Answer:
just graph it mate
Step-by-step explanation:
Answer:
If the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.
Step-by-step explanation:
Angles formed by the segment
in the triangles ΔWXZ, and ΔXYZ, are equal and the given corresponding sides are proportional.
- The option that best completes the proof showing that ΔWXZ ~ ΔXYZ is; <u>16 over 12 equals 12 over 9</u>
Reasons:
The proof showing that ΔWXZ ~ ΔXYZ is presented as follows;
Segment
is perpendicular to segment 
∠WZX and ∠XZY are right angles by definition of
perpendicular to 
∠WZX in ΔWXZ = ∠XZY in ΔXYZ = 90° (definition)


Therefore;
, which gives, 
Given that two sides of ΔWXZ are proportional to two sides of ΔXYZ, and
that the included angles between the two sides, ∠WZX and ∠XZY are
congruent, the two triangles, ΔWXZ and ΔXYZ are similar by Side-Angle-
Side, SAS, similarity postulate.
The option that best completes the proof is therefore;
which is; <u>16 over 12 equals 12 over 9</u>
Learn more about the SAS similarity postulate here:
brainly.com/question/11923416
Answer:
The total amount Alex spent is $ 9
Step-by-step explanation:
The given parameters are;
The amount Alex spends on food = 2/3 of his paycheck
The amount Alex spends on coffee = $3
Therefore, we have;
Fraction of the paycheck spent on coffee = 1 - 2/3 = 1/3 of p
The amount Alex spends on coffee = 1/3 of his paycheck
Therefore, we have;
1/3 × p = $3
p = 3 × $3 = $9
The total amount Alex spent = $ 9
The amount Alex spends on food = 2/3 × $9 = $6.
Answer:
$871068.25
Step-by-step explanation:
Given the base of starting the business is $54300 and the total sale after the business is $950000.
Therefore, the profit of the business is $(950000-54300) = $895700.
Now, the commission has to be deducted from the profit at the rate of 2.75% of the profit.
Hence, total profit of the business is given by
895700 [1 -
] = $871068.25 (Answer)