Answer:
This is a 45-45-90 right triangle
So we know that because at least one angle is 45 degrees and there is a right angle.
A 45-45-90 triangle has congruent (equal) legs {x} and the hypotnuse is
x√2
So using that information we know X = Y
Since they are both legs and legs are congruent in this case.
The hypotnuse is laid out for us which is 8.
We can make an equation.
Since the hypotnuse would be x√2
x√2 = 8
Now we solve.
You’d get 5.6528… or √32
X and Y both equal √32
Answer:
x= -1
Step-by-step explanation:
Answer:
A. 3p < 10.2
Step-by-step explanation:
The answer is the above mentioned because by solving 3p < 10.2, you divide both side by the number attached to the variable 'p'. ie 3p/3 < 10.2/3 and that gives you p < 10.2/3. 10.2/ 3 gives you 3.4. ie p<3.4. Therefore making the answer A. 3p<10.2
Answer:
m = -3
y-intercept = 5
Step-by-step explanation:
You can use the rise/run approach on this graph. You start at the first point, which luckily, is the y-intercept (0, 5).

You can count 3 units down (which gives you the -3) and then 1 unit right (which gives you the 1).
You can now reduce the fraction to -3.
Answer:
The size of the post card she should use is 4 in. × 6 in.
Step-by-step explanation:
The parameters given are;
Dimensions of sign = 5 ft. × 7.5 ft
Hence, the ratio of the side sizes are;
5:7.5 which is the same as 2:3, therefore, to obtain the most accurate design of the sign on the post card, the size of the post card must be in direct proportion to the size of the sign which gives;
Side length ratio of post card = 2:3 = 4:6 = 4 in. × 6 in.
The size of the post card she should use is therefore = 4 in. × 6 in.