All categories

3 years ago

YW bisects <XYZ. m<XYW=(2x+7) and m<XYZ= (6x-8). find the value of the X and the measure of <XYZ

Mathematics

1 answer:

Alina [70]3 years ago

4 0

See Image first.

Finding X
2. 2(2x+7) = 6x-8
3. 4x + 14 = 6x -8
4. 22 = 2x
5. x = 11

Finding m<XYW
2x + 7
2 ( 11) +7
29 degrees

Finding m<XYZ
2(2x+7)
4x + 14
4 * 11 + 14
58 degrees

CHECK:
6x -8
6 (11) - 8
58 degrees (CHECK!)

ANSWER: x= 11
m<XYZ = 58 degrees

You might be interested in

Help if you can please

mario62 [17]

its the red one

i learnt it in school

7 0

3 years ago

What is the smallest quantil used in the recipe

daser333 [38]

1/8 teaspoon saffron or ground turmeric

4 0

3 years ago

A set of electric toothbrush prices are normally distributed with a mean of 87 dollars and a standard deviation of

Studentka2010 [4]

Answer:

The proportion of electric toothbrush prices are between 104.60 dollars and 108.20 dollars is 0.0099

Step-by-step explanation:

A set of electric toothbrush prices are normally distributed with a mean of 87 dollars and a standard deviation of 8 dollars.

$Mean = \mu = 87$

Standard deviation = $\sigma = 8$

We are supposed to find proportion of electric toothbrush prices are between 104.60 dollars and 108.20 dollars i.e.P(104.60<x<108.20)

$Z=\frac{x-\mu}{\sigma}$

At x = 104.60

$Z=\frac{104.60-87}{8}$

Z= 2.2

At x=108.20

$Z=\frac{108.20-87}{8}$

Z= 2.65

Refer the z table for p value :

P(x<108.20)-P(x<104.60)=P(Z<2.65)-P(Z<2.2)=0.9960-0.9861=0.0099

Hence The proportion of electric toothbrush prices are between 104.60 dollars and 108.20 dollars is 0.0099

4 0

3 years ago

Write each expression with a single rational exponent. Show each step of your process. Which expressions are equivalent? Justify

Lena [83]

The expression of all the algebra as single rational exponent are; As written below.

<h3>How to Express Exponents?</h3>

1) We want to express ⁴√x³. This can be expressed as;

x^(3/4)

2) We want to express the exponent ¹/x⁻¹. This is expressed as a single rational exponent as; x

3) We want to have the given expression as a single rational exponent. The expression is; ¹⁰√(x⁵ · x⁴ · x²)

We add the exponents to get;

¹⁰√(x¹¹) = x^(¹¹/₁₀)

4) x^(¹/₃) * x^(¹/₃) * x^(¹/₃)

We just add the exponents to get;

x¹ = x

Read more about Exponents at; brainly.com/question/11761858

#SPJ1

3 0

2 years ago

The equation of the circle is (x+8)^2+(y+9)^2=169. Which of the following are the center and the radius of the circle

ipn [44]

The equation for a circle is (x - h)^2 + (y - k)^2 = r^2
where (h, k) is the center and r is the radius
(x + 8)^2 + (y + 9)^2 = 169
Since the equation is -h and -k, I will rewrite in terms of -h and -k.
(x - -8)^2 + (y - -9)^2 = 13^2
The center is (-8, -9) and the radius = 13
Let me know if you need me to explain further.

3 0

3 years ago