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Archy [21]
3 years ago
13

How do you find the angle measure?

Mathematics
1 answer:
yulyashka [42]3 years ago
5 0

Answer:

∠ XYZ = 41°

Step-by-step explanation:

∠ XYZ = ∠ 3x + 20 ( corresponding angles ) , thus

8x - 15 = 3x + 20 ( subtract 3x from both sides )

5x - 15 = 20 ( add 15 to both sides )

5x = 35 ( divide both sides by 5 )

x = 7

Thus

∠ XYZ = 8x - 15 = 8(7) - 15 = 56 - 15 = 41°

You might be interested in
Hiroshi has 4 engines and 18 box cars. Find the ratio of engines to box cars. Write the ratio as a fraction in simplest form.
lyudmila [28]
To write a ratio as a fraction, we simply take the first number in the ratio and make it the numerator while taking the second number in the ratio and making it the denominator.

Because we want the ratio of engines to box cars, our ratio should be:

number of engines/number of box cars

When we substitute in our respective values, we get:

4/18

To simplify this ratio, we have to find the GCF, or greatest common factor of the numerator and the denominator, which in this case is 2. To simplify, we divide both the numerator and the denominator by the GCF, as follows:

4/2 / 18/2

When we simplify, we get:

2/9

Therefore, your answer is 2/9.

Hope this helps!
4 0
2 years ago
Bethany wears jeans every 2 days. She wears running shoes every 3 days. If she wears jeans with running shoes on May 1, what are
Vladimir [108]
May 7, May 13, May 20.
This is because the pattern is (Black is not wearing):
Jeans: ⚫️⚫️⚫️
Shoes: ⚫️⚫️⚫️⚫️
8 0
3 years ago
Find the side of a square whose diagonal is of the given measure.<br> Given = 15.2 cm
Neko [114]

Answer:

15cm

Step-by-step explanation:

First, a square's diagonal is basically the hypotenuse of a 45-45-90 triangle. a 45-45-90 triangle has a really special relationship, where the side length is x, and the diagonal is x \sqrt{2}. So, the side length is 15.

8 0
3 years ago
Read 2 more answers
(x+7)^2+9=0<br><br> Find x with quadratics
Ne4ueva [31]

Answer:

x = -7 ±3i

Step-by-step explanation:

(x+7)^2+9=0

Subtract 9 from each side

(x+7)^2+9-9=0-9

(x+7)^2=-9

Take the square root of each side

sqrt((x+7)^2) = ±sqrt(-9)

We know sqrt(ab) = sqrt(a) sqrt(b)

x+7 = ±sqrt(-1) sqrt(9)

We know that sqrt(-1) is the imaginary number i

x+7 = ±i *3

x+7 =±3i

Subtract 7 from each side

x+7-7 = -7 ±3i

x = -7 ±3i

6 0
3 years ago
Read 2 more answers
You know that there is a strong correlation between the consumption of ice cream and body weight. The Pearson's r = 0.78. You al
Naddika [18.5K]

Answer:

y = 7.8x + 26

Step-by-step explanation:

Given the following :

Pearson's r = 0.78

Average consumption of ice cream = 5 grams per week (m) with Standard deviation (sd) = 1.5 grams

Average weight = 65 kg with standard deviation of 15kg

Formular for the regression line :

General regression formula :

y = mx + c

y = predicted variable ; m = slope or gradient ; x = predictor variable ; c = intercept

Gradient (m) = change in y / change in x

m = (sd y / sd x) * r

m = (sd weight / sd ice cream) × r

m = (15 / 1.5) × r

m = 10 × 0.78 = 7.8

Intercept:

mean of weight(y) - [Slope×mean of icecream(x)]

65 - [7.8 × 5]

65 - 39 = 26

Hence,

y = 7.8x + 26

5 0
3 years ago
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