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4 years ago

What is 75% of 18 years

Mathematics

2 answers:

AlexFokin [52]4 years ago

4 0

13.5 because .75 times 18 is 13.5
~JZ

OleMash [197]4 years ago

3 0

That sentence in math terms means: x = 0.75 * 18
0.75 * 18 = 13.5
13.5 years

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ΔABC and ΔDEF appear to be similar. Which set of measurements prove that the two triangles are similar?

Triss [41]

Answer:

Step-by-step explanation:

Similar triangles have congruent corresponding angles, and proportional corresponding sides.

The only angle given is angle A, which will correspond to angle D if the similarity statement is true. That is, angle D must be 35°. (Eliminates choice D)

The ratios of the given sides are AB:AC = 9:12 = 3:4. The corresponding sides would be DE:DF. (Eliminates choice A)

The remaining choices have side ratios of ...

B. DE : DF = 16 : 21 ≠ 3 : 4

C. DE : DF = 12 : 16 = 3 : 4

The set of measurements that would make ΔABC ~ ΔDEF is ...

DE = 12, DF = 16, and ∠D = 35°

5 0

2 years ago

If sin(x) = cos(y) for acute angles x and y, how are the angles related?

Vesnalui [34]

Answer:

b. complementary

Step-by-step explanation:

-Complementary angles are angles that add up to 90°.

-These are usually the two acute angles in the right triangle.

#To verify, lets take the two angles 30° and 60°:

$Cos \ 60\textdegree=0.5\\\\Sin \ 30\textdegree=0.5\\\\\therefore Sin \ 30\textdegree=Cos \ 60 \textdegree=0.5$

#We can reverse as:

$Sin \ 60\textdegree=0.86603\\\\Cos \ 30\textdegree=0.86603\\\\\therefore Sin \ 60\textdegree=Cos \ 30\textdegree=0.86603$

Hence, two angles are said to be complimentary if they sum up to 90°.

6 0

3 years ago

Two ropes, AD and BD, are tied to a peg on the ground at point D. The other ends of the ropes are tied to points A and B on a fl

Lisa [10]

Answer: 5(√3-1) unit.

Step-by-step explanation:

Since, By the below diagram,

For triangle BDC,

We can write,

$tan 30^{\circ}=\frac{BC}{DC}$

⇒ $\frac{1}{\sqrt{3}}=\frac{BC}{5\sqrt{3}}}$

⇒ $\sqrt{3}=\frac{5\sqrt{3}}{BC}$

⇒ $BC=\frac{5\sqrt{3} }{\sqrt{3} }$

⇒ $BC=5\text{ unit}$

Now, In triangle ADC,

$tan45^{\circ}=\frac{AC}{DC}$

⇒ $1=\frac{AB+BC}{DC}$

⇒ $1=\frac{DC}{AB+BC}$

⇒ $1=\frac{5\sqrt{3}}{AB+5}$

⇒ $AB+5=5\sqrt{3}$

⇒ $AB=5\sqrt{3}-5=5(\sqrt{3}-1)\text{ unit}$

8 0

3 years ago

Read 2 more answers

Solve the equation. 8-2x = -8x + 14 x = -1 x=-3:5 x=3/5 X= 1

kenny6666 [7]

X=1
8-2x=-8x+14
-2x=-8x+6
6x=6
x=1

5 0

3 years ago

Write an expression 12×4 in words

Oxana [17]

Answer:

12 times 4, or 12 multiply by 4

4 0

3 years ago