so, the sum is
Sn = 4 (3^n-1)/(3-1) = 2(3^n-1)