Answer:
3. The missing angle is 56°
4. x = 7
Step-by-step explanation:
3.
We know sum of 3 angles in a triangle is 180°.
Looking at the top triangle, we can figure out the third angle. Let third angle be x:
85 + 35 + x = 180
120 + x = 180
x = 180 - 120
x = 60
<u>The angle "x" and the angle that is missing from the "bottom" triangle in the figure, are vertical angles, and hence, are EQUAL.</u>
So the bottom triangle now has 2 angles, 60 and 64 (given). Let the third angle be y(the one with a question mark). So we can write:
60 + 64 + y = 180
124 + y = 180
y = 180 - 124
y= 56
This is the missing angle.
4.
10x - 5 AND 8x + 9 are vertical angles. They ARE EQUAL.
Thus we can write the equation:
(10x-5) = (8x+9)
10x-8x=9+5
2x=14
x=14/2
x=7
So x = 7
The product of the given fractions, -2/9(-5/3), is: 10/27.
<h3>How to Find the Product of Two Fractions?</h3>
Given the fractions, -2/9(-5/3), recall that minus multiplied by minus equals plus.
So therefore, the product of the two fractions would be a positive number. Thus:
-2/9(-5/3) = (-2 × -5)/(9 × 3)
-2/9(-5/3) = 10/27
Therefore, the product is: 10/27.
Learn more about product of fractions on:
brainly.com/question/82108
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Answer:
9x2 +42x + 24 <u>is</u> (x + 4) (9x + 6)
9x2 + 30x + 24 <u>is</u> (3x + 6) (3x + 4)
9x2 + 58x + 24 <u>is</u> (9x + 4) (3x + 4)
I tried reversing it, instead of doing these - 9x2 + 58x + 24 I did (9x + 4) (3x + 4)
Answer:
Hay 3,875 litros de jugo multifrutal.
Step-by-step explanation:
<em>(Se asume que el problema fue propuesto en un país distinto a los Estados Unidos, razón por la cual se emplea las reglas del Sistema Internacional.)</em>
La capacidad de jugo multifrutal en el bidón se obtiene con la mezcla de cada jugo frutal y se logra mediante la suma de cada capacidad. A partir del enunciado, tenemos que la capacidad del jugo multifrutal es:
Hay 3,875 litros de jugo multifrutal.
