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fomenos
3 years ago
6

A square has two sides on the lines x = 3 and y = 1. It has a vertex at (12,-8). What is the perimeter, in units, of the square?

Mathematics
1 answer:
Norma-Jean [14]3 years ago
3 0
The point (12,-8) has the x coordinate of x = 12
Going from x = 3 to x = 12 is a distance of 9 since 12-3 = 9

Therefore this square has a side length of 9 units
There are 4 of these congruent (same length) sides, so 4*9 = 36 is the perimeter

Answer: B) 36
Note: you can use the y coordinate if you want. The distance from y = 1 to y = -8 is also 9 units because 1-(-8) = 1+8 = 9
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Sladkaya [172]
18 inches.
This is true because 40% of 60 is 24. 75% of 24 is 18. :))
8 0
2 years ago
Find the measure of angle 1
Lubov Fominskaja [6]
In ∆FDH, there are two slash marks in two of its legs. This indicates that this triangle is isosceles. If a triangle is isosceles, then it will have two congruent sides and therefore have two congruent angles.

In ∆FDH, angle D is already given to us as the measure of 80°. We can find out the measure of the other angles of this triangle by using the equation:

80 + 2x = 180

Subtract 80 from both sides of the equation.

2x = 100

Divide both sides by 2.

x = 50

This means that angle F and angle H in ∆FDH both measure 50°.

Now, moving over to the next smaller triangle in the picture is ∆DHG. In this triangle, there are also two legs that are congruent which once again indicates that this triangle is isosceles.

First, we have to solve for angle DHG and we do that by using the information obtained from solving for the angles of the other triangle.

**In geometry, remember that two or more consecutive angles that form a line will always be supplementary; the angles add up to 180°.**

In this case angle DHF and angle DHG are consecutive angles which form a linear pair. So, we can use the equation:

Angle DHF + Angle DHG = 180°

50° + Angle DHG = 180°.

Angle DHG = 130°.

Now that we know the measure of one angle in ∆DHG, we can use the same method as the previous step for solving the missing angles. Use the equation:

130 + 2x = 180

2x = 50

x = 25

The other two missing angles of ∆DHG are 25°. This means that the measure of angle 1 is also 25°.

Solution: 25°
8 0
3 years ago
Read 2 more answers
A vessel has 4 liters and 500 ml of curd. In how many glasses, each of 25 ml capacity, can it be filled?
dalvyx [7]

Step-by-step explanation:

easy to look up : mili stands for 1/1000

so,

500 ml are 500/1000 liters.

25 ml are 25/1000 liters (a tiny glass).

and 1 Iiter is of course, 1000/1000 liters (1000 ml).

4 liters 500 ml are then

4×1000/1000 + 500/1000 = 4500/1000 l = 4500 ml.

how many glasses of 25 ml can be filled with that ?

this is the same question as into how many parts of 25 can 4500 be split ? or, how often does 25 fit into 4500 ?

all this is done by division :

4500 / 25 = 180

so, 180 of such glasses can be filled.

7 0
2 years ago
Algebra 2 help needed image below
Nookie1986 [14]

Answer:

8x + 100

Step-by-step explanation:

Your answer is correct! But because the equation is already set to "y =", you do not need the "f(x)" in your equation.

7 0
1 year ago
What decimal or fraction goes in the box
garik1379 [7]

Answer:

Your answer would be 7.

Step-by-step explanation:

Hope I helped!!!

7 0
2 years ago
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