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2 years ago

How do I find the variables here? ;-;

Mathematics

2 answers:

zepelin [54]2 years ago

7 0

Answer:

y = 116

w = 116

x = 4

Step-by-step explanation:

a // b and t is transversal.

y + 64 = 180 {co-interior angles are supplementary}

y = 180- 64

y = 116

w = y {Alternate interior angles are equal}

w = 116

4x² = 64 {Alternate interior angles are equal}

x² = 64/4

x² = 16

x² = 4²

x = √(4*4)

x = 4

ELEN [110]2 years ago

3 0

Answer:

64 times 4 and add the x at the end = 256x

Step-by-step explanation:

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Solve this problem thanks

vovikov84 [41]

The three missing lengths are the left hypotenuse, x, the middle altitude, y, and the right hypotenuse, z.

9/y = y/16

y^2 = 9 * 16

y^2 = 144

y = 12

9^2 + 12^2 = x^2

x^2 = 225

x = 15

12^2 + 16^2 = z^2

z^2 = 400

z = 20

From left to right, the sides measure 15, 12, and 20 units.

5 0

3 years ago

Read 2 more answers

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Greeley [361]

I DONT UNDERSTAND YOUR LANGUAGE IM SORRY ILL TRY TO TRANSLATE

6 0

3 years ago

What is the best first step in solving the equation 3+√6x=5?

AleksAgata [21]

Cube both sides
remember PEMDAS
parentheses
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Addition
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3 0

2 years ago

Caroline has some dimes and some quarters. She has a maximum of 15 coins worth at least $2.85 combined. If Caroline has 3 dimes,

gayaneshka [121]

Answer:

11, 12.

Step-by-step explanation:

Let q represent number of quarters.

We have been given that Caroline has a maximum of 15 coins worth at least $2.85 combined. We are also told that Caroline has 3 dimes. This means that total coins are less than or equal to 15.

We can represent this information in an inequality as:

$q+3\leq 15...(1)$

We are also told that the coins worth at least $2.85 combined. This means that the worth of all coins is greater than or equal to 2.85.

We know that each dime is worth $0.10 and each quarter is worth $0.25.

$0.25q+3(0.10)\geq 2.85...(2)$

Now, let us solve our system of inequalities.

From 1st inequality, we will get:

$q+3-3\leq 15-3$

$q\leq 12$

From 2nd inequality, we will get:

$0.25q+0.30\geq 2.85$

$0.25q+0.30-0.30\geq 2.85-0.30$

$0.25q\geq 2.55$

$\frac{0.25q}{0.25}\geq \frac{2.55}{0.25}$

$q\geq 10.2$

Upon combining our both inequalities, we will get:

$10.2\leq q\leq 12$

This means that numbers of quarters would be greater than or equal to 10.2 and less than or equal to 12.

Since we cannot have 0.2 of a coin, therefore, Caroline could have 11 or 12 quarters.

6 0

3 years ago

If ∠BAC = 17° and ∠CED = 17° are the two triangles, ΔBAC and ΔCED similar? If so, by what criterion?

Alborosie

No, not possible to tell that the the two triangles, ΔBAC and ΔCED

are similar ⇒ answer D

Step-by-step explanation:

Let us revise the cases of similarity

1. AAA similarity : two triangles are similar if all three angles in the first

triangle equal the corresponding angle in the second triangle

2. AA similarity : If two angles of one triangle are equal to the

corresponding angles of the other triangle, then the two triangles

are similar.

3. SSS similarity : If the corresponding sides of the two triangles are

proportional, then the two triangles are similar.

4. SAS similarity : In two triangles, if two sets of corresponding sides

are proportional and the included angles are equal then the two

triangles are similar.

In the two triangles BAC and CED

∵ m∠BAC = 17°

∵ m∠CED = 17°

∴ m∠BAC = m∠CED

But we need another pair of angles to prove that the two triangles are

similar by AA similarity criterion

<em>OR </em>

The lengths of sides BA , CA and CE , DE to show that

$\frac{BA}{CE}=\frac{CA}{DE}$ = constant ratio and prove that the

two triangles are similar by SAS similarity criterion

So it is not possible to prove that the two triangles are similar

No, not possible to tell that the the two triangles, ΔBAC and ΔCED

are similar

Learn more:

You can learn more about triangles in brainly.com/question/4354581

#LearnwithBrainly

5 0

3 years ago

Read 2 more answers