How to make 25/3 in simplest form

It is given that AB is parallel to CD and points E, G, H, and F are collinear. The measure of ZEGF is 180°, by the definition of

alex41 [277]

The completed statement filled in with the correct option is presented as follows;

It is given that AB is parallel to CD and points, E, G, H, and F are collinear. The measure of ‹EGF is 180° by the definition of a straight angle. ‹AGE and ‹AGF are adjacent, so the measure of ‹AGE plus the measure of ‹AGF equals the measure of angle ‹EGF. It can be said that the measure of ‹AGE plus the measure of ‹AGF equals 180°. ‹CHE and ‹AGF are same side interior angles, so the measure of angle ‹CHE plus the measure of angle ‹AGF equals 180°.

Substituting once again means that the measure of ‹AGE plus the measure of angle ‹AGF equals the measure of angle ‹CHE plus the measure of ‹AGF. The measure of angle ‹AGE is equal to the measure of ‹CHE using the Subtraction Property of Equality. Finally, by the definition of congruency, ‹AGE is congruent to ‹CHE

The correct option is therefore;

‹CHE and ‹AGE are same side interior angles; using the Subtraction Property of Equality

<h3>What relationships between angles formed by parallel lines can be used to complete the paragraph?</h3>

Angles, ‹CHE and ‹AGF are angles formed on the same side of the common transversal, EF, and are formed on the interior part of AB and CD.

Given that ‹CHE and ‹AGF are both on the line FGHE, and together with ‹CHF and ‹AGE form two linear pair angles, ‹CHE and ‹AGF are supplementary angles and add up to 180°.

According to the substitution property of equality, both sides of an equation remain equal following the subtraction of the same quantity from both sides.

Given that we have:

‹AGE + ‹AGF = ‹CHE + ‹AGF

Subtracting ‹AGF from both sides gives;

‹AGE = ‹CHE (subtraction property of equality)

Learn more about the angles formed by parallel lines here:

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3 0

1 year ago

the age of Jane is 80% of the age of Alice. If we add both ages the result is 45. Find the age of Jane and Alice

inysia [295]

Answer:

Age of Alice=25 years

Age of Jane=20 years

Step-by-step explanation:

We are given that the age of Jane is 80 % of the age Alice.

We have to find the age of Jane and Alice.

Let x be the age of Alice

According to question

Age of Jane=80% of Alice=80% of x= $\frac{80}{100}\times x=\frac{4x}{5}$

$x+\frac{4x}{5}=45$

$\frac{5x+4x}{5}=45$

$\frac{9x}{5}=45$

$x=\frac{45\times 5}{9}=25$

Age of Alice=25 years

Age of Jane= $\frac{4}{5}\times 25=20 years$

Age of Jane=20 years

5 0

4 years ago

1 3/7 x 2 3/4 fraction plz

maksim [4K]

Answer:

$\frac{55}{14}$

Step-by-step explanation:

First, we convert the mixed numbers into improper fractions: $1\frac{3}{7} =\frac{10}{7}$ , and $2\frac{3}{4}=\frac{11}{4}$ . Now, we multiply the fraction using the multiplication rule, $\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}$ : $\frac{10}{7} \times \frac{11}{4} = \frac{110}{28} = \frac{55}{14}$ .