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GrogVix [38]
3 years ago
7

The lengths of the sides of a triangle are x, 2x + 1, 5x + 4 inches. If the perimeter is 53 inches, what is thevalue of x?

Mathematics
1 answer:
satela [25.4K]3 years ago
5 0
Answer: 6


Explanation:

x + 2x + 1 + 5x + 4 = 53
8x + 5 = 53
8x = 48
x = 6
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In triangle ABC, Aat the top of the triangle, B at 90° and C at the third end, angle C = 21°, the hypotenus = 15m,find BC = y th
dsp73

Answer

Step-by-step explanation:

Law of sines: SinB/15 = SinA/BC

B = 90

A = 180-90-21=69°

BC= (15*SinA)/SinB = (15*sin69)/1 ≈ 14m

7 0
3 years ago
ABCD is a parallelogram.
Dmitry_Shevchenko [17]

Answer:

Using SAS they are congruent.

Step-by-step explanation:

E is the point where the diagonals AC and BD meet.

Side: AB = CD

Angle: ∠ABE = ∠EDC

Side: BE = DE

Hence by SAS theorem the two triangles are congruent.

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3 years ago
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Express the product in simplest form.
Dmitry [639]

The product in simplest form is (x - 4)

<em><u>Solution:</u></em>

<em><u>Given expression is:</u></em>

\frac{8}{2x+8} \times \frac{x^2-16}{4}

We have to find the product in simplest form

In the given expression,

2x + 8 = 2(x+ 4)

We know that,

a^2-b^2=(a+b)(a-b)

Therefore,

x^2-16 = x^2-4^2 =(x+4)(x-4)

Substitute these in given expression

\frac{8}{2(x+4)} \times \frac{(x+4)(x-4)}{4}

Cancel the common factors,

\frac{8}{2(x+4)} \times \frac{(x+4)(x-4)}{4} = x - 4

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8 0
3 years ago
Find the surface area of this triangular prism. Be sure to include the correct unit in your answer.
Vladimir [108]

Answer:

270 yds squared    

Step-by-step explanation:

You need to area of each of the shapes that make up the triangular prism. So, the side triangles, the back rectangle, the bottom rectangle and the top rectangle.

Side triangle (1x): base*height/2

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60/2

30 yds, 60 yds for both sides.

Back rectangle: length*width

5*7

35 yds

Bottom Rectangle: length*width

7*12

84 yds

Top rectangle: length*width

7*13

91 yds.

To get the final answer, you add the surface areas together to get the final amount of yards: 30+30+35+84+91= 270 yds squared. Hope this helps.

5 0
2 years ago
What is the total area, in square inches, of the shaded sections of the trapezoid below?
Rudik [331]
You can add 5.6 and 5.9 which is 11.5 x 8 = 92 then divide that by 2 and you have 46
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