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leva [86]
3 years ago
5

Find the length of the third side. If necessary, write in simplest radical form. plzzzzzzzz

Mathematics
1 answer:
Slav-nsk [51]3 years ago
6 0

\huge\fbox\red{a}\huge\fbox\orange{n} \huge\fbox\pink{s}\huge\fbox\green{w} \huge\fbox\blue{e}\huge\fbox\purple{r}\

  • Given Sides =5√3 &5
  • Also Given that one of the angle is 90°
  • Hence , Using Pythagoras theorem
  • The measure of 3rd side = √(5√3²+5²)
  • The Third side= √(75+25)
  • The third side = √100
  • The third side = 10✓
<h2>\huge\fbox\orange{10} \</h2>

is the measure of the third side.

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HELP PLEASEEE 9th Grade Geometry
Shtirlitz [24]

Step-by-step explanation:

AD ≅ BC, Given

∠BCD ≅ ∠ADC, Given

CD ≅ CD, Reflexive property

ΔBCD ≅ ΔADC, SAS congruence

∠BDC ≅ ∠ACD, CPCTC

ΔECD is an isosceles triangle, definition of isosceles

DE ≅ CE, properties of isosceles triangles

6 0
3 years ago
-3(u+2)=5u-1+5(2u+1)
Mazyrski [523]

Answer:

u = -5/9

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

-3(u + 2) = 5u - 1 + 5(2u + 1)

<u>Step 2: Solve for </u><em><u>u</u></em>

  1. Distribute:                             -3u - 6 = 5u - 1 + 10u + 5
  2. Combine like terms:             -3u - 6 = 15u + 4
  3. Add 3u to both sides:          -6 = 18u + 4
  4. Subtract 4 on both sides:    -10 = 18u
  5. Divide 18 on both sides:      -10/18 = u
  6. Simplify:                                -5/9 = u
  7. Rewrite:                                 u = -5/9

<u>Step 3: Check</u>

<em>Plug in u into the original equation to verify it's a solution.</em>

  1. Substitute in <em>u</em>:                     -3(-5/9 + 2) = 5(-5/9) - 1 + 5(2(-5/9) + 1)
  2. Multiply:                                -3(-5/9 + 2) = -25/9 - 1 + 5(-10/9 + 1)
  3. Add:                                      -3(13/9) = -25/9 - 1 + 5(-1/9)
  4. Multiply:                                -13/3 = -25/9 - 1 - 5/9
  5. Subtract:                               -13/3 = -34/9 - 5/9
  6. Subtract:                               -13/3 = -13/3

Here we see that -13/3 does indeed equal -13/3.

∴ u = -5/9 is a solution of the equation.

3 0
3 years ago
Read 2 more answers
The segments shown below could form a triangle.
-BARSIC- [3]

Answer:

True. It could. Sorry my answer just has to be 20 characters long

7 0
3 years ago
Last year 80 students signed up for a summer trip to Washington, D.C. This summer 50 students have signed up to go. What is the
Fynjy0 [20]

Given:

Last year 80 students signed up for a summer trip to Washington, D.C.

This summer 50 students have signed up to go.

To find:

The percent decrease in the number of students.

Solution:

We have,

Students in last year = 80

Students in this year = 50

Now,

\text{Decrease}\%=\dfrac{\text{Students in last year - Students in this year }}{\text{Students in last year }}\times 100

\text{Decrease}\%=\dfrac{80-50}{80}\times 100

\text{Decrease}\%=\dfrac{30}{80}\times 100

\text{Decrease}\%=\dfrac{3}{8}\times 100

\text{Decrease}\%=37.5

Therefore, the correct option is B.

7 0
3 years ago
How many solutions do you think the equation -10x+3=5x-27 has? Explain. Then, find the solution(s).
deff fn [24]
This will only have one solution because it does not deal with a quadratic. Then to isolate x you need to get the similar terms on different sides by subtracting or adding, Then divide both sides by the number next to x (coefficient).
4 0
3 years ago
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