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3 years ago

What must be the value of x?

Mathematics

2 answers:

tangare [24]3 years ago

7 0

Type the question out

MA_775_DIABLO [31]3 years ago

5 0

Answer: 25.0

Step-by-step explanation:

In the given figure ST is a diameter of the Circle.

The central angle subtended by a diameter in a circle is 180°.

Then, According to the given figure , we have

$(2x+8)^{\circ}+(3x-14)^{\circ}+(3x-14)^{\circ}=180^{\circ}\\\\\Rightarrow\ 2x+8+3x-14+3x-14=180\\\\\Rightarrow\ 8x-20=180\\\\\Rightarrow\ 8x=180+20\\\\\Rightarrow\ 8x=200\\\\\Rightarrow\ x=\dfrac{200}{8}\\\\\Rightarrow\ x==25$

Hence, the value of x is 25.0.

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Answer for a lot of points!

earnstyle [38]

Given :

ZC = 90°

CD is the altitude to AB.

$\angle$ A = 65°.

To find :

the angles in △CBD and △CAD if m∠A = 65°

Solution :

In Right angle △ABC,

we have,

=> ACB = 90°

=> $\angle$ CAB = 65°.

So,

=> $\angle$ ACB + $\angle$ CAB+ $\angle$ ZCBA = 180° (By angle sum Property.)

=> 90° + 65° + $\angle$ CBA = 180°

=> 155° + $\angle$ CBA = 180°

=> $\angle$ CBA = 180° - 155°

=> $\angle$ CBA = 25°.

In △CDB,

=> CD is the altitude to AB.

So,

=> $\angle$ CDB = 90°

=> $\angle$ CBD = $\angle$ CBA = 25°.

So,

=> $\angle$ CBD + $\angle$ DCB = 180° (Angle sum Property.)

=> 90° +25° + $\angle$ DCB = 180°

=> 115° + $\angle$ DCB = 180°

=> $\angle$ DCB = 180° - 115°

=> $\angle$ DCB = 65°.

Now, in △ADC,

=> CD is the altitude to AB.

So,

=> $\angle$ ADC = 90°

=> $\angle$ CAD = $\angle$ CAB = 65°.

So,

=> $\angle$ ADC + $\angle$ CAD + $\angle$ DCA = 180° (Angle sum Property.)

=> 90° + 65° + $\angle$ DCA = 180°

=> 155° + $\angle$ DCA = 180°

=> $\angle$ DCA = 180° - 155°

=> $\angle$ DCA = 25°

Hence, we get,

$\angle$ DCA = 25°
$\angle$ DCB = 65°
$\angle$ CDB = 90°
$\angle$ ACD = 25°
$\angle$ ADC = 90°.

7 0

3 years ago

A new mixture of self-tanning & moisturizing lotions for everyday use is being developed. This mixture is made by mixing 70

vazorg [7]

For each ounce of the product, let
x = ounces of moisturizing lotion used,
y = ounces of self-tanning lotion used.

The sum of the two lotions per ounce is equal to one ounce. Therefore
x + y = 1 (1)

Moisturizing lotion costs $0.70 per ounce.
Self-tanning lotion costs $22 per ounce.

Because the product costs $1.30 per ounce. Therefore
0.70x + 22y = 1.30 (2)

From (1), obtain
y = 1 - x (3)

Substitute (3) into (2).
0.70x + 22(1 - x) = 1.30
0.70x - 22x + 22 = 1.30
-21.3x = -20.7
x = 0.9718 ounces
From (3), obtain
y = 1 - 0.9718 = 0.0282 ounces.

A batch of the product is 700 ounces. Therefore the amount of self-tanning lotion used is
700*y = 700*0.0282 = 19.74 ounces

Answer: 19.74 ounces

8 0

4 years ago

Using the diagram, find the value of x.

nata0808 [166]

If you could elaborate on what this is, I would be gladly to assist you, but there is uncertainty going on here. I apologise.

4 0

3 years ago

WILL GIVE BRAINLIEST (URGENT)

olganol [36]

Answer:

Step-by-step explanation:

7 0

3 years ago

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Describe the cisternal maturation model of golgi function.

Flura [38]

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3 years ago