Answer:
5 r1
Step-by-step explanation:
Because 40 divided by 8=5 so 8 x 5=40 and 40 but since we need 41 then we still have a remainder of 1 so 5 with a remainder of 1.
Hope it helps have a good afternoon :)
x = 15
since the figures are similar then the ratios of corresponding sides are equal
= ( cross- multiply )
8x = 6 × 20 = 120 ( divide both sides by 8 )
x = 15
Answer:
(9x -2)(9x +2)
Step-by-step explanation:
Each of the terms in the difference is a perfect square, so the "perfect square trick" applies. The factors are the sum and difference of the square roots of the given terms.
81x² - 4 = (9x +2)(9x -2)
Answer:
12.5%
Step-by-step explanation:
125 is 12.5% of 1000
The mathematical proofs are useful to show that a mathematical statement is true. Generally a mathematical proof use other statements like theorems, or axioms. Also mathematical proofs are useful to know if the development of a theoretical process in other areas like physics is well done. Other thing that is useful of the proofs in mathematics is that it use a formal language with symbols that minimize the ambiguity and make it universal.
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Answer:
The measure of ∠SVT is 79°
Step-by-step explanation:
In the given figure
∵ US ∩ RT at V
∴ ∠SVT and ∠UVR are vertically opposite angles
∵ The vertically opposite angles are equal in measures
∴ m∠SVT = m∠UVR
∵ m∠SVT = (5y + 9)°
∵ m∠UVR = (8y - 33)°
→ Equate them
∴ 8y - 33 = 5y + 9
→ Add 33 to both sides
∴ 8y - 33 + 33 = 5y + 9 + 33
∴ 8y = 5y + 42
→ Subtract 5y from both sides
∴ 8y - 5y = 5y - 5y + 42
∴ 3y = 42
→ Divide both sides by 3
∵ =
∴ y = 14
→ Substitute the value of y in the measure of ∠SVT
∵ m∠SVT = 5(14) + 9
∴ m∠SVT = 70 + 9
∴ m∠SVT = 79°
∴ The measure of ∠SVT is 79°