Answer:
the solution is (-4, 2)
Step-by-step explanation:
6x + 8y = -8
x + 4y = 4
... can be solved using elimination by addition and subtraction, among other methods. Multiply the second equation by -2 to obtain
6x + 8y = -8
-2x - 8y = -8
Combining these results in
4x = -16. Thus, x = -4.
Substituting -4 for x in x + 4y = 4 results in
-4 + 4y = 4, or 4y = 8, or y = 2
Then the solution is (-4, 2)
Answer: Arithmetic sequence
Step-by-step explanation:
The pattern in the sequence is n = n-1 + 6. Since n is increasing through addition with each term, this sequence is arithmetic.
The answer is 45.55 as the circumference
Answer:
∠GHE = 55°
Step-by-step explanation:
ABCD is a quadrilateral (4 sided figure). We know that the sum of the interior angles (4 angles) of a quadrilateral in 360°.
Thus, A + B + C + D = 360
<em>we know b = c = 90 and a = 125, thus we can find D.</em>
<em>125 + 90 + 90 + D = 360</em>
305 + D = 360
D = 360 - 305 = 55°
<u>Note:</u> since Quadrilateral ABCD is congruent to Quadrilateral EFGH, then the measure of D is equal to measure of H (Angle GHE). Thus
∠GHE = 55°
2nd answer choice is correct
Answer:
73 numbers
Step-by-step explanation:
36²
=36 × 36
=1,296
37²
=37 × 37
=1,369
The total number that lies between 36² and 37² = 37² - 36²
=1,369 - 1,296
= 73 numbers
This is to say that, there are 73 numbers between 36² (1,296 ) and 37² ( 1,369)