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BabaBlast [244]
3 years ago
10

If GI = 20 and H = 100°, then HI ___ 20. A. <B.=c.>

Mathematics
2 answers:
jarptica [38.1K]3 years ago
8 0

Answer:

Option A.

Step-by-step explanation:

Consider below figure attached with this question

Given information: GI = 20 and H = 100°

GHIJ is a rhombus, so all sides are equal.

GH=HI=IJ=JG

Since GH=HI, so

\angle HIG\cong \angle HGI

Let,

m\angle HIG=m\angle HGI=x

The sum of all interior angles of a triangle is 180 degree.

x+x+100=180

2x=80

x=40

In a triangle smaller angle have smaller opposite side and greater angle have larger opposite side.

40

m\angle HGI

HI

HI

The value of HI is less than 20.

Therefore, the correct option is A.

Allisa [31]3 years ago
7 0
It is smaller than 20, A
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Use numerals instead of words. If necessary, use / for the fraction bar.
Step2247 [10]
Here, AB ║ CD ;   EF ⊥ AB

Number of 90 degree formed by the intersections of EF and two parallel lines AB and CD is 8

Hope this helps!
7 0
3 years ago
Find the axis of symmetry for this parabola: <br><br> y=-5x^2-10x-13
Dmitry [639]

Answer:

x=1

Step-by-step explanation:

1. Complete the square on the right side of the equation.

5 ( x − 1 )2 − 18

2. Use the vertex form,  y = a ( x − h ) 2 + k , to determine the values of  a ,  h , and  k . a= 5 h = 1 k = − 18

3. Since the value of  a  is positive, the parabola opens up.

Opens Up

4. Find the vertex  ( h , k ) . ( 1 , − 18 )

5. Find  p , the distance from the vertex to the focus.

1 /20

6. Find the focus.

7. ( 1 , − 359/ 20 )

8. Find the axis of symmetry by finding the line that passes through the vertex and the focus.

ANSWER: x = 1

6 0
3 years ago
HELP ME ANYONE ANYONE PLEASEEEEE I BEG FOR LOVE OF JESUS
soldi70 [24.7K]

Answer:

b. -84

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

<u />\displaystyle \frac{a}{-7} - 7 = 5<u />

<u />

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

  1. Addition Property of Equality:                    \displaystyle \frac{a}{-7} - 7 + 7 = 5 + 7
  2. [Simplify] Add:                                             \displaystyle \frac{a}{-7}= 12
  3. Multiplication Property of Equality:           \displaystyle -7 \cdot \frac{a}{-7} = 12 \cdot -7
  4. [Simplify] Multiply:                                      \displaystyle a = -84

<u>Step 3: Check</u>

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

  1. Substitute in <em>a</em>:                    \displaystyle \frac{-84}{-7} - 7 = 5
  2. [Frac] Divide:                       \displaystyle 12 - 7 = 5
  3. Subtract:                              \displaystyle 5 = 5

Here we see that 5 does indeed equal 5.

∴ a = -84 is the solution to the equation.

7 0
3 years ago
How does a quadratic function differ from that of a linear or exponential
salantis [7]
Hello,

A linear function is a polynomial function of degree 1
(1,2,3,4,5,6,....)
A quadratic function is a polynomial function of degree 2
(1,4,9,16,25,49,64,81,...)
A exponential function is not a polynomial function (we may imagine a infinity degree)
(1,2,4,8,16,32,64,128,256,512,1024,...)



3 0
3 years ago
Consider circle Y with radius 3 m and central angle XYZ measuring 70°. What is the approximate length of minor arc XZ? Round to
Lorico [155]
R = A / tetha

70° × pi/180 = radian
radian = 1.222 rad

3 = A / 1.222
Arc = 3.7 meter

i am a mathematics teacher. if anything to ask please pm me
7 0
3 years ago
Read 2 more answers
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