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SCORPION-xisa [38]
4 years ago
15

Given : ∠FHG and ∠KJG are right angles;

Mathematics
2 answers:
KonstantinChe [14]4 years ago
8 0

Answer:

All right angles are congruent.

Step-by-step explanation:

Two figures are said to be congruent if they overlap each other.

Acute angles whose measure is less than 90\%.

Obtuse angles are angles whose measure lie between 90\% and 180\%

An angle equals to 180\% is a straight angle.

An angle whose measure is between 180\% and 360\% is a reflex angle.

An angle equal to 360\% is a complete angle.

We know that two angles are congruent if they have same measure.

Two right angles are always congruent as they are always equal to 90\%

So,  \angle FHG≅\angle KJG as they are right angles and all right angles are congruent.

Liono4ka [1.6K]4 years ago
6 0

Answer:

all right angles are congruent

Step-by-step explanation:

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What is the product of (-4)(7) and why?
Evgesh-ka [11]

Answer:

The product of (-4)(7) is -28

Step-by-step explanation:

First you will multiply the number together.

This gets you -28.

The reason it is a negative number is because when you multiply a positive and a negative number together, you get a negative number.

Whereas, if it were two negative numbers, (-4)(-7), or two positive numbers,

(4)(7), the answer would have been positive, 28.

3 0
3 years ago
ving as a relation, state the domain and range, then determine if it is a6.2X-2 0.-2Relation:DomainRangeFunction3 i
Travka [436]

The relation is the set of ordered pairs of point drawn in the graph

The points are:

(-2, 3), (0, 1), (2, -1), (3, -2)

So the relation is:

R = {(-2, 3), (0, 1), (2, -1), (3, -2)}

The domain is the values of x in the ordered pairs

x = -2, 0, 2, 3

The domain = {-2, 0, 2, 3}

The range is the values of y in the ordered pairs

y = 3, 1, -1, -2

Arrange them in the set

The range = {-2, -1, 1, 3}

7 0
1 year ago
What number does this Roman numeral represent?<br><br> DCCLXXXI
avanturin [10]

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7 0
4 years ago
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What are the solutions to the systems?<br><br> y=x^2-4x-2<br> y=x-2
kirill115 [55]
<span>y=x^2-4x-2
y=x-2

x^2-4x-2=x-2\\\\x^2-4x-2-x+2=0\\\\x^2-5x=0\\\\x(x-5)=0\\\\x=0 \ or \  x-5=0

x=0 or x=5 

y = x - 2
1)
x=0
y = 0 - 2= -2
2)
x=5
y=5-2=3

Answer
x=0 , y=-2
or
x=5 , y=3</span>
6 0
3 years ago
A study reveals that 65% of homeowners in Omaha own a lawn mower. To test this claim, you form a sample of 500 homeowners in Oma
kotegsom [21]

Answer:

There is no enough evidence to reject the claim using a level of significance of 5%

Step-by-step explanation:

Let p be the true proportion of homeowners in Omaha who own a lawnmower. We want to test  

H_{0}: p = p_{0} = 0.65 vs H_{1}: p\neq 0.65 (two-tailed alternative).

We have a large sample of size n = 500 and a point estimate for p is \hat{p}=0.68. The test statistic is given by

Z=\frac{\hat{p}-p_{0}}{\sqrt{p_{0}(1-p_{0})/n}}=\frac{0.68-0.65}{\sqrt{0.65(1-0.65)/500}} where \sqrt{0.65(1-0.65)/500} is the standard error of \hat{p} when H_{0} is true. The observed value is z_{0} = 1.4064 which comes from a standard normal distribution. Because we want to use a level of significance of 5%, our rejection region is RR={z | z < -1.96 or z > 1.96} where -1.96 and 1.96 are the 2.5th and 97.5th quantiles respectively. Because 1.4064 does not belong to RR, we fail to reject the null hypothesis.

6 0
3 years ago
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