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1 year ago

Which statement is true?

Mathematics

2 answers:

nikklg [1K]1 year ago

8 0

-8>-9

Step-by-step explanation:

when its a negative number, the number closer to zero is the answer

irinina [24]1 year ago

3 0

Answer:

-8 > -9

Step-by-step explanation:

Every other question says greaten then, on the other side or other way around.
The higher the number in negatives, the less it actually is.

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Fill in each blank with a true statement. . 4. IF ZAS ZB and the supplement of ZB has measure 22°, then ZA =

Maksim231197 [3]

Angles are undefined terms in plane geometry.

The true statements are:

4. $\angle A = 158$ .
5. $\angle Q =90$
6. $\angle U$ is an obtuse angle
7. Its supplement must be an acute angle
8. See attachment

Question 4

The first statement is represented as:

$\angle A \cong \angle B$

Supplement of $\angle B = 22^o$

$\angle A \cong \angle B$ means that A and B are congruent.

The supplementary of A and B would be the same

The measure of A is then calculated as:

$\angle A + 22 = 180$

Subtract 22 from both sides

$\angle A = 180 -22$

$\angle A = 158$

Question 5

If LP and LQ are linear pairs, then:

$LP + LQ = 90$

So:

$\angle Q + LP + LQ = 180$

Substitute $LP + LQ = 90$

$\angle Q + 90 = 180$

Subtract 90 from both sides

$\angle Q =- 90 + 180$

$\angle Q =90$

Question 6

$\angle S + \angle T = 90$ --- S and T are supplementary

$\angle T + \angle U = 180$ --- T and U are complementary

Subtract both equations

$\angle S + \angle T - \angle T - \angle U = 90 - 180$

$\angle S - \angle U = -90$

Make U the subject

$\angle U = 90 + \angle S$

This means that:

$\angle U > 90$

Hence, $\angle U$ is an obtuse angle

Question 7

Obtuse angles are greater than 90 degrees but less than 180.

This means that their supplement must be an acute angle (i.e. less than 90)

Question 8

See attachment

Read more about angles at:

brainly.com/question/13954458

8 0

1 year ago

Express 5x²-15x+1 in the form p(x+q)²+r, where p,q,r ate constants

AysviL [449]

Answer:

$5\bigg(x-\frac{3}{2}\bigg)^2-\frac{41}{4}$

Step-by-step explanation:

$5x^2-15x +1$

$= 5\bigg(x^2-3x +\frac{1}{5}\bigg)$

$=5\bigg[x^2-2.\frac{3}{2}x +\bigg(\frac{3}{2}\bigg)^2-\bigg(\frac{3}{2}\bigg)^2+\frac{1}{5}\bigg]$

$=5\bigg[\bigg(x-\frac{3}{2}\bigg)^2+\frac{1}{5}-\frac{9}{4}\bigg]$

$=5\bigg[\bigg(x-\frac{3}{2}\bigg)^2+\frac{4-45}{20}\bigg]$

$=5\bigg(x-\frac{3}{2}\bigg)^2-5.\frac{41}{20}$

$=5\bigg(x-\frac{3}{2}\bigg)^2-5.\frac{41}{20}$

$=5\bigg(x-\frac{3}{2}\bigg)^2-\frac{41}{4}$

7 0

1 year ago

What is 4/5(x+1) in standard form

madreJ [45]

Answer 4/5x+4/5

Step-by-step explanation:

5 0

2 years ago

Use the image below to determine the type of angle pair,

Aleonysh [2.5K]

Answer:

Name: alternate exterior angles

Relationship: they are congruent. (15x + 5)° = (14x + 11)

Value of x: 6

Missing angle measures: 95°

Step-by-step explanation:

The two angles given, (15x + 5)° and (14x + 11)°, are both alternate exterior angles that lie outside the parallel lines, with each lying in the opposite direction to each other on the transversal that crosses the parallel lines. This type of angle pair is: alternate exterior angles.

The relationship that exist between this type of angle pair is: alternate exterior angles are congruent. Therefore, (15x + 5)° = (14x + 11)°.

Use the above stated equation derive from the relationship to find the value of x:

$15x + 5 = 14x + 11$

Combine like terms

$15x + 5 - 14x = 14x + 11 - 14x$ (Subtraction property of equality)

$x + 5 = 11$

$x + 5 - 5 = 11 - 5$ (Subtraction property of equality)

$x = 6$

Plug in the value of x into the expression of each missing angle to find their measures:

(15x + 5)° = 15(6) + 5 = 90 + 5 = 95°

(14x + 11)° = 14(6) + 11 = 84 + 11 = 95°

8 0

2 years ago

Which of the following describes a similarity between the British colonies in

andriy [413]

Answer:

C. After gaining independence, territory in both former colonies was divided due to religious conflicts

Step-by-step explanation:

The British had India as their colony, and Palestine as their mandate. Once the World War II ended though, the British saw that they are not in a financial position to be able to keep their colonies and mandates, so they decided to grant them independence. The independence didn't went as desired by the locals though, as both India and Palestine got partitioned because of religious reasons. India was partitioned into Hindu and Muslim part, while Palestine and Muslim and Jewish part. The situation in the Indian subcontinent quickly escalated, as well as in Palestine where the Arabs saw the formation of Israel as stealing of their land.

3 0

2 years ago