2 years ago

Find the value of x in the triangle.

1 answer:

3 0

$= > 3x + 15 + 4x + 12 = 180 \\ = > 7x + 27 = 180 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = > \: 7x = 180 - 27 = 153 \: \: \: \: \\ x = \frac{153}{7} = 21 \\ x = 21$

You might be interested in

Translation of a 2D shape.. Due in tomorrow, please help! Xx

bazaltina [42]

(5,7) (5,4) (7,4) hope that helps

4 0

3 years ago

List 2 integers that are congruent to 4 modulo 14.

vivado [14]

Answer:

32, 46

Step-by-step explanation:

Remember, a is congruent to b modulo d if d divides a-b.

Now, the problem says that b=4 and d=14.

Let a=32. Observe that a-b=28 and $\frac{28}{14}=2$ , then 32 is congruent to 4 modulo 14.

Let a=46. Observe that a-b=46-4=42 and $\frac{42}{14}=3$ , then 46 is congruent to 4 modulo 14.

7 0

3 years ago

An open box is to be made from a six inch by six inch piece of material by cutting equal squares from the corners and turning up

Virty [35]

Answer:

8 inch³

Step-by-step explanation:

Side should be 2 inch

Volume = side³ = 2³ = 8 inch³

4 0

2 years ago

Read 2 more answers

PLEASE HELP What is the radical form of the expression 423 ? 43−−√ 34−−√ 42−−√3 24−−√3

ira [324]

For this case we must express the number "423" in a radical way.

We have to, we can rewrite it as:

$423 = 9 * 47 = 3 ^ 2 * 47$

So, we have to:

$423 = \sqrt {3 ^ 2 * 47}$

By definition of properties of powers and roots we have:

$\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}$

So:

$423 = \sqrt {3 ^ 2 * 47} = 3 \sqrt {47}$

Answer:

$3 \sqrt {47}$

8 0

2 years ago

the longest side of an acute isosceles triangle 8 centimeters . Round to the nearest tenth, what is the smallest possible length

Triss [41]

Let x be the length of each of two congruent sides.

The triangle will be аcute if:
x² + x² > 8²
2x² > 64
x² > 32
x > √32
x > 5.657

So, the smallest possible length of one of two congruent sides have to be 5.7 cm (to the nearest tenth)

7 0

3 years ago

Read 2 more answers