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ser-zykov [4K]
2 years ago
6

What are the missing measures for E and J??? Are the triangles similar? Yes or no?

Mathematics
1 answer:
yawa3891 [41]2 years ago
5 0

Answer:

No

Step-by-step explanation:

To tell whether two triangles are similar or not, we can compare their side lengths or angle measures

in this case, only angle measure are given so will compare those:

m<F = m<I but this is not enough, we need to compare other angles as well

m<H is not equal to m<G

The sum of interior angles in a triangle is equal to 180

so the measure of angle J

100+55+J = 180

J = 25

The measure of angle E

100+35+E = 180

E = 45

Now, neither of these angles are equal to each other so we can conclude that these triangles are not similar.

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Formulate the situation as a system of inequalities. (Let x represent the number of goats the farmer can raise and y represent t
Firdavs [7]

Answer: He can raise up to 40 goats and 100 llamas.

Step-by-step explanation:

Hi, to answer this question we have to write system of equations with the information given:

The space each goat needs (4) multiplied by the number of goats (x); plus The space each llama needs (10) multiplied by the number of llamas must be less or equal to the acre land available (800)

4x +10y ≤ 800 (acres)

The amount of veterinary care (in $) each  goat needs (110) multiplied by the number of goats (x); plus The  amount of veterinary care   each llama needs (88) multiplied by the number of llamas (y)must be less or equal to the Rancher's budget.(14520)

110x +88y ≤ 14,520 (cost)

Multiplying the first equation by 27.5, and subtracting the second equation to the first one:

110x + 275y ≤22,000

-

110x +88y ≤ 14,520

____________

187y ≤ 7480

y ≤ 7480/187

y ≤ 40

Replacing y in the first equation

4x +10(40) ≤ 800

4x +400 ≤ 800

4x ≤ 800-400

4x ≤ 400

x ≤ 400/4

x ≤ 100

5 0
3 years ago
PLS HELP!!!!!!!!!!!!!
stepladder [879]
First, multiply the top equation by 2 and bottom by -3.
60x+60y=900
-60x-75y=-1035
————————
-15y=-135
—————-
-15=-15
y=9

So the answer should be 9.
6 0
3 years ago
A car averages 12 gallons of gasoline for each 420 miles driven. how much gasoline will it need for a 3360 mile trip
Rudik [331]
It would require 96 gallons of gas
7 0
3 years ago
Read 2 more answers
An article costing Gh37000 was sold for Gh31450. What is the loss percent​
Gennadij [26K]

Answer:

15%

Step-by-step explanation:

The first step is to find the loss

Cost price -selling price

37000-31450

= 5,550

The loss percent can be calculated as follows

= loss/cost price × 100

= 5550/37000 × 100

= 0.15×100

= 15%

Hence the loss percent is 15%

5 0
3 years ago
Find the area of the figure. PLEASSEEEEEEEE!!!!!!!!
allochka39001 [22]

Given:

side length = 6 ft

To find:

The area of the figure

Solution:

Area of the square = side × side

                               = 6 × 6

Area of the square = 36 ft²

Diameter of the semi-circle = 6 ft

Radius of the semi-circle = 6 ÷ 2 = 3 ft

Area of the semi-circle = \frac{1}{2} \pi r^2

                                      $=\frac{1}{2} \times 3.14 \times 3^2

Area of the semi-circle = 14.13 ft²

Area of the figure = Area of the square - Area of the semi-circle

                              = 36 ft² - 14.13 ft²

                              = 21.87 ft²

Area of the figure = 21.9 ft²

The area of the figure is 21.9 ft².

5 0
3 years ago
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