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worty [1.4K]
2 years ago
10

Please help with this geometry question.

Mathematics
1 answer:
konstantin123 [22]2 years ago
6 0

The exercise below is one that requires the proof that of certain dimensions using the rules of congruence. of triangles.

<h3>What does it mean for two angles to be congruent?</h3>

It simply means that both angles are similar in measure.

<h3>What is the required proof of the given problem?</h3>

It is given that ∠BAD=∠EAC

∠BAD+∠DAC=∠EAC+∠DAC   [add ∠DAC on both sides]

Therefore ∠BAC=∠DAE

In △BAC and △DAE

AB=AD (Given)

∠BAC=∠DAE (Proved above)

AC=AE (Given)

Therefore △BAC≅△DAE (By SAS congruence rule)

Therefore BC=DE because Corresponding Parts of Congruent Triangles CPCT are congruent.

Learn more about congruence at;
brainly.com/question/385
#SPJ1

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Quinn is flying a kite. The angle of elevation formed by the kite string and the ground is 40°, and the kite string forms a stra
emmasim [6.3K]

The distance between the ground and the kite to the nearest foot is 64 ft.

<h3>What is a right angle triangle?</h3>

A right angle triangle is a triangle that has one of its sides as 90 degrees. The situation forms a right angle triangle.

Hence,

The length of the kite string is the hypotenuse side of the triangle formed.

The height between the ground and the kite is the opposite side of the triangle formed.

Therefore, using trigonometric ratio,

sin 40 = opposite / hypotenuse

sin 40 = h / 100

cross multiply

h = 100 sin 40

h = 100 × 0.64278760968

h = 64.2787609687

h = 64 ft

Therefore, the distance between the ground and the kite to the nearest foot is 64 ft.

learn more on right triangle here: brainly.com/question/27482803

#SPJ1

7 0
2 years ago
Explain how you can find the sign of the product of two or more rational numbers
Solnce55 [7]

Comparing two rational numbers

<span> Use fraction form: </span>

 

Make the denominators the same and compare the numerators. The number with the smaller numerator is smaller. For example, to compare a/b and c/d, we rewrite

 

a/b=a*d/b*d

<span>  = ad/bd and c/d = c*b/d*b=bc/bd</span>

 

Now just compare the numerators : "ad" and "bc"

 

<span>Multiplying and Dividing Rational Numbers  </span>

 

Multiplying and dividing rational numbers in decimal form is the same as multiplying and dividing integers. The decimal place of the product is the same of all decimals of all multiplied numbers. For example, 3.12*2.4.

 

Solution => 3.12*2.4=7.488

 

When multiplying or dividing rational numbers in fractional form, you multiply the numerators (N*N) and then multiply the denominators (D*D).

 

When dividing rational numbers in fractional form, first take the reciprocal of the divisor, and then multiply the numerators and the denominators.

 

Example => 5/9 divided by 2/7 .

 

<span>Solution => 5/9 * 7/2 =  35/18 </span>

 

 

Adding Rational numbers

 

Adding and Subtracting rational numbers in decimal form is the same as adding and subtracting integers.

 

Example => -3.54+2.79=-0.75

 

When adding or subtracting rational numbers in fractional form, first make the denominator equal, and then add or subtract the numerators. 

8 0
3 years ago
What is the inverse of y=2x+7
Katyanochek1 [597]
Y=(0,7)
Root: (-7/2,0)
3 0
3 years ago
Compare the decimals 16.30 and 16.3
pshichka [43]
16.30 and 16.3 equal. If you ever have a problem like that then you just add on a zero.

Example:
19.4500 = 19.45 Just add two zeros on the end
19.45 + two zeros = 1.4500
8 0
3 years ago
Use a table of function values to approximate an x-value in which the exponential function exceeds the polynomial function. In y
bekas [8.4K]
F(x) = 2^x; h(x) = x^3 + x + 8

Table


x      f(x) =  2^x             h(x) = x^3 + x + 8

0      2^0 = 1                0  + 0 + 8 = 8

1     2^1 = 2                 1^3 + 1 + 8 = 10

2      2^2 = 4                2^3 + 2 + 8 = 8 + 2 + 8 = 18

3      2^3 = 8                3^3  + 3 + 8 = 27 + 3 + 8 = 38

4      2^2 = 16              4^3 + 4 + 8 = 76

10    2^10 = 1024       10^3  +10 + 8 = 1018

 9      2^9 =   512        9^3 + 9 + 8 = 729 + 9 + 8 = 746

Answer: an approximate value of 10
7 0
3 years ago
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