Answer:

Step-by-step explanation:
Base is an equilateral triangle
slant hight= 12 in
side of base= 5 in
so, perimeter of base = 3(5)=15 in
lateral area = 1/2 pl =1/2 (15)(12) in
=90 in²
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hope it helps..
have a great day!!
Hello,
so all you have to do is match the abbreviations to the triangles. The abbreviations stand for what is the SAME in both triangles, denoted by similar markings on equal sides and angles.
Abbreviations:
SSS = Side-Side-Side
SAS = Side-Angle-Side
ASA = Angle-Side-Angle
AAS = Angle-Angle-Side
HL = Hypotenuse-Leg
* Note - the angle side angle must go around the triangle in that order. ASA has the side BETWEEN the congruent angles.. SSA does NOT work.
(9.) ASA
(10.) AAS
(11.) SSS
(12.) No way to tell if congruent. (only 3 angles no side)
(13.) ASA
(14.) SAS
(15.) HL
Answer:
Yes
Step-by-step explanation:
There is definetly a whole number so thats correct
1. subtract 4 from 6 equals 2
2. turn that 4 to a 1 whole and leave what's alone
3. Look at what you did... 1 2/4
4. Take pride
Ok, so since it doesn't give a value for "my age", we'll call it x. So the sentence translates into an equation...
200 reduced means... 200 -
by 2 times my age means... 2x
equals 16 means... = 16
200 - 2x = 16
Now let's solve for x to find "my age"
First subtract 200 from each side to begin to isolate x
-2x = -184
Divide each side by -2 to isolate x
x = -184/-2
x = 92
I'm 92 years old!
Answer:the 57th term is 78
Step-by-step explanation:
The sequence is an arithmetic sequence. The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + (n - 1)d
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = - 6
d =3/2
n = 57
We want to determine the value if the 57th term, T57. Therefore,
T57 = - 6 + (57 - 1) ×3/2
T57 = - 6 + 56 × 3/2 = - 6 + 84
T57 = 78