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Oxana [17]
3 years ago
6

Isosceles triangle SIX has congruent sides SI and IX and vertices S at (x, 5) , / at (- 2, 2) , and X at (4, - 1) , where x >

0. What is the value of x?
Mathematics
1 answer:
bazaltina [42]3 years ago
8 0

Answer:

Isosceles triangles have two sides with the same length, and one side that ... Similarly, if two angles of a triangle have equal measure, then the sides ... (2) Set up an equation and solve for x. ... x = 60/2 x = 30. Each base angle of triangle ABC measures 30 degrees. ... In isosceles triangle RST, angle S is the vertex angle.

Step-by-step explanation:

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What is the cot in simplest fraction form????<br> Please help been stuck for 30 minutes!!
Fantom [35]

Answer:

65/72

Step-by-step explanation:

cot is simply cosine over sine or the tangant flipped

the cos (c)=65/97

sin (c) = 72/97

cot would be (65/97)/(72/97)

How do you divide fractions? By multiplying the reciprocal!

cot would be  65/97 * 97/72

the 97s cross out.

65/72

5 0
3 years ago
142=10x+8x+2. Please show steps as well.​
mel-nik [20]

Answer:

x=7.78

Step-by-step explanation:

142=10x+8x+2

Move all numbers with the same variables to each side to separate them.

142-2=10x+8x

140=18x

Divide by 18.

x= 140/18

x=7.78

7 0
3 years ago
Read 2 more answers
A postcard has an area of 24 square inches. Two enlargements of the postcard have areas of 54 square inches and 96 square inches
Alex777 [14]

Answer:

original is 4 & 6.

for 54 sq inch= 6 & 9 and for 96 sq inch=8 & 12

Step-by-step explanation:

Given: The length is 1.5 times the width.

so the length is, l = 1.5w ----(a)

lw = 24  =1.5w(w)

lw = 54= 1.5w(w)

lw = 96 =1.5w(w)

Further simplifying it,

1.5w^{2}=24

1.5w^{2}=54

1.5w^{2}=96

so,

w^{2} = \frac{24}{1.5}=16

w^{2}= \frac{54}{1.5} =36

w^{2}= \frac{96}{1.5} =64

taking the square root, we get:

w = 4

w = 6

w = 8

By putting the above values in eq (a), we can find their corresponding lengths:

l = 1.5(4) = 6

l = 1.5(6) = 9

l = 1.5(8) = 12

So a few lengths could be:

(l, w)

(6,4)

(9,6)

(12,8)

5 0
3 years ago
Read 2 more answers
A triangle ABC is inscribed in a circle, such that AB is a diameter. What are the measures of angles of this triangle if measure
Katen [24]

Answer:

∠C=90°

∠A=67°

∠B=23°

Step-by-step explanation:

For angle C:

  Thales' Theorem states that an angle inscribed across a circle's diameter is always a right angle.

  Therefore, since AB is the diameter(hypotenuse) then angle C is the right angle. (90°)

For Angle A:

  The measure of arc BC= 134 degrees. We can just use a formula for an inscribed triangle. ∠A = 1/2 (mBC)

  ∠A= (1/2)134

  ∠A= 77°

For angle B:

  All triangle angles all add up to 180. We can just subtract angles A and C from 180°:

  ∠B = 180-(90+67)

  ∠B = 23°

8 0
3 years ago
What is the missing constant term in the perfect square that starts with x^2 - 20x
Andre45 [30]

Answer:

100

Step-by-step explanation:

To make a perfect square trinomial, you want to divide the use the following equation to find the missing constant:

(\frac{b}{2} )^{2} when the quadratic is in standard form.

In this case, we would divide -20 by 2 and square it

-20/2 = -10

(-10)^2 = 100

4 0
3 years ago
Read 2 more answers
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