Step-by-step explanation:
<h3>stay safe healthy and happy..</h3>
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:
8. 16,648
9. 1,394
10. 3
11. 9,570
Step-by-step explanation:
8. Total means all together so you need to add all of the attendants together.
2118 + 3391 + 4785 + 6354 = 16,648
9. How many more signifies the need to use subtraction to get your answer so you need to subtract the number of attendants in 2011(3,391) from the number of attendants in 2012(4,785)
4,785 - 3,391 = 1,394
10. How many times more signifies the need to use division in order to get the answer since it is the opposite of multiplication. So, you need to divide the number of attendants in 2010(2,118) from the number of attendants in 2013(6,354)
6,354 / 2,118 = 3
11. Twice the attendance signifies the need to use multiplication to find your answer so you need to multiply the number of attendants in 2012(4,785) twice(2).
4,785 x 2 = 9,570
Hope this helped! <3
the greatest common factor (GCF) of 12, 24, and 48 is 12.
