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3 years ago

What’s the answer to this thank u for ur help:)

Mathematics

2 answers:

yuradex [85]3 years ago

8 0

Answer:

Step-by-step explanation:

If we reflect triangle BCD about the line perpendicular to the diameter, it will coincide exactly with triangle DAC; the two triangles are congruent.

goldfiish [28.3K]3 years ago

6 0

Answer:

b. DAC≅DBC

Step-by-step explanation:

∠DCB≅∠DCA=90° as they are right angles at the perpendicular lines

DC=DC reflexive property(they are the same line)

AC=CB they are both the radius of the same circle

DAC≅DBC due to SAS(Side angle Side)

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4x + y = 7 3x + 2y = 9

Diano4ka-milaya [45]

Answer:

x = 1

y = 3

Step-by-step explanation:

<h2>Substitution Method:</h2>

Step 1:

Name The Equation

4x + y = 7 ...(1)

3x + 2y = 9 ...(2)

Step 2:

From Equation (1) we get,

4x = 7 - y

i.e.,

x = 7 - y/4

Step 3:

Substitute the value of x = 7 - y/4 in equation (2)

i.e.,

3(7 - y/4) + 2y = 9

21 - 3y/4 + 2y = 9

21 - 3y + 8y/4 = 9

21 - 3y + 8y = 9 * 4

21 + 5y = 36

5y = 36 - 21

5y = 15

y = 15/5

y = 3

Step 4:

Substitute the value of y = 3 in equation (1)

4x + y = 7

i.e.,

4x + (3) = 7

4x + 3 = 7

4x = 7 - 4

4x = 4

x = 4/4

x = 1

<h2>Verification: </h2>

4x + y = 7 i.e., 4(1) + (3) = 7

3x + 2y = 9 i.e., 3(1) + 2(3) = 9

3 0

2 years ago

write an equation of the line that passes through the given point and has the given slope slope is -3 (-5, 4)

Paraphin [41]

point slope form of a line

y-y1 = m(x-x1)

y-4 = -3(x--5)

y-4 =-3(x+5)

to change to slope intercept form

dstribute

y-4 = -3x-15

add 4 to each side

y = -3x-15+4

y = -3x-11

3 0

3 years ago

Use a half-angle identity to find the exact value

Tatiana [17]

Given:

$\cos 15^{\circ}$

To find:

The exact value of cos 15°.

Solution:

$$\cos 15^{\circ}=\cos\frac{ 30^{\circ}}{2}$

Using half-angle identity:

$$\cos \left(\frac{x}{2}\right)=\sqrt{\frac{1+\cos (x)}{2}}$

$$\cos \frac{30^{\circ}}{2}=\sqrt{\frac{1+\cos \left(30^{\circ}\right)}{2}}$

Using the trigonometric identity: $\cos \left(30^{\circ}\right)=\frac{\sqrt{3}}{2}$

$$=\sqrt{\frac{1+\frac{\sqrt{3}}{2}}{2}}$

Let us first solve the fraction in the numerator.

$$=\sqrt{\frac{\frac{2+\sqrt{3}}{2}}{2}}$

Using fraction rule: $\frac{\frac{a}{b} }{c}=\frac{a}{b \cdot c}$

$$=\sqrt{\frac {2+\sqrt{3}}{4}}$

Apply radical rule: $\sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}$

$$=\frac{\sqrt{2+\sqrt{3}}}{\sqrt{4}}$

Using $\sqrt{4} =2$ :

$$=\frac{\sqrt{2+\sqrt{3}}}{2}$

$$\cos 15^\circ=\frac{\sqrt{2+\sqrt{3}}}{2}$

5 0

3 years ago

Fracción equivalente 1/10

Tcecarenko [31]

2/20 is equivalent to 1/10 because 2/2 is equal to 1 and 20/2 is equal to 10.

6 0

2 years ago

drake picks 8 gallons of pecans. He sells the pecans at his produce stand in 1/3 pound bags. how many bags of pecans did drake s

Igoryamba

List the four types of organic macromolecules. Provide specific molecular examples of each.

3 0

2 years ago