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Llana [10]
2 years ago
15

75° b Arrange the three side lengths in increasing order. 350 c [?]​

Mathematics
2 answers:
Virty [35]2 years ago
8 0

Answer:

a < b < c

Step-by-step explanation:

The side opposite the larger angle measure is the longer side.

The side opposite the smallest angle measure is the shortest side.

The sum of the three angles  = 180° ; (75° + 35° + ? = 180°). The missing angle is 70°

The angles in order from the smallest to the largest:

  35°  < 70° < 75°

The side for the shortest to the largest

side opposite 35° is a

side opposite 70° is b

side opposite 75° is c

Answer a < b < c

max2010maxim [7]2 years ago
6 0
Correct option is C)
Using angle sum property in △ABC
∠A+∠B+∠C=180
∘

⇒50
∘
+60
∘
+∠C=180
∘

⇒∠C=70
∘

In any triangle side opposite to the largest angle is the longest side.
Here ∠C is largest and side opposite to it is AB
∴AB is the longest side.
Then comes ∠B and side opposite to it is AC
∴AC is the second longest side.
Then comes ∠A and side opposite to it is AC
∴BC is the shortest side.
So the increasing order of sides is
BC
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4 years ago
Write a point-slope equation for a line containing
Ganezh [65]

Answer:

y-2=3(x+7) point-slope form

Step-by-step explanation:

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7 0
3 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
4 years ago
Read 2 more answers
Help me please, please
neonofarm [45]
-243 x -128
——————-
-27 x -32

31104/864
=36
7 0
3 years ago
2x/x2-25=10/x2-25 - 4/x+5
White raven [17]
Hello,

x²-25≠0==>x≠5 and x≠-5

\dfrac{2x}{x^2-25}= \dfrac{10}{x^2-25}- \dfrac{4}{x+5}   \\&#10;&#10; \dfrac{2x}{x^2-25}= \dfrac{10}{x^2-25}- \dfrac{4(x-5)}{(x+5)(x-5)}   \\&#10;&#10;2x=10-4x+20\\&#10;&#10;6x=30\\&#10;&#10;x= 5 &#10;
8 0
3 years ago
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