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disa [49]
3 years ago
8

Find the value of x in simplest radical form

Mathematics
1 answer:
Marta_Voda [28]3 years ago
3 0
Bro the answer is 2. Because I’m a high school student. you can trust me
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What is the value of x?
artcher [175]
By Sine Rule,

x/sin30° = 8/sin90°

x/0.5 = 8/1

So x = 4.
8 0
3 years ago
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Darío buys applesauce cups for a family reunion. He needs 23 cups, and he buys them in packs of 6. How many packs does Dario nee
ioda

Answer:

He needs four packs.

Step-by-step explanation:

6*4=24 there is 23 so he will need 4 packs in total.

3 0
3 years ago
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In ΔABC, m∠B = m∠C. The angle bisector of ∠B meets AC at point H and the angle bisector of ∠C meets AB at point K. Prove that BH
solniwko [45]

Answer:

See explanation

Step-by-step explanation:

In ΔABC, m∠B = m∠C.

BH is angle B bisector, then by definition of angle bisector

∠CBH ≅ ∠HBK

m∠CBH = m∠HBK = 1/2m∠B

CK is angle C bisector, then by definition of angle bisector

∠BCK ≅ ∠KCH

m∠BCK = m∠KCH = 1/2m∠C

Since m∠B = m∠C, then

m∠CBH = m∠HBK = 1/2m∠B = 1/2m∠C = m∠BCK = m∠KCH   (*)

Consider triangles CBH and BCK. In these triangles,

  • ∠CBH ≅ ∠BCK (from equality (*));
  • ∠HCB ≅ ∠KBC, because m∠B = m∠C;
  • BC ≅CB by reflexive property.

So, triangles CBH and BCK are congruent by ASA postulate.

Congruent triangles have congruent corresponding sides, hence

BH ≅ CK.

5 0
3 years ago
The difference of two numbers is 8. If the sum of the smaller number and the square of the larger number is 148, what is the sma
Mice21 [21]

Answer:

140

8 minuses by 148 is 140

4 0
3 years ago
The sales tax on a surfboard is $12. What is the percent of sales tax if it is $240
Mazyrski [523]

Answer: Percentage of sales tax will be 5%.

Step-by-step explanation:

Since we have given that

Original amount of a surfboard = $240

Sales tax on a surfboard = $12

So, Percentage of sales tax will be

\frac{Sales\ tax}{Original\ price}\times 100\\\\=\frac{12}{24}\times 100\\\\=\frac{1}{2}\times 100\\\\=\frac{100}{2}\\\\=5\%

Hence, Percentage of sales tax will be 5%.

3 0
3 years ago
Read 2 more answers
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