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storchak [24]
3 years ago
12

In the figure shown the value of a is equal to

Mathematics
1 answer:
Vikentia [17]3 years ago
6 0

Answer:

a = 7.2

Step-by-step explanation:

The figure has been re-labelled and attached to this response.

From the figure, the larger right triangle DAB and the small right triangle BCA are similar. This is because;

i. They have two corresponding congruent angles which are<em> the right angle</em>

and <em>angle B</em>

Therefore, we can say that;

\frac{|DB|}{|BA|} = \frac{|AB|}{|BC|}

\frac{13}{a} = \frac{a}{4}

<em>Cross multiply</em>

a x a = 13 x 4

a² = 52

a = √52

a = 7.2

Note: The figure showing the similar triangles has also been attached to this response.

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Solve. Simplify your answer
iris [78.8K]

Answer:

W= 50

Step-by-step explanation:

log(w)+log(2)=2

log(w)+0.30103=2

Step 1: Add -0.30103 to both sides.

log(w)+0.30103+−0.30103=2+−0.30103

log(w)+0=1.69897

Step 2: Divide both sides by 1.

log(w)+01=1.698971

log(w)=1.69897

Step 3: Solve Logarithm.

log(w)=1.69897

10log(w)=101.69897(Take exponent of both sides)

w=101.69897

w=50

Hope this helped

6 0
3 years ago
Pls Answer the first one and the second question
lianna [129]

Answer:

here wo go with the answerrrrrrrrrrr

3 0
2 years ago
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Find the values that make this a parallelogram (please show work)
Dmitry [639]

Answer:

Correct answer is: 7. y = 28° and x = 29°   8. y = 7 and x = 5

Step-by-step explanation:

7.

In the parallelogram, adjacent angles are supplementary and the opposite angles are the same.

According to this:

(3 y - 20) + (4 y + 4) = 180 => 7 y - 16 = 180 => 7 y = 180 + 16 => 7 y = 196

y = 196/7 = 28°  =>  y = 28°

4 x + (2 x + 6) = 180 => 6 x + 6 = 180 => 6 x = 180 - 6 => 6 x = 174

x = 174/6 = 29°  => x = 29°

8.

At the parallelogram, the diagonal is split into two equal parts.

According to this:

3 y - 3 = 2 y + 4 => 3 y - 2 y = 4 + 3 => y = 7

x - 1 = 2 x - 6 => 2 x - x = 6 - 1 => x = 5

God with you!!!

7 0
3 years ago
Which data set represents the box plot? A) {56, 66, 93, 90, 57, 66, 69, 68, 76, 64, 48} B) {56, 66, 95, 90, 57, 66, 69, 68, 76,
iVinArrow [24]

Answer:

B) {56, 66, 95, 90, 57, 66, 69, 68, 76, 64, 51}

Step-by-step explanation:

{56, 66, 95, 90, 57, 66, 69, 68, 76, 64, 51} is the only data set that matches the maximum and minimum, upper and lower quartile, and median values.

4 0
3 years ago
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Tickets to a school dance cost $5. Ninety tickets have already been sold. How many more tickets x must be sold to earn at least
alex41 [277]

Step-by-step explanation:

5x90=450

700-450=250

250/5=50

50 more tickets.

i don't know if that's in an inequality form or not. but that's how many tickets

4 0
3 years ago
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