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Likurg_2 [28]
3 years ago
10

Which Triangles are congruent by ASA

Mathematics
2 answers:
PolarNik [594]3 years ago
8 0
Triangles congruent by ASA have two pairs of congruent sides and an included congruent angle.

The graph indicates that sides TV, HG, and AB are congruent, and that sides TU, FG, and BC are congruent. It also indicates that angles U, F, and C are congruent, and that angles G and B are congruent. Notice that angle U of  triangle TUV is not an included angle; this eliminates triangle TUV as it can't be congruent to another triangle by ASA with the information provided.

That leaves triangles FGH and ABC. Evidently, angles G and B are included angles, so these triangles are congruent by ASA.

Answer:
b. ΔHGF and ΔABC
sweet-ann [11.9K]3 years ago
6 0

Answer:

b.\triangle HGF\cong \triangle ABC

Step-by-step explanation:

We are given that three triangles VTU,HGF and ABC.

We have to find the triangle which are congruent by ASA.

ASA postulate: When two angles of one triangle and side on which two equal angles  are made are congruent to its corresponding two angles and corresponding side of other triangle then, two triangles are congruent by ASA.

From given figure, we can see that

AB=HG=VT

BC=FG=TU

\angle V=\angle F=\angle C

\angle G=\angle B

Therefore, \triangle HGF\cong \triangle ABC

By ASA postulate because two angle of triangle HGF angle F and angle G and one side FG are congruent to corresponding angles C and B and corresponding side BC.

Option b is true.

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A circular fish pond is shown below. What<br> is the circumference of the pond? The radius is 18.5cm
alisha [4.7K]

Answer:

about 116.18

Step-by-step explanation:

Circumference is 2PI*radius

So it should equal 37*3.14 which equals about 116.18

7 0
2 years ago
The function f(x) =2(3)^x is to be multiplied by the function g(x) 3(3)^(2x) to create the function h(x). Which function is prod
maria [59]

Answer C is the right answer.

Step-by-step explanation:

h(x) = f(x) * g(x)

h(x) = (2*3^x ) * ( 3*3^2x )

2 * 3 is easy, that will be 6.

The ground number 3 remains 3 in h(x), so that is easy too...

But with multiplying exponents, you can add them.

Let's concentrate only on the exponents of f(x) and g(x)... and add them...

x + 2x =3x

So, now combine the easy part with this new exponent, and you get <u>h(x)</u><u> </u><u>=</u><u> </u><u>6</u><u>*</u><u>(3)^(3x)</u>

<u>So</u><u> </u><u>answer C is the right answer.</u>

7 0
3 years ago
1. The manager of FrozonAir Refrigerator factory notices that on Monday it cost the company a total of $25,000 to build 30 refri
Vinvika [58]

Answer:

The fixed costs per day for the factory is $10,000 and marginal cost of one refrigerator for $500

Step-by-step explanation:

Let

Cost per refrigerator (marginal cost) = r

Fixed costs per day for the factory = f

Total cost = variable cost + fixed cost

Monday

25,000 = 30r + f

Tuesday

30,000 = 40r + f

Using Monday,

f = 25000 -30r

Substitute f = 25000 - 30r into Tuesday

30,000 = 40r + f

30,000 = 40r + (25,000 -30r)

30,000 = 40r + 25,000 - 30r

Collect like terms

30,000 - 25,000 = 40r - 30r

5,000 = 10r

Divide both sides by 10

r = 5,000 / 10

= 500

r = $500

Substitute r= 500 into Monday equation

f = 25,000 -30r

= 25,000 - 30(500)

= 25,000 - 15,000

= 10,000

f = $10,000

Therefore, the fixed costs per day for the factory is $10,000 and marginal cost of one refrigerator for $500

7 0
3 years ago
Amy is eight years older than twice her cousin Alicia’s age. The sum of their ages is less than 32. Let x represent Alicia's age
horsena [70]
Ok, so amy is 8 years older than twice alica's age
if amy=y and alica=x
y=8+2x

and sum is less than 32
y+x<32

we can subsitute 8+2x for y in other equation
8+2x+x<32
8+3x<32
minus 8 both sides
3x<24
divide both sides by 3
x<8


the inequality is x<8
4 0
3 years ago
Simplify the expression. What classification describes the resulting polynomial? (3x^2-11x-4)-(2x^2-x-6)
Gnoma [55]

The expression can be simplified to a polynomial of degree 2.

x^2 - 10x + 2

<h3>How to simplify the expression?</h3>

Here we have the expression:

(3x^2 -11x - 4) - (2x^2 - x - 6)

We can directly simplify this by taking the variable as common factor:

(3 - 2)*x^2 + (-11 + 1)*x + (-4 + 6)\\\\x^2 - 10x + 2

This is a polynomial, as you can see, the maximum exponent is 2, so the degree of the polynomial is 2.

If you want to learn more about polynomials:

brainly.com/question/4142886

#SPJ1

8 0
2 years ago
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