Answer:
1. Opposite
2. angle-side-angle criterion
Step-by-step explanation:
Since ABCD is a parallelogram, the two pairs of <u>(opposite)</u> sides (AB¯ and CD¯, as well as AD¯ and BC¯) are congruent. Then, since ∠9 and ∠11 are vertical angles, it can be concluded that ∠9≅∠11. Since ABCD is a parallelogram, AB¯∥CD¯. Since ∠2 and ∠5 are alternate interior angles along these parallel lines, the Alternate Interior Angles Theorem allows that ∠2≅∠5. Since two angles of △AEB are congruent to two angles of △CED, the Third Angles Theorem supports that ∠8≅∠3. Therefore, using the <u>(angle-side-angle criterion)</u>, it can be stated that △AEB≅△CED. Then, applying the definition of congruent triangles, it can be stated that AE¯≅CE¯, which makes E the midpoint of AC¯. Use a similar argument to prove that △AED≅△CEB; then it can be concluded that E is also the midpoint of BD¯. Since the midpoint of both line segments is the same point, the segments bisect each other by definition. Match each number (1 and 2) with the word or phrase that correctly fills in the corresponding blank in the proof.
A parallelogram posses the following features:
1. The opposite sides are parallel.
2. The opposite sides are congruent.
3. It has supplementary consecutive angles.
4. The diagonals bisect each other.
Answer:
$1913.34
Step-by-step explanation:
$1784 (original amount) * 7.25% (sales tax) = $129.34 Tax paid
129.34 + 1784 = Price after tax
Mutations can happen because of damage by environmental factors, such as radiation and chemicals. Viruses may also cause DNA damage. Mutation can also occur during DNA replication due to errors. When DNA is changed the protein it codes may become non-functional or it may change its shape. Some genes control other genes. For example, the Hox genes are responsible for controlling other genes during development. They specify where the head, body and legs may be located, and also where where your nose, ears and eyes are located on your head. A mutation in the Hox genes, for example, may cause big changes, for example, a wing that grows out of the eyes of a fruit fly is due to a mutation in the Hox gene. Hox genes do not tell how wings are formed, just where it may be formed. If a gene that controls the development of the wing or legs or nose has a mutation then it may change the shape of the wing, leg, or nose.
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There are also some genes that do not govern the development of body parts, but they nevertheless have influence on traits. For example, the genes that govern the manufacture of eumelanin, if they malfunction, may result in such traits as light skin, blue eyes, and/or blond hair, because eumelanin is the pigment that gives hair, skin and eyes their dark brown to black color. An albino African, for example, will have light skin and even blue eyes and blond hair, because his/her genes for manufacturing eumelanin is defective. Some other genes control other traits but their effects are not as visible. For example, a mutation in some people's genes make them resistant to the HIV virus and the Bubonic plague, but such a trait is not visible from the outside.</span>
It's 0.720. you just divide 103 and 143 and get the first three numbers
Answer:The whole numbers are the numbers 0, 1, 2, 3, 4, and so on (the natural numbers and zero). Negative numbers are not considered "whole numbers." All natural numbers are whole numbers, but not all whole numbers are natural numbers since zero is a whole number but not a natural number.
Step-by-step explanation:
