Answer:
(1) ΔMAN ≅ ΔBOY
(2) ΔMAT ≅ ΔRUG
(3) ΔEBN ≅ ΔUHR
(4) ΔTOP ≅ ΔLID
(5) ΔCAT ≅ ΔDOG
(6) ΔITP ≅ ΔLOH
Step-by-step explanation:
The following combinations of the congruent triangle facts will be sufficient to prove triangles congruent.
The combinations are:
(1) SSS (side-side-side) : If three sides of a triangle are congruent to three sides of another triangle then the triangles are congruent.
(2) SAS (side-angle-side) : If two sides and included angle of a triangle are congruent to another triangle then the triangles are congruent.
(3) ASA (angle-side-angle) : If two angles and included side of a triangle are congruent to another triangle then the triangles are congruent.
(4) RHS (right angle-hypotenuse-side) : If the hypotenuse and leg of one right triangle are congruent to the corresponding parts of another right triangle, the right triangles are congruent.
Part (1):
As we are given two triangles.
Side AM = Side OB
Side MN = Side BY
Side AN = Side OY
That means,
ΔMAN ≅ ΔBOY
Part (2):
As we are given two triangles.
Side MA = Side RU
Side MT = Side RG
Side AT = Side UG
That means,
ΔMAT ≅ ΔRUG
Part (3):
As we are given two triangles.
Side EB = Side UH
Side BN = Side HR
Side NE = Side RU
That means,
ΔEBN ≅ ΔUHR
Part (4):
As we are given two triangles.
Side OT = Side IL
Side OP = Side ID
Side PT = Side DL
That means,
ΔTOP ≅ ΔLID
Part (5):
As we are given two triangles.
Side AC = Side OD
Side AT = Side OG
Side TC = Side GD
That means,
ΔCAT ≅ ΔDOG
Part (6):
As we are given two triangles.
Side TP = Side OH
Side IT = Side LO
Side IP = Side LH
That means,
ΔITP ≅ ΔLOH
Answer:
1) 6A + 4S = 548
2) A +12 = S multiplying by 4
2) 4A -4S = -48 then we add equation 1)
1) 6A + 4S = 548
10A = 500
50 Adult Tickets were sold and
62 Student Tickets were sold.
Double Check
50 * $6 = $300
62 * $4 = $248
Total = $548 Answer is correct!!!
Step-by-step explanation:
Answer:
1:180
Step-by-step explanation:
We start by multiplying the 120 feet by 12 inches to get the height of the building in inches, which is 1440.
Then, we have a ratio of 8:1440, which simplifies to 1:180 when we divide 1440 by 8.
Given :
A number , n = 2,201,538 .
To Find :
The values of 2’s.
Solution :
We read the given number as :
<u>Two</u> million <u>two</u> hundred and one thousand five hundred and eight.
Now, occurrence of two is underlined.
Therefore, value of 2's in 2,201,538 is 2.
Hence, this is the required solution.
Answer:
n > -2
Step-by-step explanation:
7(1 - 2n) < 33 - n
7 - 14n < 33 - n
Subtract 7
-14n < 26 - n
Add n
-13n < 26
Divide by -13
n > -2
